From 32edbb181687e1d3d3a52a24fa8f67a16b500895 Mon Sep 17 00:00:00 2001
From: rhiannon morris <rhi@rhiannon.website>
Date: Thu, 28 Dec 2023 01:00:25 +0100
Subject: [PATCH] a bunch of stuff sorry

---
 Makefile                                      |   45 +-
 acm.csl                                       |  170 ++
 apa-eu.csl                                    | 1584 +++++++++++++++++
 blog-meta/lib/Misc.hs                         |    1 +
 cabal.project                                 |   23 +-
 chrismas.md                                   |  189 ++
 images/crismas1.png                           |  Bin 0 -> 104475 bytes
 images/crismas2.png                           |  Bin 0 -> 71317 bytes
 images/panqt.nobg.png                         |  Bin 0 -> 36451 bytes
 images/panqt.nobg2x.png                       |  Bin 0 -> 101635 bytes
 images/panqt.png                              |  Bin 0 -> 36054 bytes
 images/panqt2x.png                            |  Bin 0 -> 99963 bytes
 images/qt.svg                                 |  128 ++
 images/quox-tod.png                           |  Bin 0 -> 382 bytes
 images/quox.png                               |  Bin 0 -> 2542 bytes
 lang                                          |    1 -
 posts-wip/2023-06-05-quox.md                  |  315 ++++
 posts-wip/2023-06-12-algorithmic-xtt.md       | 1014 +++++++++++
 posts-wip/2023-10-25-quox.md                  |  112 ++
 posts-wip/2023-10-25-quox.md.old              |  177 ++
 posts-wip/quox-type-system.md                 |  513 ++++++
 posts/{2022-09-16-ats.md => ats.md}           |    0
 posts/{2022-07-12-beluga.md => beluga.md}     |    0
 posts/chrismas.md                             |  100 ++
 ...igitle-in-maude.md => digitle-in-maude.md} |    0
 posts/{2022-10-24-fib.md => fib.md}           |    0
 ...-idris2-features.md => idris2-features.md} |    0
 quox.bib                                      |  182 ++
 style/counters.css                            |   54 +-
 style/niss.png                                |  Bin 0 -> 33040 bytes
 style/page.css                                |  187 +-
 syntax/quox.xml                               |  167 ++
 templates/post.html                           |    2 +-
 33 files changed, 4874 insertions(+), 90 deletions(-)
 create mode 100644 acm.csl
 create mode 100644 apa-eu.csl
 create mode 100644 chrismas.md
 create mode 100644 images/crismas1.png
 create mode 100644 images/crismas2.png
 create mode 100644 images/panqt.nobg.png
 create mode 100644 images/panqt.nobg2x.png
 create mode 100644 images/panqt.png
 create mode 100644 images/panqt2x.png
 create mode 100644 images/qt.svg
 create mode 100644 images/quox-tod.png
 create mode 100644 images/quox.png
 delete mode 160000 lang
 create mode 100644 posts-wip/2023-06-05-quox.md
 create mode 100644 posts-wip/2023-06-12-algorithmic-xtt.md
 create mode 100644 posts-wip/2023-10-25-quox.md
 create mode 100644 posts-wip/2023-10-25-quox.md.old
 create mode 100644 posts-wip/quox-type-system.md
 rename posts/{2022-09-16-ats.md => ats.md} (100%)
 rename posts/{2022-07-12-beluga.md => beluga.md} (100%)
 create mode 100644 posts/chrismas.md
 rename posts/{2022-03-14-digitle-in-maude.md => digitle-in-maude.md} (100%)
 rename posts/{2022-10-24-fib.md => fib.md} (100%)
 rename posts/{2022-11-12-idris2-features.md => idris2-features.md} (100%)
 create mode 100644 quox.bib
 create mode 100644 style/niss.png
 create mode 100644 syntax/quox.xml

diff --git a/Makefile b/Makefile
index 265d206..dafb498 100644
--- a/Makefile
+++ b/Makefile
@@ -6,17 +6,15 @@ REMOTE_DIR ?= blog
 TMPDIR      ?= _tmp
 BUILDDIR    ?= _build
 POSTSDIR    ?= posts
+IMAGESDIR   ?= images
 TEMPLATEDIR ?= templates
 
-STATICEXTS :=
-
-STATICS :=
-# STATICS != parallel find $(POSTSDIR) -name '\*.{}' ::: $(STATICEXTS)
+STATICS != find $(IMAGESDIR) -type f
 
 POSTS != find $(POSTSDIR) -name '*.md'
 OUTPUTPOSTS = \
   $(patsubst $(POSTSDIR)/%.md,$(BUILDDIR)/%.html,$(POSTS)) \
-  $(patsubst $(POSTSDIR)/%,$(BUILDDIR)/%,$(STATICS)) \
+  $(addprefix $(BUILDDIR)/,$(STATICS)) \
   $(BUILDDIR)/index.html
 
 STYLE != find style -type f
@@ -24,17 +22,15 @@ OUTPUTSTYLE = $(patsubst %,$(BUILDDIR)/%,$(STYLE))
 
 OUTPUT = $(OUTPUTPOSTS) $(OUTPUTSTYLE)
 
-LANGFILTER = $(TMPDIR)/langfilter
-LAANTAS_SCRIPT = $(TMPDIR)/laantas-script
 ALL_TAGS = $(TMPDIR)/all-tags
 POST_LISTS = $(TMPDIR)/post-lists
 NICE_DATE = $(TMPDIR)/nice-date
 SLUG_TAGS = $(TMPDIR)/slug-tags
 EXECS = \
-  $(LANGFILTER) $(LAANTAS_SCRIPT) \
+  $(LAANTAS_SCRIPT) \
   $(ALL_TAGS) $(POST_LISTS) $(NICE_DATE) $(SLUG_TAGS)
 
-CABAL_FLAGS ?= -O -v0
+CABAL_FLAGS ?= -O
 
 SYNTAXDIR := syntax
 SYNTAXFILES != find $(SYNTAXDIR) -name *.xml
@@ -47,7 +43,13 @@ all: build
 build: $(EXECS) $(OUTPUT)
 
 
-POSTDEPS = $(TEMPLATEDIR)/* $(LANGFILTER) $(LAANTAS_SCRIPT) $(SYNTAXFILES)
+LANGFILTER != cabal list-bin langfilter
+LAANTAS_SCRIPT != cabal list-bin laantas-script
+
+POSTDEPS = \
+  $(TEMPLATEDIR)/* \
+  langfilter laantas-script \
+  $(SYNTAXFILES) acm.csl quox.bib
 
 $(TMPDIR)/all-tags.md $(TMPDIR)/tags.mk &: $(POSTS) $(ALL_TAGS)
 	@echo "[all-tags]"
@@ -58,6 +60,9 @@ include $(TMPDIR)/tags.mk
 $(BUILDDIR)/%.html: $(POSTSDIR)/%.md $(POSTDEPS) ; $(call pandoc,post)
 $(BUILDDIR)/%.html: $(TMPDIR)/%.md   $(POSTDEPS) ; $(call pandoc,meta)
 
+.PHONY: langfilter laantas-script
+langfilter laantas-script: %: ; cabal build $@
+
 define pandoc
   @echo "[pandoc] $<"
   mkdir -p $(dir $@)
@@ -65,17 +70,17 @@ define pandoc
   LAANTAS_SCRIPT="$(LAANTAS_SCRIPT)" \
     DIRNAME="$(basename $@)" \
     FILENAME="$@" \
-    pandoc -s --toc --template $(TEMPLATEDIR)/$(1).html -o $@ $< \
+    pandoc -s --toc --toc-depth=2 --template $(TEMPLATEDIR)/$(1).html -o $@ $< \
       -f markdown+emoji \
       $(SYNTAXFLAGS) \
       --filter $(LANGFILTER) --filter $(NICE_DATE) --filter $(SLUG_TAGS) \
-      --mathjax
+      --mathjax --citeproc --csl=apa-eu.csl
 endef
 
 
-$(BUILDDIR)/%: $(POSTSDIR)/% ; $(copy)
-$(BUILDDIR)/%: $(TMPDIR)/%   ; $(copy)
-$(BUILDDIR)/%: %             ; $(copy)
+$(BUILDDIR)/%: $(POSTSDIR)/% ; $(call copy)
+$(BUILDDIR)/%: $(TMPDIR)/%   ; $(call copy)
+$(BUILDDIR)/%: %             ; $(call copy)
 
 define copy
   @echo "[copy] $<"
@@ -86,12 +91,10 @@ endef
 
 BLOG_META_DEPS != find blog-meta -type f
 
-$(LANGFILTER):     lang/langfilter/*     ; $(call cabal-exe)
-$(LAANTAS_SCRIPT): lang/laantas-script/* ; $(call cabal-exe)
-$(ALL_TAGS):       $(BLOG_META_DEPS)     ; $(call cabal-exe,blog-meta:)
-$(POST_LISTS):     $(BLOG_META_DEPS)     ; $(call cabal-exe,blog-meta:)
-$(NICE_DATE):      $(BLOG_META_DEPS)     ; $(call cabal-exe,blog-meta:)
-$(SLUG_TAGS):      $(BLOG_META_DEPS)     ; $(call cabal-exe,blog-meta:)
+$(ALL_TAGS):   $(BLOG_META_DEPS) ; $(call cabal-exe,blog-meta:)
+$(POST_LISTS): $(BLOG_META_DEPS) ; $(call cabal-exe,blog-meta:)
+$(NICE_DATE):  $(BLOG_META_DEPS) ; $(call cabal-exe,blog-meta:)
+$(SLUG_TAGS):  $(BLOG_META_DEPS) ; $(call cabal-exe,blog-meta:)
 
 define cabal-exe
   @echo "[build] $(notdir $@)"
diff --git a/acm.csl b/acm.csl
new file mode 100644
index 0000000..55166be
--- /dev/null
+++ b/acm.csl
@@ -0,0 +1,170 @@
+<?xml version="1.0" encoding="utf-8"?>
+<style xmlns="http://purl.org/net/xbiblio/csl" class="in-text" version="1.0" demote-non-dropping-particle="sort-only" default-locale="en-US">
+  <info>
+    <title>ACM SIG Proceedings ("et al." for 15+ authors)</title>
+    <id>http://www.zotero.org/styles/acm-sig-proceedings-long-author-list</id>
+    <link href="http://www.zotero.org/styles/acm-sig-proceedings-long-author-list" rel="self"/>
+    <link href="http://www.acm.org/sigs/publications/proceedings-templates" rel="documentation"/>
+    <author>
+      <name>Naeem Esfahani</name>
+      <email>nesfaha2@gmu.edu</email>
+      <uri>http://mason.gmu.edu/~nesfaha2/</uri>
+    </author>
+    <contributor>
+      <name>Chris Horn</name>
+      <email>chris.horn@securedecisions.com</email>
+    </contributor>
+    <category citation-format="numeric"/>
+    <category field="science"/>
+    <category field="engineering"/>
+    <updated>2014-09-06T22:02:33+00:00</updated>
+    <rights license="http://creativecommons.org/licenses/by-sa/3.0/">This work is licensed under a Creative Commons Attribution-ShareAlike 3.0 License</rights>
+  </info>
+  <macro name="author">
+    <choose>
+      <if type="webpage">
+        <text variable="title" suffix=":"/>
+      </if>
+      <else>
+        <names variable="author">
+          <name form="long" and="text" sort-separator=", " initialize="false" delimiter-precedes-last="always" delimiter=", "/>
+          <label form="short" prefix=" "/>
+          <substitute>
+            <names variable="editor"/>
+            <names variable="translator"/>
+          </substitute>
+        </names>
+      </else>
+    </choose>
+  </macro>
+  <macro name="editor">
+    <names variable="editor">
+      <name initialize-with="." delimiter=", " and="text"/>
+      <label form="short" prefix=", "/>
+    </names>
+  </macro>
+  <citation collapse="citation-number">
+    <sort>
+      <key variable="citation-number"/>
+    </sort>
+    <layout prefix="[" suffix="]" delimiter=", ">
+      <text variable="citation-number"/>
+    </layout>
+  </citation>
+  <bibliography entry-spacing="0" second-field-align="flush" et-al-min="15" et-al-use-first="1">
+    <sort>
+      <key macro="author"/>
+      <key variable="title"/>
+    </sort>
+    <layout suffix=".">
+      <text variable="citation-number" prefix="[" suffix="] "/>
+      <text macro="author" suffix=", "/>
+      <date variable="issued" suffix=". ">
+        <date-part name="year"/>
+      </date>
+      <choose>
+        <if type="paper-conference">
+          <group delimiter=". ">
+            <text variable="title"/>
+            <group delimiter=" ">
+              <text variable="container-title" font-style="italic"/>
+              <group delimiter=", ">
+                <group delimiter=", " prefix="(" suffix=")">
+                  <text variable="publisher-place"/>
+                  <date variable="issued">
+                    <date-part name="month" form="short" suffix=" "/>
+                    <date-part name="year"/>
+                  </date>
+                </group>
+                <text variable="page"/>
+              </group>
+            </group>
+            <text variable="note"/>
+          </group>
+        </if>
+        <else-if type="article-journal">
+          <group delimiter=". ">
+            <text variable="title"/>
+            <text variable="container-title" font-style="italic"/>
+            <group delimiter=", ">
+              <text variable="volume"/>
+              <group delimiter=" ">
+                <text variable="issue"/>
+                <date variable="issued" prefix="(" suffix=")">
+                  <date-part name="month" form="short" suffix=" "/>
+                  <date-part name="year"/>
+                </date>
+              </group>
+              <text variable="page"/>
+            </group>
+            <text variable="note"/>
+          </group>
+        </else-if>
+        <else-if type="patent">
+          <group delimiter=". ">
+            <text variable="title"/>
+            <text variable="number"/>
+            <date variable="issued">
+              <date-part name="month" form="short" suffix=" "/>
+              <date-part name="day" suffix=", "/>
+              <date-part name="year"/>
+            </date>
+            <text variable="note"/>
+          </group>
+        </else-if>
+        <else-if type="thesis">
+          <group delimiter=". ">
+            <text variable="title" font-style="italic"/>
+            <text variable="archive_location" prefix="Doctoral Thesis #"/>
+            <text variable="publisher"/>
+            <text variable="note"/>
+          </group>
+        </else-if>
+        <else-if type="report">
+          <group delimiter=". ">
+            <text variable="title" font-style="italic"/>
+            <text variable="number" prefix="Technical Report #"/>
+            <text variable="publisher"/>
+            <text variable="note"/>
+          </group>
+        </else-if>
+        <else-if type="webpage">
+          <group delimiter=". ">
+            <text variable="URL" font-style="italic"/>
+            <date variable="accessed" prefix="Accessed: ">
+              <date-part name="year" suffix="-"/>
+              <date-part name="month" form="numeric-leading-zeros" suffix="-"/>
+              <date-part name="day" form="numeric-leading-zeros"/>
+            </date>
+            <text variable="note"/>
+          </group>
+        </else-if>
+        <else-if type="chapter paper-conference" match="any">
+          <group delimiter=". ">
+            <text variable="title"/>
+            <text variable="container-title" font-style="italic"/>
+            <text macro="editor"/>
+            <text variable="publisher"/>
+            <text variable="page"/>
+            <text variable="note"/>
+          </group>
+        </else-if>
+        <else-if type="bill book graphic legal_case legislation motion_picture report song" match="any">
+          <group delimiter=". ">
+            <text variable="title" font-style="italic"/>
+            <text variable="publisher"/>
+            <text variable="note"/>
+          </group>
+        </else-if>
+        <else>
+          <group delimiter=". ">
+            <text variable="title"/>
+            <text variable="container-title" font-style="italic"/>
+            <text variable="publisher"/>
+            <text variable="note"/>
+          </group>
+        </else>
+      </choose>
+    </layout>
+  </bibliography>
+</style>
diff --git a/apa-eu.csl b/apa-eu.csl
new file mode 100644
index 0000000..b08b846
--- /dev/null
+++ b/apa-eu.csl
@@ -0,0 +1,1584 @@
+<?xml version="1.0" encoding="utf-8"?>
+<style xmlns="http://purl.org/net/xbiblio/csl" class="in-text" version="1.0" demote-non-dropping-particle="never" page-range-format="expanded">
+  <info>
+    <title>American Psychological Association 7th edition (Basque/Euskara)</title>
+    <title-short>APA</title-short>
+    <id>http://www.zotero.org/styles/apa-eu</id>
+    <link href="http://www.zotero.org/styles/apa-eu" rel="self"/>
+    <link href="http://www.zotero.org/styles/apa" rel="template"/>
+    <link href="https://apastyle.apa.org/style-grammar-guidelines/references/examples" rel="documentation"/>
+    <author>
+      <name>Brenton M. Wiernik</name>
+      <email>zotero@wiernik.org</email>
+    </author>
+    <contributor>
+      <name>Miren Berasategi Zeberio</name>
+      <email>mail@miren.bz</email>
+    </contributor>
+    <category citation-format="author-date"/>
+    <category field="psychology"/>
+    <category field="generic-base"/>
+    <updated>2022-01-31T14:30:00+00:00</updated>
+    <rights license="http://creativecommons.org/licenses/by-sa/3.0/">This work is licensed under a Creative Commons Attribution-ShareAlike 3.0 License</rights>
+  </info>
+  <!-- Modifications with respect to 'basic' apa.csl:
+       - date-bib macro: fixed month prefix and added suffix
+       - citation-locator, container-periodical & volume-booklike macros: reversed variable and label for page no.s, added correct delimiter
+       - replaced all instances of and="symbol" with and="text" and changed/added delimiter-precedes-last="never" when necessary
+  -->
+  <!-- General categories of item types:
+       Periodical: article-journal article-magazine article-newspaper post-weblog review review-book
+       Periodical or Booklike: paper-conference
+       Booklike: article book broadcast chapter classic collection dataset document
+                 entry entry-dictionary entry-encyclopedia event figure
+                 graphic interview manuscript map motion_picture musical_score pamphlet patent
+                 performance periodical personal_communication post report
+                 software song speech standard thesis webpage
+       Legal: bill hearing legal_case legislation regulation treaty
+  -->
+  <!-- APA references contain four parts: author, date, title, source -->
+  <macro name="author-bib">
+    <names variable="composer" delimiter=", ">
+      <name name-as-sort-order="all" and="text" sort-separator=", " initialize-with=". " delimiter=", " delimiter-precedes-last="never"/>
+      <substitute>
+        <names variable="author"/>
+        <names variable="illustrator"/>
+        <names variable="director">
+          <name name-as-sort-order="all" and="text" sort-separator=", " initialize-with=". " delimiter=", " delimiter-precedes-last="never"/>
+          <label form="long" prefix=" (" suffix=")" text-case="title"/>
+        </names>
+        <choose>
+          <if variable="container-title">
+            <choose>
+              <if type="book entry entry-dictionary entry-encyclopedia" match="any">
+                <choose>
+                  <if variable="title">
+                    <group delimiter=" ">
+                      <text macro="title"/>
+                      <text macro="parenthetical"/>
+                    </group>
+                  </if>
+                  <else>
+                    <text macro="title-and-descriptions"/>
+                  </else>
+                </choose>
+              </if>
+            </choose>
+          </if>
+        </choose>
+        <!-- Test for editortranslator and put that first as that becomes available -->
+        <names variable="editor" delimiter=", ">
+          <name name-as-sort-order="all" and="text" sort-separator=", " initialize-with=". " delimiter=", " delimiter-precedes-last="never"/>
+          <label form="short" prefix=" (" suffix=")" text-case="title"/>
+        </names>
+        <names variable="editorial-director">
+          <name name-as-sort-order="all" and="text" sort-separator=", " initialize-with=". " delimiter=", " delimiter-precedes-last="never"/>
+          <label form="short" prefix=" (" suffix=")" text-case="title"/>
+        </names>
+        <names variable="collection-editor">
+          <name name-as-sort-order="all" and="text" sort-separator=", " initialize-with=". " delimiter=", " delimiter-precedes-last="never"/>
+          <label form="short" prefix=" (" suffix=")" text-case="title"/>
+        </names>
+        <choose>
+          <if variable="title">
+            <group delimiter=" ">
+              <text macro="title"/>
+              <text macro="parenthetical"/>
+            </group>
+          </if>
+          <else>
+            <text macro="title-and-descriptions"/>
+          </else>
+        </choose>
+      </substitute>
+    </names>
+  </macro>
+  <macro name="author-intext">
+    <choose>
+      <if type="bill legal_case legislation treaty" match="any">
+        <text macro="title-intext"/>
+      </if>
+      <else-if type="interview personal_communication" match="any">
+        <choose>
+          <!-- These variables indicate that the letter is retrievable by the reader.
+                If not, then use the APA in-text-only personal communication format -->
+          <if variable="archive container-title DOI publisher URL" match="none">
+            <group delimiter=", ">
+              <names variable="author">
+                <name and="text" delimiter=", " initialize-with=". "/>
+                <substitute>
+                  <text macro="title-intext"/>
+                </substitute>
+              </names>
+              <text term="personal-communication"/>
+            </group>
+          </if>
+          <else>
+            <names variable="author" delimiter=", ">
+              <name form="short" and="text" delimiter=", " initialize-with=". "/>
+              <substitute>
+                <text macro="title-intext"/>
+              </substitute>
+            </names>
+          </else>
+        </choose>
+      </else-if>
+      <else>
+        <names variable="composer" delimiter=", ">
+          <name form="short" and="text" delimiter=", " initialize-with=". "/>
+          <substitute>
+            <names variable="author"/>
+            <names variable="illustrator"/>
+            <names variable="director"/>
+            <choose>
+              <if variable="container-title">
+                <choose>
+                  <if type="book entry entry-dictionary entry-encyclopedia" match="any">
+                    <text macro="title-intext"/>
+                  </if>
+                </choose>
+              </if>
+            </choose>
+            <names variable="editor"/>
+            <names variable="editorial-director"/>
+            <text macro="title-intext"/>
+          </substitute>
+        </names>
+      </else>
+    </choose>
+  </macro>
+  <macro name="date-bib">
+    <group delimiter=" " prefix="(" suffix=")">
+      <choose>
+        <if is-uncertain-date="issued">
+          <text term="circa" form="short"/>
+        </if>
+      </choose>
+      <group>
+        <choose>
+          <if variable="issued">
+            <date variable="issued">
+              <date-part name="year"/>
+            </date>
+            <text variable="year-suffix"/>
+            <choose>
+              <if type="article-magazine article-newspaper broadcast interview motion_picture pamphlet personal_communication post post-weblog song speech webpage" match="any">
+                <!-- Many video and audio examples in manual give full dates. Err on the side of too much information. -->
+                <date variable="issued">
+                  <date-part prefix="(e)ko " name="month" suffix="k"/>
+                  <date-part prefix=" " name="day"/>
+                </date>
+              </if>
+              <else-if type="paper-conference">
+                <!-- Capture 'speech' stored as 'paper-conference' -->
+                <choose>
+                  <if variable="collection-editor editor editorial-director issue page volume" match="none">
+                    <date variable="issued">
+                      <date-part prefix="(e)ko " name="month" suffix="k"/>
+                      <date-part prefix=" " name="day"/>
+                    </date>
+                  </if>
+                </choose>
+              </else-if>
+              <!-- Only year: article article-journal book chapter entry entry-dictionary entry-encyclopedia dataset figure graphic
+                   manuscript map musical_score paper-conference[published] patent report review review-book thesis -->
+            </choose>
+          </if>
+          <else-if variable="status">
+            <group>
+              <text variable="status" text-case="lowercase"/>
+              <text variable="year-suffix" prefix="-"/>
+            </group>
+          </else-if>
+          <else>
+            <text term="no date" form="short"/>
+            <text variable="year-suffix" prefix="-"/>
+          </else>
+        </choose>
+      </group>
+    </group>
+  </macro>
+  <macro name="date-sort-group">
+    <!-- APA sorts 1. no-date items, 2. items with dates, 3. in-press (status) items -->
+    <choose>
+      <if variable="issued">
+        <text value="1"/>
+      </if>
+      <else-if variable="status">
+        <text value="2"/>
+      </else-if>
+      <else>
+        <text value="0"/>
+      </else>
+    </choose>
+  </macro>
+  <macro name="date-sort-date">
+    <date variable="issued" form="numeric"/>
+  </macro>
+  <macro name="date-intext">
+    <choose>
+      <if variable="issued">
+        <group delimiter="/">
+          <group delimiter=" ">
+            <choose>
+              <if is-uncertain-date="original-date">
+                <text term="circa" form="short"/>
+              </if>
+            </choose>
+            <date variable="original-date">
+              <date-part name="year"/>
+            </date>
+          </group>
+          <group delimiter=" ">
+            <choose>
+              <if is-uncertain-date="issued">
+                <text term="circa" form="short"/>
+              </if>
+            </choose>
+            <group>
+              <choose>
+                <if type="interview personal_communication" match="any">
+                  <choose>
+                    <if variable="archive container-title DOI publisher URL" match="none">
+                      <!-- These variables indicate that the communication is retrievable by the reader.
+                           If not, then use the in-text-only personal communication format -->
+                      <date variable="issued" form="text"/>
+                    </if>
+                    <else>
+                      <date variable="issued">
+                        <date-part name="year"/>
+                      </date>
+                    </else>
+                  </choose>
+                </if>
+                <else>
+                  <date variable="issued">
+                    <date-part name="year"/>
+                  </date>
+                </else>
+              </choose>
+              <text variable="year-suffix"/>
+            </group>
+          </group>
+        </group>
+      </if>
+      <else-if variable="status">
+        <text variable="status" text-case="lowercase"/>
+        <text variable="year-suffix" prefix="-"/>
+      </else-if>
+      <else>
+        <text term="no date" form="short"/>
+        <text variable="year-suffix" prefix="-"/>
+      </else>
+    </choose>
+  </macro>
+  <!-- APA has two description elements following the title:
+       title (parenthetical) [bracketed]  -->
+  <macro name="title-and-descriptions">
+    <choose>
+      <if variable="title">
+        <group delimiter=" ">
+          <text macro="title"/>
+          <text macro="parenthetical"/>
+          <text macro="bracketed"/>
+        </group>
+      </if>
+      <else>
+        <group delimiter=" ">
+          <text macro="bracketed"/>
+          <text macro="parenthetical"/>
+        </group>
+      </else>
+    </choose>
+  </macro>
+  <macro name="title">
+    <choose>
+      <if type="post webpage" match="any">
+        <!-- Webpages are always italicized -->
+        <text variable="title" font-style="italic"/>
+      </if>
+      <else-if variable="container-title" match="any">
+        <!-- Other types are italicized based on presence of container-title.
+             Assume that review and review-book are published in periodicals/blogs,
+             not just on a web page (ex. 69) -->
+        <text variable="title"/>
+      </else-if>
+      <else>
+        <choose>
+          <if type="article-journal article-magazine article-newspaper post-weblog review review-book" match="any">
+            <text variable="title" font-style="italic"/>
+          </if>
+          <else-if type="paper-conference">
+            <choose>
+              <if variable="collection-editor editor editorial-director" match="any">
+                <group delimiter=": " font-style="italic">
+                  <text variable="title"/>
+                  <!-- Replace with volume-title as that becomes available -->
+                  <choose>
+                    <if is-numeric="volume" match="none">
+                      <group delimiter=" ">
+                        <label variable="volume" form="short" text-case="capitalize-first"/>
+                        <text variable="volume"/>
+                      </group>
+                    </if>
+                  </choose>
+                </group>
+              </if>
+              <else>
+                <text variable="title" font-style="italic"/>
+              </else>
+            </choose>
+          </else-if>
+          <else>
+            <group delimiter=": " font-style="italic">
+              <text variable="title"/>
+              <!-- Replace with volume-title as that becomes available -->
+              <choose>
+                <if is-numeric="volume" match="none">
+                  <group delimiter=" ">
+                    <label variable="volume" form="short" text-case="capitalize-first"/>
+                    <text variable="volume"/>
+                  </group>
+                </if>
+              </choose>
+            </group>
+          </else>
+        </choose>
+      </else>
+    </choose>
+  </macro>
+  <macro name="title-intext">
+    <choose>
+      <if variable="title" match="none">
+        <text macro="bracketed-intext" prefix="[" suffix="]"/>
+      </if>
+      <else-if type="hearing">
+        <!-- Hearings are italicized -->
+        <text variable="title" form="short" font-style="italic" text-case="title"/>
+      </else-if>
+      <else-if type="bill">
+        <!-- Bills are not italicized and substitute bill number if no title. -->
+        <choose>
+          <if variable="title">
+            <text variable="title" form="short" text-case="title"/>
+          </if>
+          <else>
+            <group delimiter=" ">
+              <text variable="genre"/>
+              <group delimiter=" ">
+                <choose>
+                  <if variable="chapter-number container-title" match="none">
+                    <label variable="number" form="short"/>
+                  </if>
+                </choose>
+                <text variable="number"/>
+              </group>
+            </group>
+          </else>
+        </choose>
+      </else-if>
+      <else-if type="legal_case" match="any">
+        <!-- Cases are italicized -->
+        <text variable="title" font-style="italic"/>
+      </else-if>
+      <else-if type="legislation treaty" match="any">
+        <!-- Legislation and treaties not italicized or quoted -->
+        <text variable="title" form="short" text-case="title"/>
+      </else-if>
+      <else-if type="post webpage" match="any">
+        <!-- Webpages are always italicized -->
+        <text variable="title" form="short" font-style="italic" text-case="title"/>
+      </else-if>
+      <else-if variable="container-title" match="any">
+        <!-- Other types are italicized or quoted based on presence of container-title. As in title macro. -->
+        <text variable="title" form="short" quotes="true" text-case="title"/>
+      </else-if>
+      <else>
+        <text variable="title" form="short" font-style="italic" text-case="title"/>
+      </else>
+    </choose>
+  </macro>
+  <macro name="parenthetical">
+    <!-- (Secondary contributors; Database location; Genre no. 123; Report Series 123, Version, Edition, Volume, Page) -->
+    <group prefix="(" suffix=")">
+      <choose>
+        <if type="patent">
+          <!-- authority: U.S. ; genre: patent ; number: 123,445 -->
+          <group delimiter=" ">
+            <text variable="authority" form="short"/>
+            <choose>
+              <if variable="genre">
+                <text variable="genre" text-case="capitalize-first"/>
+              </if>
+              <else>
+                <text term="patent" text-case="capitalize-first"/>
+              </else>
+            </choose>
+            <group delimiter=" ">
+              <label variable="number" form="short" text-case="capitalize-first"/>
+              <text variable="number"/>
+            </group>
+          </group>
+        </if>
+        <else-if type="post webpage" match="any">
+          <!-- For post webpage, container-title is treated as publisher -->
+          <group delimiter="; ">
+            <text macro="secondary-contributors"/>
+            <text macro="database-location"/>
+            <text macro="number"/>
+            <text macro="locators-booklike"/>
+          </group>
+        </else-if>
+        <else-if variable="container-title">
+          <group delimiter="; ">
+            <text macro="secondary-contributors"/>
+            <choose>
+              <if type="broadcast graphic map motion_picture song" match="any">
+                <!-- For audiovisual media, number information comes after title, not container-title -->
+                <text macro="number"/>
+              </if>
+            </choose>
+          </group>
+        </else-if>
+        <else>
+          <group delimiter="; ">
+            <text macro="secondary-contributors"/>
+            <text macro="database-location"/>
+            <text macro="number"/>
+            <text macro="locators-booklike"/>
+          </group>
+        </else>
+      </choose>
+    </group>
+  </macro>
+  <macro name="parenthetical-container">
+    <choose>
+      <if variable="container-title" match="any">
+        <group prefix="(" suffix=")">
+          <group delimiter="; ">
+            <text macro="database-location"/>
+            <choose>
+              <if type="broadcast graphic map motion_picture song" match="none">
+                <!-- For audiovisual media, number information comes after title, not container-title -->
+                <text macro="number"/>
+              </if>
+            </choose>
+            <text macro="locators-booklike"/>
+          </group>
+        </group>
+      </if>
+    </choose>
+  </macro>
+  <macro name="bracketed">
+    <!-- [Descriptive information] -->
+    <!-- If there is a number, genre is already printed in macro="number" -->
+    <group prefix="[" suffix="]">
+      <choose>
+        <if variable="reviewed-author reviewed-title" type="review review-book" match="any">
+          <!-- Reviewed item -->
+          <group delimiter="; ">
+            <group delimiter=", ">
+              <group delimiter=" ">
+                <!-- Assume that genre is entered as 'Review of the book' or similar -->
+                <choose>
+                  <if variable="number" match="none">
+                    <choose>
+                      <if variable="genre">
+                        <text variable="genre" text-case="capitalize-first"/>
+                      </if>
+                      <else-if variable="medium">
+                        <text variable="medium" text-case="capitalize-first"/>
+                      </else-if>
+                      <else>
+                        <!-- Replace with term="review" as that becomes available -->
+                        <text value="Review of"/>
+                      </else>
+                    </choose>
+                  </if>
+                  <else>
+                    <choose>
+                      <if variable="medium">
+                        <text variable="medium" text-case="capitalize-first"/>
+                      </if>
+                      <else>
+                        <!-- Replace with term="review" as that becomes available -->
+                        <text value="Review of"/>
+                      </else>
+                    </choose>
+                  </else>
+                </choose>
+                <text macro="reviewed-title"/>
+              </group>
+              <names variable="reviewed-author">
+                <label form="verb-short" suffix=" "/>
+                <name and="text" initialize-with=". " delimiter=", "/>
+              </names>
+            </group>
+            <choose>
+              <if variable="genre" match="any">
+                <choose>
+                  <if variable="number" match="none">
+                    <text variable="medium" text-case="capitalize-first"/>
+                  </if>
+                </choose>
+              </if>
+            </choose>
+          </group>
+        </if>
+        <else-if type="thesis">
+          <!-- Thesis type and institution -->
+          <group delimiter="; ">
+            <choose>
+              <if variable="number" match="none">
+                <group delimiter=", ">
+                  <text variable="genre" text-case="capitalize-first"/>
+                  <choose>
+                    <if variable="archive DOI URL" match="any">
+                      <!-- Include the university in brackets if thesis is published -->
+                      <text variable="publisher"/>
+                    </if>
+                  </choose>
+                </group>
+              </if>
+            </choose>
+            <text variable="medium" text-case="capitalize-first"/>
+          </group>
+        </else-if>
+        <else-if variable="interviewer" type="interview" match="any">
+          <!-- Interview information -->
+          <choose>
+            <if variable="title">
+              <text macro="format"/>
+            </if>
+            <else-if variable="genre">
+              <group delimiter="; ">
+                <group delimiter=" ">
+                  <text variable="genre" text-case="capitalize-first"/>
+                  <group delimiter=" ">
+                    <text term="author" form="verb"/>
+                    <names variable="interviewer">
+                      <name and="text" initialize-with=". " delimiter=", "/>
+                    </names>
+                  </group>
+                </group>
+              </group>
+            </else-if>
+            <else-if variable="interviewer">
+              <group delimiter="; ">
+                <names variable="interviewer">
+                  <label form="verb" suffix=" " text-case="capitalize-first"/>
+                  <name and="text" initialize-with=". " delimiter=", "/>
+                </names>
+                <text variable="medium" text-case="capitalize-first"/>
+              </group>
+            </else-if>
+            <else>
+              <text macro="format"/>
+            </else>
+          </choose>
+        </else-if>
+        <else-if type="personal_communication">
+          <!-- Letter information -->
+          <choose>
+            <if variable="recipient">
+              <group delimiter="; ">
+                <group delimiter=" ">
+                  <choose>
+                    <if variable="number" match="none">
+                      <choose>
+                        <if variable="genre">
+                          <text variable="genre" text-case="capitalize-first"/>
+                        </if>
+                        <else-if variable="medium">
+                          <text variable="medium" text-case="capitalize-first"/>
+                        </else-if>
+                        <else>
+                          <text term="letter" text-case="capitalize-first"/>
+                        </else>
+                      </choose>
+                    </if>
+                    <else>
+                      <choose>
+                        <if variable="medium">
+                          <text variable="medium" text-case="capitalize-first"/>
+                        </if>
+                        <else>
+                          <text term="letter" text-case="capitalize-first"/>
+                        </else>
+                      </choose>
+                    </else>
+                  </choose>
+                  <names variable="recipient" delimiter=", ">
+                    <label form="verb" suffix=" "/>
+                    <name and="text" delimiter=", "/>
+                  </names>
+                </group>
+                <choose>
+                  <if variable="genre" match="any">
+                    <choose>
+                      <if variable="number" match="none">
+                        <text variable="medium" text-case="capitalize-first"/>
+                      </if>
+                    </choose>
+                  </if>
+                </choose>
+              </group>
+            </if>
+            <else>
+              <text macro="format"/>
+            </else>
+          </choose>
+        </else-if>
+        <else-if variable="composer" type="song" match="all">
+          <!-- Performer of classical music works -->
+          <group delimiter="; ">
+            <choose>
+              <if variable="number" match="none">
+                <group delimiter=" ">
+                  <choose>
+                    <if variable="genre">
+                      <text variable="genre" text-case="capitalize-first"/>
+                      <!-- Replace prefix with performer label as that becomes available -->
+                      <names variable="author" prefix="recorded by ">
+                        <name and="text" initialize-with=". " delimiter=", "/>
+                      </names>
+                    </if>
+                    <else-if variable="medium">
+                      <text variable="medium" text-case="capitalize-first"/>
+                      <!-- Replace prefix with performer label as that becomes available -->
+                      <names variable="author" prefix="recorded by ">
+                        <name and="text" initialize-with=". " delimiter=", "/>
+                      </names>
+                    </else-if>
+                    <else>
+                      <!-- Replace prefix with performer label as that becomes available -->
+                      <names variable="author" prefix="Recorded by ">
+                        <name and="text" initialize-with=". " delimiter=", "/>
+                      </names>
+                    </else>
+                  </choose>
+                </group>
+              </if>
+              <else>
+                <group delimiter=" ">
+                  <choose>
+                    <if variable="medium">
+                      <text variable="medium" text-case="capitalize-first"/>
+                      <!-- Replace prefix with performer label as that becomes available -->
+                      <names variable="author" prefix="recorded by ">
+                        <name and="text" initialize-with=". " delimiter=", "/>
+                      </names>
+                    </if>
+                    <else>
+                      <!-- Replace prefix with performer label as that becomes available -->
+                      <names variable="author" prefix="Recorded by ">
+                        <name and="text" initialize-with=". " delimiter=", "/>
+                      </names>
+                    </else>
+                  </choose>
+                </group>
+              </else>
+            </choose>
+            <choose>
+              <if variable="genre" match="any">
+                <choose>
+                  <if variable="number" match="none">
+                    <text variable="medium" text-case="capitalize-first"/>
+                  </if>
+                </choose>
+              </if>
+            </choose>
+          </group>
+        </else-if>
+        <else-if variable="container-title" match="none">
+          <!-- Other description -->
+          <text macro="format"/>
+        </else-if>
+        <else>
+          <!-- For conference presentations, chapters in reports, software, place bracketed after the container title -->
+          <choose>
+            <if type="paper-conference speech" match="any">
+              <choose>
+                <if variable="collection-editor editor editorial-director issue page volume" match="any">
+                  <text macro="format"/>
+                </if>
+              </choose>
+            </if>
+            <else-if type="report software" match="none">
+              <text macro="format"/>
+            </else-if>
+          </choose>
+        </else>
+      </choose>
+    </group>
+  </macro>
+  <macro name="bracketed-intext">
+    <group prefix="[" suffix="]">
+      <choose>
+        <if variable="reviewed-author reviewed-title" type="review review-book" match="any">
+          <group delimiter=" ">
+            <text term="review-of" text-case="capitalize-first"/>
+            <text macro="reviewed-title-intext"/>
+          </group>
+        </if>
+        <else-if variable="interviewer" type="interview" match="any">
+          <names variable="interviewer">
+            <label form="verb" suffix=" " text-case="capitalize-first"/>
+            <name and="text" initialize-with=". " delimiter=", "/>
+            <substitute>
+              <text macro="format-intext"/>
+            </substitute>
+          </names>
+        </else-if>
+        <else-if type="personal_communication">
+          <!-- Letter information -->
+          <choose>
+            <if variable="recipient">
+              <group delimiter=" ">
+                <choose>
+                  <if variable="number" match="none">
+                    <text variable="genre" text-case="capitalize-first"/>
+                  </if>
+                  <else>
+                    <text term="letter" text-case="capitalize-first"/>
+                  </else>
+                </choose>
+                <names variable="recipient" delimiter=", ">
+                  <label form="verb" suffix=" "/>
+                  <name and="text" delimiter=", "/>
+                </names>
+              </group>
+            </if>
+            <else>
+              <text macro="format-intext"/>
+            </else>
+          </choose>
+        </else-if>
+        <else>
+          <text macro="format-intext"/>
+        </else>
+      </choose>
+    </group>
+  </macro>
+  <macro name="bracketed-container">
+    <group prefix="[" suffix="]">
+      <choose>
+        <if type="paper-conference speech" match="any">
+          <!-- Conference presentations should describe the session [container] in bracketed unless published in a proceedings -->
+          <choose>
+            <if variable="collection-editor editor editorial-director issue page volume" match="none">
+              <text macro="format"/>
+            </if>
+          </choose>
+        </if>
+        <else-if type="software" match="all">
+          <!-- For entries in mobile app reference works, place bracketed after the container-title -->
+          <text macro="format"/>
+        </else-if>
+        <else-if type="report">
+          <!-- For chapters in reports, place bracketed after the container title -->
+          <text macro="format"/>
+        </else-if>
+      </choose>
+    </group>
+  </macro>
+  <macro name="secondary-contributors">
+    <choose>
+      <if type="article-journal article-magazine article-newspaper post-weblog review review-book" match="any">
+        <text macro="secondary-contributors-periodical"/>
+      </if>
+      <else-if type="paper-conference">
+        <choose>
+          <if variable="collection-editor editor editorial-director" match="any">
+            <text macro="secondary-contributors-booklike"/>
+          </if>
+          <else>
+            <text macro="secondary-contributors-periodical"/>
+          </else>
+        </choose>
+      </else-if>
+      <else>
+        <text macro="secondary-contributors-booklike"/>
+      </else>
+    </choose>
+  </macro>
+  <macro name="secondary-contributors-periodical">
+    <group delimiter="; ">
+      <choose>
+        <if variable="title">
+          <names variable="interviewer" delimiter="; ">
+            <name and="text" initialize-with=". " delimiter=", "/>
+            <label form="short" prefix=", " text-case="title"/>
+          </names>
+        </if>
+      </choose>
+      <names variable="translator" delimiter="; ">
+        <name and="text" initialize-with=". " delimiter=", "/>
+        <label form="short" prefix=", " text-case="title"/>
+      </names>
+    </group>
+  </macro>
+  <macro name="secondary-contributors-booklike">
+    <group delimiter="; ">
+      <choose>
+        <if variable="title">
+          <names variable="interviewer">
+            <name and="text" initialize-with=". " delimiter=", "/>
+            <label form="short" prefix=", " text-case="title"/>
+          </names>
+        </if>
+      </choose>
+      <!-- When editortranslator becomes available, add a test: variable="editortranslator" match="none"; then print translator -->
+      <choose>
+        <if type="post webpage" match="none">
+          <!-- Webpages treat container-title like publisher -->
+          <choose>
+            <if variable="container-title" match="none">
+              <group delimiter="; ">
+                <names variable="container-author">
+                  <label form="verb-short" suffix=" " text-case="title"/>
+                  <name and="text" initialize-with=". " delimiter=", "/>
+                </names>
+                <names variable="editor translator" delimiter="; ">
+                  <name and="text" initialize-with=". " delimiter=", "/>
+                  <label form="short" prefix=", " text-case="title"/>
+                </names>
+              </group>
+            </if>
+          </choose>
+        </if>
+        <else>
+          <group delimiter="; ">
+            <names variable="container-author">
+              <label form="verb-short" suffix=" " text-case="title"/>
+              <name and="text" initialize-with=". " delimiter=", "/>
+            </names>
+            <names variable="editor translator" delimiter="; ">
+              <name and="text" initialize-with=". " delimiter=", "/>
+              <label form="short" prefix=", " text-case="title"/>
+            </names>
+          </group>
+        </else>
+      </choose>
+    </group>
+  </macro>
+  <macro name="database-location">
+    <choose>
+      <if variable="archive-place" match="none">
+        <!-- With `archive-place`: physical archives. Without: online archives. -->
+        <!-- Add archive_collection as that becomes available -->
+        <text variable="archive_location"/>
+      </if>
+    </choose>
+  </macro>
+  <macro name="number">
+    <choose>
+      <if variable="number">
+        <group delimiter=", ">
+          <group delimiter=" ">
+            <text variable="genre" text-case="title"/>
+            <choose>
+              <if is-numeric="number">
+                <label variable="number" form="short" text-case="capitalize-first"/>
+                <text variable="number"/>
+              </if>
+              <else>
+                <text variable="number"/>
+              </else>
+            </choose>
+          </group>
+          <choose>
+            <if type="thesis">
+              <choose>
+                <!-- Include the university in brackets if thesis is published -->
+                <if variable="archive DOI URL" match="any">
+                  <text variable="publisher"/>
+                </if>
+              </choose>
+            </if>
+          </choose>
+        </group>
+      </if>
+    </choose>
+  </macro>
+  <macro name="locators-booklike">
+    <choose>
+      <if type="article-journal article-magazine article-newspaper broadcast interview patent post post-weblog review review-book speech webpage" match="any"/>
+      <else-if type="paper-conference">
+        <choose>
+          <if variable="collection-editor editor editorial-director" match="any">
+            <group delimiter=", ">
+              <text macro="version"/>
+              <text macro="edition"/>
+              <text macro="volume-booklike"/>
+            </group>
+          </if>
+        </choose>
+      </else-if>
+      <else>
+        <group delimiter=", ">
+          <text macro="version"/>
+          <text macro="edition"/>
+          <text macro="volume-booklike"/>
+        </group>
+      </else>
+    </choose>
+  </macro>
+  <macro name="version">
+    <choose>
+      <if is-numeric="version">
+        <group delimiter=" ">
+          <label variable="version" text-case="capitalize-first"/>
+          <text variable="version"/>
+        </group>
+      </if>
+      <else>
+        <text variable="version"/>
+      </else>
+    </choose>
+  </macro>
+  <macro name="edition">
+    <choose>
+      <if is-numeric="edition">
+        <group delimiter=" ">
+          <number variable="edition" form="ordinal"/>
+          <label variable="edition" form="short"/>
+        </group>
+      </if>
+      <else>
+        <text variable="edition"/>
+      </else>
+    </choose>
+  </macro>
+  <macro name="volume-booklike">
+    <group delimiter=", ">
+      <!-- Report series [ex. 52] -->
+      <choose>
+        <if type="report">
+          <group delimiter=" ">
+            <text variable="collection-title" text-case="title"/>
+            <text variable="collection-number"/>
+          </group>
+        </if>
+      </choose>
+      <choose>
+        <if variable="volume" match="any">
+          <choose>
+            <!-- Non-numeric volumes are already printed as part of the book title -->
+            <if is-numeric="volume" match="none"/>
+            <else>
+              <group delimiter=" ">
+                <label variable="volume" form="short" text-case="capitalize-first"/>
+                <number variable="volume" form="numeric"/>
+              </group>
+            </else>
+          </choose>
+        </if>
+        <else>
+          <group>
+            <label variable="number-of-volumes" form="short" text-case="capitalize-first" suffix=" "/>
+            <text term="page-range-delimiter" prefix="1"/>
+            <number variable="number-of-volumes" form="numeric"/>
+          </group>
+        </else>
+      </choose>
+      <group delimiter=" ">
+        <label variable="issue" text-case="capitalize-first"/>
+        <text variable="issue"/>
+      </group>
+      <group delimiter=". ">
+        <text variable="page"/>
+        <label variable="page" form="short" suffix=""/>
+      </group>
+    </group>
+  </macro>
+  <macro name="reviewed-title">
+    <choose>
+      <if variable="reviewed-title">
+        <!-- Not possible to distinguish TV series episode from other reviewed
+              works [Ex. 69] -->
+        <text variable="reviewed-title" font-style="italic"/>
+      </if>
+      <else>
+        <!-- Assume title is title of reviewed work -->
+        <text variable="title" font-style="italic"/>
+      </else>
+    </choose>
+  </macro>
+  <macro name="reviewed-title-intext">
+    <choose>
+      <if variable="reviewed-title">
+        <!-- Not possible to distinguish TV series episode from other reviewed works [Ex. 69] -->
+        <text variable="reviewed-title" form="short" font-style="italic" text-case="title"/>
+      </if>
+      <else>
+        <!-- Assume title is title of reviewed work -->
+        <text variable="title" form="short" font-style="italic" text-case="title"/>
+      </else>
+    </choose>
+  </macro>
+  <macro name="format">
+    <choose>
+      <if variable="genre medium" match="any">
+        <group delimiter="; ">
+          <choose>
+            <if variable="number" match="none">
+              <text variable="genre" text-case="capitalize-first"/>
+            </if>
+          </choose>
+          <text variable="medium" text-case="capitalize-first"/>
+        </group>
+      </if>
+      <!-- Generic labels for specific types -->
+      <else-if type="dataset">
+        <text term="dataset"/>
+      </else-if>
+      <else-if type="software">
+        <text term="software" text-case="capitalize-first"/>
+      </else-if>
+      <else-if type="interview personal_communication" match="any">
+        <choose>
+          <if variable="archive container-title DOI publisher URL" match="none">
+            <text term="personal-communication" text-case="capitalize-first"/>
+          </if>
+          <else-if type="interview">
+            <text term="interview" text-case="capitalize-first"/>
+          </else-if>
+        </choose>
+      </else-if>
+      <else-if type="map">
+        <text term="map" text-case="capitalize-first"/>
+      </else-if>
+    </choose>
+  </macro>
+  <macro name="format-intext">
+    <choose>
+      <if variable="genre" match="any">
+        <text variable="genre" text-case="capitalize-first"/>
+      </if>
+      <else-if variable="medium">
+        <text variable="medium" text-case="capitalize-first"/>
+      </else-if>
+      <!-- Generic labels for specific types -->
+      <else-if type="dataset">
+        <text term="dataset"/>
+      </else-if>
+      <else-if type="software">
+        <text term="software" text-case="capitalize-first"/>
+      </else-if>
+      <else-if type="interview personal_communication" match="any">
+        <choose>
+          <if variable="archive container-title DOI publisher URL" match="none">
+            <text term="personal-communication" text-case="capitalize-first"/>
+          </if>
+          <else-if type="interview">
+            <text term="interview" text-case="capitalize-first"/>
+          </else-if>
+        </choose>
+      </else-if>
+      <else-if type="map">
+        <text term="map"/>
+      </else-if>
+    </choose>
+  </macro>
+  <!-- APA 'source' element contains four parts:
+       container, event, publisher, access -->
+  <macro name="container">
+    <choose>
+      <if type="article-journal article-magazine article-newspaper post-weblog review review-book" match="any">
+        <!-- Periodical items -->
+        <text macro="container-periodical"/>
+      </if>
+      <else-if type="paper-conference">
+        <!-- Determine if paper-conference is a periodical or booklike -->
+        <choose>
+          <if variable="editor editorial-director collection-editor container-author" match="any">
+            <text macro="container-booklike"/>
+          </if>
+          <else>
+            <text macro="container-periodical"/>
+          </else>
+        </choose>
+      </else-if>
+      <else-if type="post webpage" match="none">
+        <!-- post and webpage treat container-title like publisher -->
+        <text macro="container-booklike"/>
+      </else-if>
+    </choose>
+  </macro>
+  <macro name="container-periodical">
+    <group delimiter=". ">
+      <group delimiter=", ">
+        <text variable="container-title" font-style="italic" text-case="title"/>
+        <choose>
+          <if variable="volume">
+            <group>
+              <text variable="volume" font-style="italic"/>
+              <text variable="issue" prefix="(" suffix=")"/>
+            </group>
+          </if>
+          <else>
+            <text variable="issue" font-style="italic"/>
+          </else>
+        </choose>
+        <choose>
+          <if variable="number">
+            <!-- Ex. 6: Journal article with article number or eLocator -->
+            <!-- This should be localized -->
+            <group delimiter=" ">
+              <text term="article-locator" text-case="capitalize-first"/>
+              <text variable="number"/>
+            </group>
+          </if>
+          <else>
+            <group delimiter=". ">
+              <text variable="page"/>
+              <label variable="page" form="short" suffix=""/>
+            </group>
+          </else>
+        </choose>
+      </group>
+      <choose>
+        <if variable="issued">
+          <choose>
+            <if variable="issue page volume" match="none">
+              <text variable="status" text-case="capitalize-first"/>
+            </if>
+          </choose>
+        </if>
+      </choose>
+    </group>
+  </macro>
+  <macro name="container-booklike">
+    <choose>
+      <if variable="container-title" match="any">
+        <group delimiter=" ">
+          <text term="in" text-case="capitalize-first"/>
+          <group delimiter=", ">
+            <names variable="editor translator" delimiter=" eta ">
+              <!-- Change to editortranslator and move editor to substitute as that becomes available -->
+              <name and="text" initialize-with=". " delimiter=", " delimiter-precedes-last="never"/>
+              <label form="short" text-case="title" prefix=" (" suffix=")"/>
+              <substitute>
+                <names variable="editorial-director"/>
+                <names variable="collection-editor"/>
+                <names variable="container-author"/>
+              </substitute>
+            </names>
+            <group delimiter=": " font-style="italic">
+              <text variable="container-title"/>
+              <!-- Replace with volume-title as that becomes available -->
+              <choose>
+                <if is-numeric="volume" match="none">
+                  <group delimiter=" ">
+                    <label variable="volume" form="short" text-case="capitalize-first"/>
+                    <text variable="volume"/>
+                  </group>
+                </if>
+              </choose>
+            </group>
+          </group>
+          <text macro="parenthetical-container"/>
+          <text macro="bracketed-container"/>
+        </group>
+      </if>
+    </choose>
+  </macro>
+  <macro name="publisher">
+    <group delimiter="; ">
+      <choose>
+        <if type="thesis">
+          <choose>
+            <if variable="archive DOI URL" match="none">
+              <text variable="publisher"/>
+            </if>
+          </choose>
+        </if>
+        <else-if type="post webpage" match="any">
+          <!-- For websites, treat container title like publisher -->
+          <group delimiter="; ">
+            <text variable="container-title" text-case="title"/>
+            <text variable="publisher"/>
+          </group>
+        </else-if>
+        <else-if type="paper-conference">
+          <!-- For paper-conference, don't print publisher if in a journal-like proceedings -->
+          <choose>
+            <if variable="collection-editor editor editorial-director" match="any">
+              <text variable="publisher"/>
+            </if>
+          </choose>
+        </else-if>
+        <else-if type="article-journal article-magazine article-newspaper post-weblog" match="none">
+          <text variable="publisher"/>
+        </else-if>
+      </choose>
+      <group delimiter=", ">
+        <choose>
+          <if variable="archive-place">
+            <!-- With `archive-place`: physical archives. Without: online archives. -->
+            <!-- For physical archives, print the location before the archive name.
+                For electronic archives, these are printed in macro="description". -->
+            <!-- Split "archive_location" into "archive_collection" and "archive_location" as that becomes available -->
+            <!-- Must test for archive_collection:
+                With collection: archive_collection (archive_location), archive, archive-place
+                No collection: archive (archive_location), archive-place
+            -->
+            <text variable="archive_location"/>
+          </if>
+        </choose>
+        <text variable="archive"/>
+        <text variable="archive-place"/>
+      </group>
+    </group>
+  </macro>
+  <macro name="access">
+    <choose>
+      <if variable="DOI" match="any">
+        <text variable="DOI" prefix="https://doi.org/"/>
+      </if>
+      <else-if variable="URL">
+        <group delimiter=" ">
+          <choose>
+            <if variable="issued status" match="none">
+              <group delimiter=" ">
+                <text term="retrieved" text-case="capitalize-first"/>
+                <date variable="accessed" form="text" suffix=","/>
+                <text term="from"/>
+              </group>
+            </if>
+          </choose>
+          <text variable="URL"/>
+        </group>
+      </else-if>
+    </choose>
+  </macro>
+  <macro name="event">
+    <choose>
+      <if variable="event event-title" match="any">
+        <!-- To prevent Zotero from printing event-place due to its double-mapping of all 'place' to
+             both publisher-place and event-place. Remove this 'choose' when that is changed. -->
+        <choose>
+          <if variable="collection-editor editor editorial-director issue page volume" match="none">
+            <!-- Don't print event info if published in a proceedings -->
+            <group delimiter=", ">
+              <text macro="event-title"/>
+              <text variable="event-place"/>
+            </group>
+          </if>
+        </choose>
+      </if>
+    </choose>
+  </macro>
+  <macro name="event-title">
+    <choose>
+      <!-- TODO: We expect "event-title" to be used,
+           but processors and applications may not be updated yet.
+           This macro ensures that either "event" or "event-title" can be accpeted.
+           Remove if procesor logic and application adoption can handle this. -->
+      <if variable="event-title">
+        <text variable="event-title"/>
+      </if>
+      <else>
+        <text variable="event"/>
+      </else>
+    </choose>
+  </macro>
+  <!-- After 'source', APA also prints publication history (original publication, reprint info, retraction info) -->
+  <macro name="publication-history">
+    <choose>
+      <if type="patent" match="none">
+        <group prefix="(" suffix=")">
+          <choose>
+            <if variable="references">
+              <!-- This provides the option for more elaborate description
+                   of publication history, such as full "reprinted" references
+                   (examples 11, 43, 44) or retracted references -->
+              <text variable="references"/>
+            </if>
+            <else>
+              <group delimiter=" ">
+                <text value="Original work published"/>
+                <choose>
+                  <if is-uncertain-date="original-date">
+                    <text term="circa" form="short"/>
+                  </if>
+                </choose>
+                <date variable="original-date">
+                  <date-part name="year"/>
+                </date>
+              </group>
+            </else>
+          </choose>
+        </group>
+      </if>
+      <else>
+        <text variable="references" prefix="(" suffix=")"/>
+      </else>
+    </choose>
+  </macro>
+  <!-- Legal citations have their own rules -->
+  <macro name="legal-cites">
+    <!-- TODO: Add new item types -->
+    <choose>
+      <if type="treaty">
+        <!-- APA generally defers to Bluebook for legal citations, but diverges without
+             explanation for treaty items. The Bluebook format that was used in APA 6th
+             ed. is used here. -->
+        <group delimiter=", ">
+          <text variable="title" text-case="title"/>
+          <names variable="author">
+            <name initialize-with="." form="short" delimiter="-"/>
+          </names>
+          <text macro="date-legal"/>
+          <text macro="container-legal"/>
+          <text macro="access"/>
+        </group>
+      </if>
+      <else>
+        <!-- For `bill`: currently designed to handle bills, resolutions, federal reports. -->
+        <!-- For `legislation`: currently designed to handle statutes, codified regulations, executive orders. -->
+        <group delimiter=". ">
+          <group delimiter=", ">
+            <choose>
+              <if type="bill legal_case legislation" match="any">
+                <text variable="title"/>
+              </if>
+              <else-if type="hearing">
+                <text variable="title" font-style="italic"/>
+              </else-if>
+            </choose>
+            <group delimiter=" ">
+              <text macro="container-legal"/>
+              <text macro="date-legal"/>
+              <choose>
+                <if type="hearing">
+                  <names variable="author" prefix="(testimony of " suffix=")">
+                    <!-- TODO: Localize this with the hearing term. -->
+                    <name and="symbol" delimiter=", "/>
+                  </names>
+                </if>
+                <else-if type="bill legislation" match="any">
+                  <!-- `legislation`: For uncodified regulations, assume future code section is in status. -->
+                  <text variable="status" prefix="(" suffix=")"/>
+                </else-if>
+              </choose>
+            </group>
+            <text variable="references"/>
+          </group>
+          <text macro="access"/>
+        </group>
+      </else>
+    </choose>
+  </macro>
+  <macro name="date-legal">
+    <choose>
+      <if type="legal_case">
+        <group prefix="(" suffix=")" delimiter=" ">
+          <text variable="authority"/>
+          <choose>
+            <if variable="container-title" match="any">
+              <!-- Print only year for cases published in reporters-->
+              <date variable="issued" form="numeric" date-parts="year"/>
+            </if>
+            <else>
+              <date variable="issued" form="text"/>
+            </else>
+          </choose>
+        </group>
+      </if>
+      <else-if type="bill legislation hearing" match="any">
+        <group prefix="(" suffix=")" delimiter=" ">
+          <group delimiter=" ">
+            <date variable="original-date">
+              <date-part name="year"/>
+            </date>
+            <text term="and" form="symbol"/>
+          </group>
+          <date variable="issued">
+            <date-part name="year"/>
+          </date>
+        </group>
+      </else-if>
+      <else-if type="treaty">
+        <date variable="issued" form="text"/>
+      </else-if>
+    </choose>
+  </macro>
+  <macro name="container-legal">
+    <!-- Expect legal item container-titles to be stored in short form -->
+    <choose>
+      <if type="legal_case">
+        <group delimiter=" ">
+          <choose>
+            <if variable="container-title">
+              <group delimiter=" ">
+                <text variable="volume"/>
+                <text variable="container-title"/>
+                <group delimiter=" ">
+                  <label variable="section" form="symbol"/>
+                  <text variable="section"/>
+                </group>
+                <choose>
+                  <if variable="page page-first" match="any">
+                    <text variable="page-first"/>
+                  </if>
+                  <else>
+                    <text value="___"/>
+                  </else>
+                </choose>
+              </group>
+            </if>
+            <else>
+              <group delimiter=" ">
+                <choose>
+                  <if is-numeric="number">
+                    <label variable="number" form="short" text-case="capitalize-first"/>
+                  </if>
+                </choose>
+                <text variable="number"/>
+              </group>
+            </else>
+          </choose>
+        </group>
+      </if>
+      <else-if type="bill">
+        <group delimiter=", ">
+          <group delimiter=" ">
+            <text variable="genre"/>
+            <group delimiter=" ">
+              <choose>
+                <if variable="chapter-number container-title" match="none">
+                  <label variable="number" form="short"/>
+                </if>
+              </choose>
+              <text variable="number"/>
+            </group>
+          </group>
+          <text variable="authority"/>
+          <text variable="chapter-number"/>
+          <group delimiter=" ">
+            <text variable="volume"/>
+            <text variable="container-title"/>
+            <text variable="page-first"/>
+          </group>
+        </group>
+      </else-if>
+      <else-if type="legislation">
+        <choose>
+          <if variable="number">
+            <!--There's a public law number-->
+            <group delimiter=", ">
+              <text variable="number" prefix="Pub. L. No. "/>
+              <group delimiter=" ">
+                <text variable="volume"/>
+                <text variable="container-title"/>
+                <text variable="page-first"/>
+              </group>
+            </group>
+          </if>
+          <else>
+            <group delimiter=" ">
+              <text variable="volume"/>
+              <text variable="container-title"/>
+              <choose>
+                <if variable="section">
+                  <group delimiter=" ">
+                    <label variable="section" form="symbol"/>
+                    <text variable="section"/>
+                  </group>
+                </if>
+                <else>
+                  <text variable="page-first"/>
+                </else>
+              </choose>
+            </group>
+          </else>
+        </choose>
+      </else-if>
+      <else-if type="treaty">
+        <group delimiter=" ">
+          <number variable="volume"/>
+          <text variable="container-title"/>
+          <choose>
+            <if variable="page page-first" match="any">
+              <text variable="page-first"/>
+            </if>
+            <else>
+              <group delimiter=" ">
+                <label variable="number" form="short" text-case="capitalize-first"/>
+                <text variable="number"/>
+              </group>
+            </else>
+          </choose>
+        </group>
+      </else-if>
+    </choose>
+  </macro>
+  <macro name="citation-locator">
+    <group delimiter=". ">
+      <text variable="locator"/>
+      <choose>
+        <if locator="chapter">
+          <label variable="locator" text-case="capitalize-first"/>
+        </if>
+        <else>
+          <label variable="locator" form="short"/>
+        </else>
+      </choose>
+    </group>
+  </macro>
+  <citation et-al-min="3" et-al-use-first="1" disambiguate-add-year-suffix="true" disambiguate-add-names="true" disambiguate-add-givenname="true" collapse="year" givenname-disambiguation-rule="primary-name-with-initials">
+    <sort>
+      <key macro="author-bib" names-min="3" names-use-first="1"/>
+      <key macro="date-sort-group"/>
+      <key macro="date-sort-date" sort="ascending"/>
+      <key variable="status"/>
+    </sort>
+    <layout prefix="(" suffix=")" delimiter="; ">
+      <group delimiter=", ">
+        <text macro="author-intext"/>
+        <text macro="date-intext"/>
+        <text macro="citation-locator"/>
+      </group>
+    </layout>
+  </citation>
+  <bibliography hanging-indent="true" et-al-min="21" et-al-use-first="19" et-al-use-last="true" entry-spacing="0" line-spacing="2">
+    <sort>
+      <key macro="author-bib"/>
+      <key macro="date-sort-group"/>
+      <key macro="date-sort-date" sort="ascending"/>
+      <key variable="status"/>
+      <key macro="title"/>
+    </sort>
+    <layout>
+      <choose>
+        <if type="bill legal_case legislation treaty" match="any">
+          <!-- Legal items have different orders and delimiters -->
+          <choose>
+            <if variable="DOI URL" match="any">
+              <text macro="legal-cites"/>
+            </if>
+            <else>
+              <text macro="legal-cites" suffix="."/>
+            </else>
+          </choose>
+        </if>
+        <else>
+          <group delimiter=" ">
+            <group delimiter=". " suffix=".">
+              <text macro="author-bib"/>
+              <text macro="date-bib"/>
+              <text macro="title-and-descriptions"/>
+              <text macro="container"/>
+              <text macro="event"/>
+              <text macro="publisher"/>
+            </group>
+            <text macro="access"/>
+            <text macro="publication-history"/>
+          </group>
+        </else>
+      </choose>
+    </layout>
+  </bibliography>
+</style>
diff --git a/blog-meta/lib/Misc.hs b/blog-meta/lib/Misc.hs
index 1b7d694..acf970d 100644
--- a/blog-meta/lib/Misc.hs
+++ b/blog-meta/lib/Misc.hs
@@ -52,5 +52,6 @@ inlineText _                 = Nothing
 blockText :: Block -> Maybe Text
 blockText (Plain is)       = foldMap inlineText is
 blockText (Para  is)       = foldMap inlineText is
+--blockText Null             = Just ""
 blockText (RawBlock _ txt) = Just txt
 blockText _                = Nothing
diff --git a/cabal.project b/cabal.project
index 13af715..1a4a526 100644
--- a/cabal.project
+++ b/cabal.project
@@ -1,19 +1,28 @@
 packages:
-  lang/**/*.cabal,
   ./blog-meta/blog-meta.cabal
 
 source-repository-package
-    type: git
-    location: https://git.rhiannon.website/rhi/filemanip.git
-    tag: 0edef8f7bbfe8e210f546e3222b735a32e6055e3
+  type: git
+  location: https://git.rhiannon.website/rhi/lang.git
+  tag: 275490551bc9729003040024e8a25d16c21d90ab
+  subdir: langfilter
+
+source-repository-package
+  type: git
+  location: https://git.rhiannon.website/rhi/lang.git
+  tag: 275490551bc9729003040024e8a25d16c21d90ab
+  subdir: laantas-script
+
+source-repository-package
+  type: git
+  location: https://git.rhiannon.website/rhi/filemanip.git
+  tag: 0edef8f7bbfe8e210f546e3222b735a32e6055e3
 
 source-repository-package
   type: git
   location: https://git.rhiannon.website/rhi/svg-builder
   tag: 1cbcd594d3009f9fd71f253b52ac82673bf5482e
 
-allow-newer:
-  svg-builder:base,
-  svg-builder:bytestring
+allow-newer: *
 
 constraints: pandoc-types == 1.23
diff --git a/chrismas.md b/chrismas.md
new file mode 100644
index 0000000..5115e74
--- /dev/null
+++ b/chrismas.md
@@ -0,0 +1,189 @@
+<!DOCTYPE html>
+<html>
+<meta charset=utf-8>
+
+<link rel=stylesheet href=/style/page.css>
+
+
+<title></title>
+
+
+<header>
+    <h1>merr chrismas</h1>
+    <div class=meta>
+        <h2 class=date>monday 25 december 2023</h2>
+            <nav class=tags>
+      tags:
+      <ul>
+                <li><a href=/tag-l_ntas.html>lántas</a>
+                <li><a href=/tag-conlangs.html>conlangs</a>
+              </ul>
+    </nav>
+      </div>
+  <hr>
+</header>
+
+
+<main>
+# just tell me how to say it please
+
+sure thing. here.
+
+```{=html}
+<figure class="glosses">
+```
+  ---------------------------------------------------------------------- ----------------------------------------------------
+  ![](chrismas/ufit_þulkussarim.svg "ufit þulkussarim"){.scr .laantas}   
+  ufit þulkussarim                                                       
+  \[ˌufit ˈθuɫkɔsːɐʑɪ̃\]                                                  
+  ufi--t                                                                 þulkus(i)--sa--ri--m
+  cozy--[GEN]{.abbr}                                                     midwinter--[AD]{.abbr}--[PRL]{.abbr}--[DEF]{.abbr}
+  (be) cozy during midwinter                                             
+  ---------------------------------------------------------------------- ----------------------------------------------------
+
+```{=html}
+</figure>
+```
+# details
+
+now i am not a huge fan of putting christianity into my conlang, which
+is hopefully understandable. but having a midwinter festival sounds
+cute. the days are finally getting longer! you made it through the worst
+part! and so on. so that's what this is. i think it probably takes place
+the day after the solstice, but with several days of festivities, so
+that there is still a little overlap with the *other* winter holiday.
+it's still appropriate to say it today.
+
+## seasons
+
+  time       name                                                                                pron.                              translation
+  ---------- --------------------------------------------------------------- ------------------- ---------------------------------- -------------
+  nov--jan   [![](chrismas/igisim.svg "igisim"){.scr .laantas}]{.lang}       [igisim]{.lang}     [\[ˈiʝɛsĩ\]]{.ipa .ipa-narrow}     the freeze
+  feb        [![](chrismas/susurum.svg "susurum"){.scr .laantas}]{.lang}     [susurum]{.lang}    [\[ˈsusʊrõ\]]{.ipa .ipa-narrow}    the melt
+  mar--may   [![](chrismas/šangubam.svg "šangubam"){.scr .laantas}]{.lang}   [šangubam]{.lang}   [\[ˈʃaŋɡɔvɑ̃\]]{.ipa .ipa-narrow}   the bloom
+  jun--aug   [![](chrismas/guwanḿ.svg "guwanḿ"){.scr .laantas}]{.lang}       [guwanḿ]{.lang}     [\[ˈɡɔwɑnm̩\]]{.ipa .ipa-narrow}    the sun
+  sep--oct   [![](chrismas/santum.svg "santum"){.scr .laantas}]{.lang}       [santum]{.lang}     [\[ˈsantõ\]]{.ipa .ipa-narrow}     the rain
+
+-   in between [![](chrismas/igisim.svg "igisim"){.scr
+    .laantas}[igisim]{.text}]{.lang} (winter) and
+    [![](chrismas/šangubam.svg "šangubam"){.scr
+    .laantas}[šangubam]{.text}]{.lang} (spring), the month of february
+    is considered a transition between the two,
+    [![](chrismas/susurum.svg "susurum"){.scr
+    .laantas}[susurum]{.text}]{.lang}.
+-   as a result, [![](chrismas/santum.svg "santum"){.scr
+    .laantas}[santum]{.text}]{.lang} (autumn) is only two months long.
+-   [![](chrismas/šangubam.svg "šangubam"){.scr
+    .laantas}[šangubam]{.text}]{.lang} comes from
+    [![](chrismas/šani.svg "šani"){.scr .laantas}[šani]{.text}]{.lang}
+    (flower) and [![](chrismas/guba.svg "guba"){.scr
+    .laantas}[guba]{.text}]{.lang} (grow, thrive).
+
+## putting it together
+
+the word "midwinter", without any inflections, is
+[![](chrismas/þulkusim.svg "þulkusim"){.scr
+.laantas}[þulkusim]{.text}]{.lang}, which comes from
+[![](chrismas/þulku.svg "þulku"){.scr .laantas}[þulku]{.text}]{.lang}
+"be deep" and [![](chrismas/igisim.svg "igisim"){.scr
+.laantas}[igisim]{.text}]{.lang}. unusually for lántas,
+[![](chrismas/þulku.svg "þulku"){.scr .laantas}[þulku]{.text}]{.lang} is
+a verb, rather than a noun. why? who knows.
+
+```{=html}
+<aside class='floating'>
+```
+on that page, where you see a [ƶ]{.lang}, replace it with [þ]{.lang}. i
+haven't got round to updating that yet. it also has the ugly text until
+i redraw [![](chrismas/č__ǧ_.svg "č ǧ"){.scr
+.laantas}[č ǧ]{.text}]{.lang}, since at least if it's all ugly it's
+consistent. sorry about that.
+
+```{=html}
+</aside>
+```
+the suffix [![](chrismas/–sari.svg "–sari"){.scr
+.laantas}[--sari]{.text}]{.lang} is actually a pair of two suffixes,
+which together mean through, or during. the details of the whole
+situation are
+[here](https://lang.niss.website/laantas/nouns.html#locational-cases),
+but it is a cool two-dimensional system based on a thing that can be
+found in some languages of the caucasus. the
+[![](chrismas/–m.svg "–m"){.scr .laantas}[--m]{.text}]{.lang} on the end
+(of all these words so far, actually) is "the". so the full form
+[![](chrismas/þulkusisarim.svg "þulkusisarim"){.scr
+.laantas}[þulkusisarim]{.text}]{.lang} means "during midwinter", and
+that one [i]{.lang} is dropped in this phrase to give the form
+[![](chrismas/þulkussarim.svg "þulkussarim"){.scr
+.laantas}[þulkussarim]{.text}]{.lang}.
+
+now, for [![](chrismas/ufit.svg "ufit"){.scr
+.laantas}[ufit]{.text}]{.lang}. there is a small, but technically
+non-zero, chance that you remember the word
+[![](chrismas/uf_a_t.svg "uf{a}t"){.scr
+.laantas}[uf`<u>`{=html}a`</u>`{=html}t]{.text}]{.lang} from
+[here](https://cohost.org/niss/post/3366713-ufat-iksaha), with the
+meaning of "warm". this is actually the same word, but a bit cutesy. it
+means cozy.
+
+the implied verb in this sentence is
+[![](chrismas/iksaha.svg "iksaha"){.scr
+.laantas}[iksaha]{.text}]{.lang}, like before. this is an auxiliary verb
+for requests. for example, if [![](chrismas/šikkúha.svg "šikkúha"){.scr
+.laantas}[šikkúha]{.text}]{.lang} means "you are going", then
+[![](chrismas/šikkúm_iksaha.svg "šikkúm iksaha"){.scr
+.laantas}[šikkúm iksaha]{.text}]{.lang} means "please go away". the
+[--ha]{.lang} here means "you" (singular). here it's dropped because the
+phrase is long enough already to be easily understood.
+
+so in the end, you get
+[![](chrismas/ufit_þulkussarim.svg "ufit þulkussarim"){.scr
+.laantas}[ufit þulkussarim]{.text}]{.lang}, meaning "\[stay\] cozy
+during the midwinter".
+
+::: twocol-grid
+![](images/crismas1.png){width="100%"}
+
+```{=html}
+<figure class="glosses left">
+```
+  ---------------------------------------------------------- ----
+  ![](chrismas/þugusim_ai.svg "þugusim ai"){.scr .laantas}   
+  þugusim ai                                                 
+  \[ˈθuɣɔsĩm‿ai\]                                            
+  þugusi--m                                                  ai
+  miwiner--[DEF]{.abbr}                                      be
+  it crismas                                                 
+  ---------------------------------------------------------- ----
+
+```{=html}
+</figure>
+```
+![](images/crismas2.png){width="100%"}
+
+```{=html}
+<figure class="glosses left">
+```
+  ------------------------------------------------------------------ ----------------------------------------
+  ![](chrismas/ufi_þugussarim.svg "ufi þugussarim"){.scr .laantas}   
+  ufi þugussarim                                                     
+  \[ˌufi ˈθuɣɔsːɐʑĩ\]                                                
+  ufi--(t)                                                           þugus(i)--sari--m
+  cozy--([GEN]{.abbr})                                               miwiner--[DURING]{.abbr}--[DEF]{.abbr}
+  merr crismas                                                       
+  ------------------------------------------------------------------ ----------------------------------------
+
+```{=html}
+</figure>
+```
+:::
+
+</main>
+
+
+<footer>
+  <hr>
+  <a href=/index.html>all posts</a> ·
+  <a href=/all-tags.html>all tags</a>
+</footer>
+
diff --git a/images/crismas1.png b/images/crismas1.png
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diff --git a/lang b/lang
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-Subproject commit f6d10672d2c621a9b812142289124e72b869d265
diff --git a/posts-wip/2023-06-05-quox.md b/posts-wip/2023-06-05-quox.md
new file mode 100644
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+++ b/posts-wip/2023-06-05-quox.md
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+---
+title: intro to quox
+date: 2023-06-05
+tags: [computer, quox (language)]
+show-toc: true
+bibliography: quox.bib
+link-citations: true
+...
+
+<figure class='shaped floating' style='shape-outside: url(/images/quox.png)'
+        aria-label=''>
+  <img src=/images/quox.png
+       alt='quox sprite from quest of ki'
+       title='quox sprite from quest of ki'>
+  <figcaption>(this is a quox)</figcaption>
+</figure>
+
+hello for _a while_ now i've been working on a language called quox. the
+one-sentence, meaningless summary is "qtt and xtt mashed together".
+
+:::aside
+wow, q and x! what an amazing coincidence!
+:::
+
+but maybe i should say what those are. i'm going to _try_ to aim this at someone
+who knows normal languages. i guess we'll see how successful that is. so first,
+
+# dependent types {#dt}
+
+maybe you already know this one. skip it if you want. (maybe you know all of
+this but you came to say hi anyway. hi!)
+
+all a <dfn>dependent type</dfn> is is a type that is allowed to talk about run
+time values. like a dependent pair might be `(len : ℕ) × Array len String` for
+a length paired with an array of strings with that length. a dependent function
+with a type like `(len : ℕ) → (x : A) → Array len A` takes a length and element
+`x` as arguments, and returns an array of that many copies of `x`.
+even ~~parametric polymorphism~~ generics are a specific form of dependent type:
+you take a type as a parameter, and get to use it in the types of the other
+arguments.
+
+:::aside
+<details>
+<summary>but i can do that in rust/c++/haskell too</summary>
+
+yeah! well, partially. in rust you can have like
+
+```rust
+fn replicate<const N: usize, A: Clone>(val: A) -> [A; N] {
+    [(); N].map(|_| val.clone())
+}
+```
+
+but it's a bit more restricted:
+
+- `N` has to always be known at compile time. you can't, for example, have the
+  length come from a config file or command-line argument
+- in rust [(at the time of writing)]{.note} and c++, only certain number-ish
+  types can be used in this way. in ghc-haskell you have more choice for what
+  data can be used in types, but you—or template haskell—have to rewrite
+  functions for the type and value level, and have "singleton" types to bridge
+  between compile time and run time
+
+so yeah, you can get some of the way there, but not completely.
+</details>
+:::
+
+dependent types let you classify values more precisely than before, so you can
+do things like have ASTs that reflect their local variables in the type.
+
+in quox, and most uses of this technique, it's enough to just keep the _number_
+of variables in scope.
+[(there are two counts in quox; see [below](#xtt) for why.)]{.note}
+in a definition like
+
+<!-- i need a default quantity so i can write this without any "what's that" -->
+
+```quox
+def backwards-plus : ω.ℕ → ω.ℕ → ℕ =
+  λ a b ⇒ plus b a
+```
+
+:::aside
+<details>
+<summary>what does all that mean</summary>
+
+- the `ω` before each argument means you have no restrictions on how you can
+  use it. see [below](#qtt). i want to have a default so you could just write
+  `ℕ → ℕ → ℕ`, but i can't decide what the default should _be_
+- functions are curried, which means they take their arguments one by one, like
+  in haskell or ocaml, rather than in a tuple. doing it this way makes writing
+  dependencies (and quantities) easier.
+- a function is written as `λ var1 var2 ⇒ body`
+- all those funky symbols have ascii alternatives, so you if you like it better
+  you can also write
+  ```quox
+  def backwards-plus : #.Nat -> #.Nat -> Nat =
+    fun a b => plus b a
+  ```
+</details>
+:::
+
+the right hand side `λ a b ⇒ plus b a` is necessarily a `Term 0 0`, with
+no local variables. the body of the function is a `Term 0 2`, because it has two
+term variables in scope.
+
+typing contexts also know how many variables they bind, so you can know for sure
+you are keeping the context properly in sync with the term under consideration.
+and if you forget, then the compiler, uh, "reminds" you. since it's notoriously
+easy to make off-by-one errors and similar mistakes when dealing with variables,
+so having the computer check your work helps a lot.
+
+--------------------------------------------------------------------------------
+
+you might not want to have every property you will ever care about be always
+reflected in types. quox's expressions have their scope size in their type,
+because dealing with variables is ubiquitous and fiddly, but they don't have
+like, a flag for whether they're reducible. i _do_ care about that sometimes,
+but it's easier to have it as a separate value:
+
+```idris
+-- in Data.So in the standard library
+data Oh : Bool -> Type where
+  Oh : So True
+
+-- in Data.DPair (simplified for now)
+data Subset : (a : Type) -> (p : a -> Type) -> Type where
+  Element : (x : a) -> p x -> Subset a p
+
+isRedex : Definitions -> Term d n -> Bool
+
+whnf : (defs : Definitions) -> WhnfContext d n ->
+       Term d n -> Subset (Term d n) (\t => So (not (isRedex defs t)))
+```
+
+a term is a <dfn>redex</dfn> (reducible expression) if the top level AST node is
+something that can be immediately reduced, like a function being applied to an
+argument, or a definition that can be unfolded. <dfn>whnf</dfn> ([weak head
+normal form][whnf]) reduces the top of the expression until there are no more
+reductions to do, and then returns the result, along with a proof that there are
+no more.
+
+[whnf]: https://en.wikipedia.org/wiki/Lambda_calculus_definition#Weak_head_normal_form
+
+datatype arguments can be of any type, but also, data constructors can restrict
+the values of those arguments in their return types. (this is what makes them
+useful in the first place.) in this case, `So` only has one constructor, only
+usable when its argument is `True`, meaning that constructing a value of type
+`So p` is only possible if the expression `p` reduces to `True`.
+
+:::aside
+<details>
+<summary>`So` considered harmful, or whatever</summary>
+
+in a lot of cases you need to write the property inductively, i.e., as a
+datatype, like
+
+```idris
+data NotRedex : Definitions -> Term d n -> Type
+
+-- DPair is similar to Subset
+whnf : (defs : Definitions) -> WhnfContext d n ->
+       Term d n -> DPair (Term d n) (\t => NotRedex defs t)
+```
+
+the reason for this is that it is often easier to define other functions by
+matching on the proof rather than the original term.
+
+but in this case that is not necessary and writing a function into `Bool` is
+easier.
+</details>
+:::
+
+other parts of the compiler, like equality checking, can similarly require
+a proof that their arguments are not redexes, so that they don't have to keep
+calling `whnf` over and over, or risk wrongly failing if one argument isn't
+reduced enough.
+
+
+# qtt (quantitative type theory) {#qtt}
+
+:::note
+(idris (2) has this one too, so i can still use real examples for now)
+:::
+
+having this extra safety is nice, but it would be even nicer if it we could be
+sure it wouldn't affect run time efficiency. for a long time, dependently typed
+languages have tried to use heuristics to elide constructor fields that were
+already determined by other fields, at least as far back as 2003 [@indices].
+but these analyses are anti-modular, in that a constructor field can only be
+erased if it is not matched against _anywhere_ in the whole program.
+
+maybe we should try telling the computer what we actually want.
+
+in qtt [@qtt; @nuttin], every local variable is annotated with
+a <dfn>quantity</dfn>, telling us how many times we can use it at run time. in
+quox [(and idris2)]{.note}, the possible choices are `0` (not at all;
+<dfn>erased</dfn>), `1` (exactly once; <dfn>linear</dfn>), and `ω` (any number
+of times; <dfn>unrestricted</dfn>, and the default in idris and not written). if
+a variable is marked with `0`, then you can't do anything with it that would
+affect run time behaviour. for example,
+
+- you can only match on values if their type has one or zero cases. if you
+  "have" a variable of the empty type `v : {}`, you're already in an unreachable
+  branch, so it's fine to abort with
+  `case0 v return 〈whatever〉 of { }`.
+  if you have an erased pair, it's fine to split it up, but the two parts will
+  still be erased.
+  matching on something like `Bool` isn't possible, because the value is no
+  longer there to look at.
+
+- type signatures only exist at compile time so you can do whatever you want
+  there.
+
+- equality proofs don't have any computational behaviour (unlike in [some other
+  type theories][hott]), so [coercion](#xtt) works with an erased proof
+
+[hott]: https://homotopytypetheory.org
+
+
+as well as erasure, there is also linearity. a linear variable must be used
+exactly once in a linear context (and any number of times in an erased context,
+like in types or proofs talking about it). this is useful for things like file
+handles and other kinds of resources that have strict usage requirements. it's
+similar to passing a variable by value in rust, where after you do so, you can't
+use it yourself any more.
+
+:::aside
+there's no equivalent to <dfn>borrowing</dfn> inside the type system, but
+i think with a careful choice of builtins, it would be possible to do a similar
+thing in an external library.
+
+_[rust person voice]_ it would be less _ergonomic_ as library, but having
+a borrow checker inside the language would immediately blow my _complexity
+budget_. :crab:
+:::
+
+i don't have much to say about this, honestly, but ask any rust user about the
+benefits of tracking resource ownership in types.
+
+--------------------------------------------------------------------------------
+
+so where do these quantities come from? from the types, of course. a function
+type in quox, which looks like `ρ.(x : A) → B`, has a quantity ρ attached,
+which describes how a function value of that type can use its argument.
+an identity function `λ x ⇒ x` can have type `1.A → A` or `ω.A → A`, but not
+`0.A → A`. and a "diagonal" function `λ x ⇒ (x, x)` can only be `ω.A → A × A`.
+
+a whole definition can be erased (and if it's a definition of a type, it has to
+be, since types don't exist at run time), like
+
+```quox
+def0 TwoOfThem : ★ = ℕ × ℕ
+```
+
+finally, you can mark a specific term with a quantity. say you want to write
+a function that returns some number, plus an erased proof that it's even.
+obviously you can't mark the whole definition as erased with `def0`, since
+you want the number itself. and giving the return type as `(n : ℕ) × Even n`
+makes the proof appear at run time, which might be unwanted if it's something
+big. so you can erase the second half of the pair by writing
+`(n : ℕ) × [0. Even n]`. a value of a "boxed" type `\[π. A]` is written `\[e]`
+if `e : A`. for a slightly bigger example, you might want a decidable equality
+that gives you _erased_ proofs, so you can use them in coercions, but they don't
+show up at run time.
+
+```quox
+def0 Not : ω.★ → ★ = λ A ⇒ ω.A → {}
+
+def0 Either : ω.★ → ω.★ → ★ = ⋯  -- constructors Left and Right
+
+def0 Dec : ω.★ → ★ = λ A ⇒ Either [0. A] [0. Not A]
+
+def Yes : 0.(A : ★) → 0.A       → Dec A = λ A y ⇒ Left  [0. A] [0. Not A] [y]
+def No  : 0.(A : ★) → 0.(Not A) → Dec A = λ A n ⇒ Right [0. A] [0. Not A] [n]
+
+def0 DecEq : ω.★ → ★ = λ A ⇒ ω.(x y : A) → Dec (x ≡ y : A)
+```
+
+you can also use the same construction to have some unrestricted parts of an
+otherwise linear structure.
+
+:::aside
+still missing from this story, in my opinion, is some form of compile-time
+irrelevance. a lot of the time, you don't care about the content of a proof,
+only that it is satisfied, so if division has a type like
+`div : 1.ℚ → 1.(d : ℚ) → 0.(NonZero d) → ℚ`, you want some way to get
+`div x y p₁` and `div x y p₂` to always be equal, without even having to look at
+`p₁` and `p₂`. there's no way to do that yet, because it doesn't seem to fit
+into qtt cleanly. maybe a single squash type..?
+:::
+
+
+# xtt ("extensional" type theory) {#xtt}
+
+:::aside
+but not _that_ extensional type theory
+:::
+
+[@xtt]
+
+# other stuff {#misc}
+
+- crude but effective [@crude; @mugen]
+- bidirectional typechecking [@bidi]
+- ...
+
+# i still don't know how to actually write a program {.unnumbered}
+
+i know. that's ok. i'm just trying to communicate why someone might,
+hypothetically, care.
+
+did it work?
+
+# references {#ref}
diff --git a/posts-wip/2023-06-12-algorithmic-xtt.md b/posts-wip/2023-06-12-algorithmic-xtt.md
new file mode 100644
index 0000000..9ac3fa2
--- /dev/null
+++ b/posts-wip/2023-06-12-algorithmic-xtt.md
@@ -0,0 +1,1014 @@
+---
+title: an imperfect algorithmic presentation of xtt
+date: 2023-06-12
+tags: [computer, types]
+bibliography: quox.bib
+link-citations: true
+show-toc: true
+...
+
+hello everyone. as part of my language [quox] i made a typechecking algorithm
+for xtt [@xtt]. plus other stuff. but here's just the xtt part, in case anyone
+is interested.
+
+[quox]: https://git.rhiannon.website/rhi/quox
+
+- the syntax is slightly different because it uses bidirectional typing [@bidi].
+  i've tried to roll back my other arbitrary syntactic changes for this document
+  to avoid confusion though. other than subtyping instead of explicit lifting,
+  because that seemed significantly easier. to me at least.
+- this algorithm [isn't very efficient](#compute-elim-ty). it is what currently
+  exists in quox, and when i improve that stuff in future, hopefully i'll
+  remember to come back and update this post.
+- i also **haven't proven anything**, so if it's wrong, then i apologise for my
+  hubris.
+
+anyway. let's get started.
+
+# syntax
+
+mostly follows @xtt, but with a few annotations added or removed for
+bidirectional reasons.
+
+- a "term" is a type or an introduction form. it can be checked against a given
+  type.
+- an "elimination" is a string of elimination forms applied to either a variable
+  or an annotated term. its type can be synthesised.
+- substitutions take variables to _eliminations_, to preserve typeability,
+  and in this presentation, syntactic well-formedness.
+- $x, y$ denote term variables, and $𝑖, 𝑗$ denote dimension variables.
+
+:::texdefs
+$$
+\newcommand\Ceq{\Coloneqq}
+\newcommand\Or{\mathrel|}
+\newcommand\E\underline
+\newcommand\Bar{\mathrel|}
+\newcommand\Rule[3]{
+  \begin{array}{l}
+    \text{\small [#3]} \\
+    \displaystyle
+    \frac{ \begin{gather}#1\end{gather} }{ \begin{gather}#2\end{gather} }
+  \end{array}
+}
+$$
+:::
+
+$$
+\begin{aligned}
+  ε    &\Ceq 0 \Or 1 & \text{dimension constants} \\
+  p, q &\Ceq 𝑖 \Or ε & \text{dimensions} \\
+  ξ    &\Ceq p = q   & \text{dimension constraints} \\
+  𝓀    &∈ ℕ          & \text{concrete universe levels} \\
+  ℓ    &\Ceq 𝓀 \Or \top & \text{judgement levels} \\
+  s, t, u, A, B, C &\Ceq
+    𝒰_ℓ \Or
+    (x : A) → B \Or λx. s  \Or
+    (x : A) × B \Or (s, t) \Or
+    & \text{terms (incl. types)} \\
+  & \mathrel{\hphantom{\Ceq}}
+    𝗘𝗾_{𝑖. A} \; s \; t \Or λ𝑖. s \Or
+    𝗯𝗼𝗼𝗹 \Or 𝘁𝗿𝘂𝗲 \Or 𝗳𝗮𝗹𝘀𝗲 \Or \E{e} \\
+  e, f, g &\Ceq
+    x \Or
+    f \; s \Or
+    𝗳𝘀𝘁 \; e \Or 𝘀𝗻𝗱 \; e \Or
+    f \; p \Or
+    𝗶𝗳_{x. A} \; e \; 𝘁𝗵𝗲𝗻 \; s \; 𝗲𝗹𝘀𝗲 \; t \Or s : A \Or
+    & \text{eliminations} \\
+  & \mathrel{\hphantom{\Ceq}}
+    [𝑖. A] ↓^p_{p'} s \Or
+    A ↓^p_{p'} s \; [q \; 𝘄𝗶𝘁𝗵 \; 0 ↪ 𝑗. t₀ \Bar 1 ↪ 𝑗. t₁] \Or \\
+  & \mathrel{\hphantom{\Ceq}}
+    𝘁𝘆𝗰𝗮𝘀𝗲_A \; e \; \left[
+      \begin{array}{lcl}
+        𝒰                               & ↪ & t_𝒰 \\
+        Π \; x \; y                     & ↪ & t_Π \\
+        Σ \; x \; y                     & ↪ & t_Σ \\
+        𝗘𝗾 \; x₀ \; x₁ \; x \; y₀ \; y₁ & ↪ & t_{𝗘𝗾} \\
+        𝗯𝗼𝗼𝗹                            & ↪ & t_{𝗯𝗼𝗼𝗹}
+      \end{array}
+    \right] \\
+  Ψ, Φ &\Ceq · \Or Ψ, 𝑖 \Or Ψ, ξ & \text{cubes} \\
+  Γ, Δ &\Ceq · \Or Γ, x: A       & \text{contexts}
+\end{aligned}
+$$
+
+only real levels $𝓀 ∈ ℕ$ can occur in expressions. the special level $\top$ is
+for checking a type in a context where any level is accepted, for example the
+type in an annotation $s : A$.
+
+in a $𝘁𝘆𝗰𝗮𝘀𝗲$, the pattern variables are assigned this way:
+
+- for a function type $(z : A) → B : 𝒰_𝓀$, the $Π$ case is taken with
+  $x ≔ (A : 𝒰_𝓀)$ and $y ≔ ((λz. B) : 𝒰_𝓀 → 𝒰_𝓀)$.
+- same for a pair type $(z : A) × B$ and the $Σ$ case.
+- for an equality type $𝗘𝗾_{i. A} \; s \; t : 𝒰_𝓀$:
+  - $x₀$ and $x₁$ are set to the endpoints of the type line $A$; \
+    $x₀ ≔ (A[0/𝑖] : 𝒰_𝓀)$ and $x₁ ≔ (A[1/𝑖] : 𝒰_𝓀)$.
+  - $x$ is an equality between them; \
+    $x ≔ ((λ𝑖. A) : 𝗘𝗾_{𝑖. 𝒰_𝓀} \; A[0/𝑖] \; A[1/𝑖]$.
+  - $y₀$ and $y₁$ are the terms being equated; \
+    $y₀ ≔ (s : A[0/𝑖])$ and $y₁ ≔ (t : A[1/𝑖])$.
+
+----
+
+:::texdefs
+$$
+\newcommand\IN{\textcolor{#60c}}
+\newcommand\OUT{\textcolor{#082}}
+$$
+:::
+
+<style>
+.input  { font-weight: 500; color: #60c; }
+.output { font-weight: 500; color: #082; }
+</style>
+
+when introducing new judgements, the [inputs]{.input} and [outputs]{.output} are
+colour coded. all judgements assume that the cube and context are well formed
+(omitted).
+
+:::rulebox
+$$
+\begin{gathered}
+\IN{Ψ} ⊢ \IN{p} \; 𝐝𝐢𝐦 \qquad
+\IN{Ψ} ⊢ \IN{p} = \IN{p'} \; 𝐝𝐢𝐦
+\end{gathered}
+$$
+:::
+
+# dimension checking {#dim}
+
+the well-formedness rules are the same as in the paper. since quox uses well
+scoped de bruijn indices, every value of type `Dim d` is well formed, so they
+don't exist at all really.
+
+the equality rules are just baby's first equational theory solver.
+
+
+:::rulebox
+$$ \IN{Ψ} \Bar \IN{Γ} ⊢ \IN{A} ⇐ 𝐭𝐲𝐩𝐞_{\IN{ℓ}} $$
+:::
+
+# type checking {#ty}
+
+$$ \Rule{}{Ψ, 0=1 \Bar Γ ⊢ A ⇐ 𝐭𝐲𝐩𝐞_ℓ}{ty-01} $$
+
+$$ \Rule{}{Ψ \Bar Γ ⊢ 𝗯𝗼𝗼𝗹 ⇐ 𝐭𝐲𝐩𝐞_ℓ}{ty-bool} $$
+
+$$
+\Rule{
+  Ψ \Bar Γ ⊢ A ⇐ 𝐭𝐲𝐩𝐞_ℓ \qquad
+  Ψ \Bar Γ, x : A ⊢ B ⇐ 𝐭𝐲𝐩𝐞_ℓ
+}{
+  Ψ \Bar Γ ⊢ (x : A) → B ⇐ 𝐭𝐲𝐩𝐞_ℓ \\
+  Ψ \Bar Γ ⊢ (x : A) × B ⇐ 𝐭𝐲𝐩𝐞_ℓ
+}{ty-pi; ty-sig}
+$$
+
+$$
+\Rule{
+  Ψ, 𝑖 \Bar Γ ⊢ A ⇐ 𝐭𝐲𝐩𝐞_ℓ \qquad
+  Ψ, 𝑖, 𝑖 = ε \Bar Γ ⊢ s_ε ⇐ A
+}{
+  Ψ \Bar Γ ⊢ 𝗘𝗾_{𝑖. A} \; s₀ \; s₁ ⇐ 𝐭𝐲𝐩𝐞_ℓ
+}{ty-eq}
+$$
+
+$$ \Rule{Ψ \Bar Γ ⊢ e ⇒ 𝒰_ℓ}{Ψ \Bar Γ ⊢ \E e ⇐ 𝐭𝐲𝐩𝐞_ℓ}{ty-el} $$
+
+:::rulebox
+$$ \IN{ℓ} < \IN{ℓ'} $$
+:::
+
+for comparing levels:
+
+$$
+\Rule{𝓀 <_ℕ 𝓀'}{𝓀 < 𝓀'}{lvl-nat} \qquad
+\Rule{𝓀 ∈ ℕ}{𝓀 < \top}{lvl-top}
+$$
+
+
+:::rulebox
+$$ \IN{Ψ} \Bar \IN{Γ} ⊢ \IN{s} ⇐ \IN{A} $$
+:::
+
+# term checking {#chk}
+
+assumes that $Ψ \Bar Γ ⊢ A ⇐ 𝐭𝐲𝐩𝐞_\top$.
+
+$$ \Rule{}{Ψ, 0=1 \Bar Γ ⊢ s ⇐ A}{tm-01} $$
+
+[reduce the expected type to whnf](#tm-red) before trying to match against it, of
+course.
+
+$$
+\Rule{
+  Γ ⊢ 𝐰𝐡𝐧𝐟 \; A ↦ A' \qquad
+  Ψ \Bar Γ ⊢_w s ⇐ A'
+}{Ψ \Bar Γ ⊢ s ⇐ A}{tm-whnf}
+$$
+
+if $s$ is syntactically a type, then defer to $𝐭𝐲𝐩𝐞$ [above](#ty).
+
+$$ \Rule{Ψ \Bar Γ ⊢ A ⇐ 𝐭𝐲𝐩𝐞_ℓ}{Ψ \Bar Γ ⊢_w A ⇐ 𝒰_ℓ}{tm-ty} $$
+
+otherwise:
+
+$$
+\Rule{Ψ \Bar Γ, x : A ⊢ s ⇐ B}{Ψ \Bar Γ ⊢_w λx. s ⇐ (x : A) → B}{tm-lam}
+$$
+
+$$
+\Rule{
+  Ψ \Bar Γ ⊢ s ⇐ A \qquad
+  Ψ \Bar Γ ⊢ t ⇐ B[(t:A)/x]
+}{Ψ \Bar Γ ⊢_w (s, t) ⇐ (x : A) × B}{tm-pair}
+$$
+
+$$
+\Rule{
+  Ψ, i \Bar Γ ⊢ s ⇐ A \qquad
+  Ψ, i, i = ε \Bar Γ ⊢ s = s_ε ⇐ A
+}{Ψ \Bar Γ ⊢_w λ𝑖. s ⇐ 𝗘𝗾_{𝑖. A} \; s₀ \; s₁}{tm-dlam}
+$$
+
+$$
+\Rule{}{
+  Ψ \Bar Γ ⊢_w 𝘁𝗿𝘂𝗲 ⇐ 𝗯𝗼𝗼𝗹 \qquad Ψ \Bar Γ ⊢_w 𝗳𝗮𝗹𝘀𝗲 ⇐ 𝗯𝗼𝗼𝗹
+}{tm-true; tm-false}
+$$
+
+:::aside
+maybe you want to make $𝘁𝗿𝘂𝗲$ and $𝗳𝗮𝗹𝘀𝗲$ inferrable. _in my opinion_, there are
+not that many cases where you end up having to write $𝘁𝗿𝘂𝗲 : 𝗯𝗼𝗼𝗹$, and, if you
+have separate term/elim syntactic classes like i do, it's not worth muddying the
+nice clean separation in e.g. $𝐰𝐡𝐧𝐟$ for this. in my onion. :onion:
+:::
+
+$$
+\Rule{
+  Ψ \Bar Γ ⊢ e ⇒ A' \qquad
+  Ψ \Bar Γ ⊢ A <:_\top A'
+}{Ψ \Bar Γ ⊢ \E e ⇐ A}{tm-el}
+$$
+
+
+:::rulebox
+$$ \IN{Ψ} \Bar \IN{Γ} ⊢ \IN{e} ⇒ \OUT{A} $$
+:::
+
+# elimination synthesis {#syn}
+
+$$ \Rule{}{Ψ, 0=1 \Bar Γ ⊢ e ⇒ 𝗯𝗼𝗼𝗹}{el-01} $$
+
+in an inconsistent cube, the type being returned is just a placeholder.
+in quox, the typechecker returns what is essentially a more
+fancily-typed `Maybe`, with `Nothing` iff $Ψ ⊢ 0=1 \; 𝐝𝐢𝐦$.
+
+$$ \Rule{x : A ∈ Γ}{Ψ \Bar Γ ⊢ x ⇒ A}{el-var} $$
+
+$$
+\Rule{
+  Ψ \Bar Γ ⊢ f ⇒ (x : A) → B \qquad
+  Ψ \Bar Γ ⊢ s ⇐ A
+}{Ψ \Bar Γ ⊢ f \; s ⇒ B[(s:A)/x]}{el-app}
+$$
+
+$$
+\Rule{
+  Ψ \Bar Γ ⊢ e ⇒ (x : A) × B
+}{
+  Ψ \Bar Γ ⊢ 𝗳𝘀𝘁 \; e ⇒ A \qquad
+  Ψ \Bar Γ ⊢ 𝘀𝗻𝗱 \; e ⇒ B[(𝗳𝘀𝘁 \; e)/x]
+}{el-fst; el-snd}
+$$
+
+$$
+\Rule{
+  Ψ \Bar Γ ⊢ e ⇒ 𝗯𝗼𝗼𝗹 \qquad
+  Ψ \Bar Γ, x : 𝗯𝗼𝗼𝗹 ⊢ A ⇐ 𝐭𝐲𝐩𝐞_\top \\
+  Ψ \Bar Γ ⊢ s ⇐ A[(𝘁𝗿𝘂𝗲 : 𝗯𝗼𝗼𝗹)/x] \qquad
+  Ψ \Bar Γ ⊢ t ⇐ A[(𝗳𝗮𝗹𝘀𝗲 : 𝗯𝗼𝗼𝗹)/x]
+}{
+  Ψ \Bar Γ ⊢ 𝗶𝗳_{x. A} \; e \; 𝘁𝗵𝗲𝗻 \; s \; 𝗲𝗹𝘀𝗲 \; t ⇒ A[e/x]
+}{el-if}
+$$
+
+:::aside
+maybe you want to make the head of $𝗶𝗳$ be checkable. same caveat as making
+$𝘁𝗿𝘂𝗲$/$𝗳𝗮𝗹𝘀𝗲$ inferrable. i just don't think $𝗶𝗳 \; 𝘁𝗿𝘂𝗲 : 𝗯𝗼𝗼𝗹 \; 𝘁𝗵𝗲𝗻 ⋯$
+comes up often enough to worry about it.
+:::
+
+$$
+\Rule{
+  Ψ \Bar Γ ⊢ A ⇐ 𝐭𝐲𝐩𝐞_\top \qquad
+  Ψ \Bar Γ ⊢ s ⇐ A
+}{
+  Ψ \Bar Γ ⊢ s : A ⇒ A
+}{el-ann}
+$$
+
+$$
+\Rule{
+  Ψ, 𝑖 \Bar Γ ⊢ A ⇐ 𝐭𝐲𝐩𝐞_\top \qquad
+  Ψ ⊢ p \qquad Ψ ⊢ p' \qquad
+  Ψ \Bar Γ ⊢ s ⇐ A[p/𝑖]
+}{
+  Ψ \Bar Γ ⊢ [𝑖. A] ↓^p_{p'} s ⇒ A[p'/𝑖]
+}{el-coe}
+$$
+
+$$
+\Rule{
+  Ψ \Bar Γ ⊢ A ⇐ 𝐭𝐲𝐩𝐞_\top \qquad
+  Ψ \Bar Γ ⊢ s ⇐ A \\
+  Ψ, q=ε, 𝑗 \Bar Γ ⊢ t_ε ⇐ A \qquad
+  Ψ, q=ε, 𝑗, 𝑗=p \Bar Γ ⊢ t_ε = s ⇐ A \\
+}{
+  Ψ \Bar Γ ⊢
+    A ↓^p_{p'} s \; [q \; 𝘄𝗶𝘁𝗵 \; 0 ↪ 𝑗. t₀ \Bar 1 ↪ 𝑗. t₁]
+    ⇒ A
+}{el-comp}
+$$
+
+$$
+\Rule{
+  Ψ \Bar Γ ⊢ A ⇐ 𝐭𝐲𝐩𝐞_\top \qquad
+  Ψ \Bar Γ ⊢ e ⇒ 𝒰_𝓀 \\
+  Ψ \Bar Γ ⊢ t_𝒰 ⇐ A \qquad
+  Ψ \Bar Γ ⊢ t_{𝗯𝗼𝗼𝗹} ⇐ A \\
+  Ψ \Bar Γ, x : 𝒰_𝓀, y : 𝒰_𝓀 ⊢ t_Π ⇐ A \qquad
+  Ψ \Bar Γ, x : 𝒰_𝓀, y : 𝒰_𝓀 ⊢ t_Σ ⇐ A \\
+  Ψ \Bar Γ, x₀ : 𝒰_𝓀, x₁ : 𝒰_𝓀, x : 𝗘𝗾_{\_. 𝒰_𝓀} \; x₀ \; x₁,
+            y₀ : x₀, y₁ : x₁ ⊢ t_{𝗘𝗾} ⇐ A
+}{
+  Ψ \Bar Γ ⊢
+    𝘁𝘆𝗰𝗮𝘀𝗲_A \; e \; \left[
+      \begin{array}{lcl}
+        𝒰                               & ↪ & t_𝒰 \\
+        Π \; x \; y                     & ↪ & t_Π \\
+        Σ \; x \; y                     & ↪ & t_Σ \\
+        𝗘𝗾 \; x₀ \; x₁ \; x \; y₀ \; y₁ & ↪ & t_{𝗘𝗾} \\
+        𝗯𝗼𝗼𝗹                            & ↪ & t_{𝗯𝗼𝗼𝗹}
+      \end{array}\right] ⇒ A
+}{el-tycase}
+$$
+
+
+:::rulebox
+$$ \IN Ψ \Bar \IN Γ ⊢ \IN A <:_{\IN ℓ} \IN B $$
+:::
+
+# subtyping {#sub}
+
+$$
+\Rule{Ψ \Bar Γ ⊢ A = A' ⇐ 𝐭𝐲𝐩𝐞_ℓ}{Ψ \Bar Γ ⊢ A <:_{ℓ} A'}{sub-eq}
+\qquad
+\Rule{𝓀₁ ≤ 𝓀₂ < ℓ}{Ψ \Bar Γ ⊢ 𝒰_{𝓀₁} <:_{ℓ} 𝒰_{𝓀₂}}{sub-univ}
+$$
+
+$$
+\Rule{
+  Ψ \Bar Γ ⊢ A' <:_{ℓ} A \qquad
+  Ψ \Bar Γ ⊢ B <:_{ℓ} B'
+}{
+  Ψ \Bar Γ ⊢ (x : A) → B <:_{ℓ} (x : A') → B'
+}{sub-Π}
+\qquad
+\Rule{
+  Ψ \Bar Γ ⊢ A <:_{ℓ} A' \qquad
+  Ψ \Bar Γ ⊢ B <:_{ℓ} B'
+}{
+  Ψ \Bar Γ ⊢ (x : A) × B <:_{ℓ} (x : A') × B'
+}{sub-Σ}
+$$
+
+$$
+\Rule{
+  Ψ \Bar Γ ⊢ A <:_{ℓ} A' \qquad
+  Ψ \Bar Γ ⊢ s = s' ⇐ A'[0/𝑖] \qquad
+  Ψ \Bar Γ ⊢ t = t' ⇐ A'[1/𝑖]
+}{
+  Ψ \Bar Γ ⊢ 𝗘𝗾_{i.A} \; s \; t <:_{ℓ} 𝗘𝗾_{i. A'} \; s' \; t'
+}{sub-eq}
+$$
+
+
+# equality {#eq}
+
+due to boundary separation, equality is tested separately in every consistent
+corner of the cube, by generating all dimension substitutions and applying each
+one in turn. the judgements with $⊢_s$ are used in each corner individually.
+
+$$
+ψ, φ \Ceq · \Or ψ, ε/𝑖 \qquad \text{dimension substitutions}
+$$
+
+
+:::rulebox
+$$ \OUT ψ ∈ 𝐬𝐩𝐥𝐢𝐭_{𝐝𝐢𝐦} \; \IN Ψ $$
+:::
+
+## cube splitting
+
+in general $ψ$ has multiple solutions, returned as a set.
+
+$$
+\Rule{}{· ∈ 𝐬𝐩𝐥𝐢𝐭_{𝐝𝐢𝐦} \; ·}{sd-nil}
+$$
+
+$$
+\Rule{
+  ψ ∈ 𝐬𝐩𝐥𝐢𝐭_{𝐝𝐢𝐦} \; Ψ
+}{
+  ψ, 0/𝑖 ∈ 𝐬𝐩𝐥𝐢𝐭_{𝐝𝐢𝐦} (Ψ, 𝑖) \\
+  ψ, 0/𝑖 ∈
+  𝐬𝐩𝐥𝐢𝐭_{𝐝𝐢𝐦} (Ψ, 𝑖, 𝑖=0)
+}{sd-0}
+\qquad
+\Rule{
+  ψ ∈ 𝐬𝐩𝐥𝐢𝐭_{𝐝𝐢𝐦} \; Ψ
+}{
+  ψ, 1/𝑖 ∈ 𝐬𝐩𝐥𝐢𝐭_{𝐝𝐢𝐦} (Ψ, 𝑖) \\
+  ψ, 1/𝑖 ∈ 𝐬𝐩𝐥𝐢𝐭_{𝐝𝐢𝐦} (Ψ, 𝑖, 𝑖=1)
+}{sd-1}
+$$
+
+
+:::rulebox
+$$ \IN{Ψ} \Bar \IN{Γ} ⊢ \IN{A} = \IN{A'} ⇐ 𝐭𝐲𝐩𝐞_{\IN{ℓ}} $$
+:::
+
+## types {#ty-eq}
+
+assumes that $Ψ \Bar Γ ⊢ A ⇐ 𝐭𝐲𝐩𝐞_ℓ$ and $Ψ \Bar Γ ⊢ A' ⇐ 𝐭𝐲𝐩𝐞_ℓ$.
+
+$$
+\Rule{
+  ∀ ψ ∈ 𝐬𝐩𝐥𝐢𝐭_{𝐝𝐢𝐦} \; Ψ. Γ ⊢_𝐬 A[ψ] = B[ψ] ⇐ 𝐭𝐲𝐩𝐞_ℓ
+}{
+  Ψ \Bar Γ ⊢ A = B ⇐ 𝐭𝐲𝐩𝐞_ℓ
+}{eq-ty-split}
+$$
+
+$$ \Rule{𝓀 < ℓ}{Γ ⊢_𝐬 𝒰_𝓀 = 𝒰_𝓀 ⇐ 𝐭𝐲𝐩𝐞_ℓ}{eq-ty-univ} $$
+
+$$
+\Rule{
+  Γ ⊢_𝐬 A = A' ⇐ 𝐭𝐲𝐩𝐞_ℓ \qquad
+  Γ, x : A ⊢_𝐬 B = B' ⇐ 𝐭𝐲𝐩𝐞_ℓ \qquad
+}{
+  Γ ⊢_𝐬 ((x : A) → B) = ((x : A') → B) ⇐ 𝐭𝐲𝐩𝐞_ℓ \\
+  Γ ⊢_𝐬 ((x : A) × B) = ((x : A') × B) ⇐ 𝐭𝐲𝐩𝐞_ℓ
+}{eq-ty-\{Π,Σ\}}
+$$
+
+$$
+\Rule{
+  Γ ⊢_𝐬 A[0/𝑖] = A'[0/𝑖] ⇐ 𝐭𝐲𝐩𝐞_ℓ \qquad
+  Γ ⊢_𝐬 A[1/𝑖] = A'[1/𝑖] ⇐ 𝐭𝐲𝐩𝐞_ℓ \\
+  Γ ⊢_𝐬 s = s' ⇐ A[0/𝑖] \qquad
+  Γ ⊢_𝐬 t = t' ⇐ A[1/𝑖]
+}{
+  Γ ⊢_𝐬 𝗘𝗾_{i. A} \; s \; t = 𝗘𝗾_{i. A'} \; s' \; t' ⇐ 𝐭𝐲𝐩𝐞_ℓ
+}{eq-ty-eq}
+$$
+
+$$ \Rule{}{Γ ⊢_𝐬 𝗯𝗼𝗼𝗹 = 𝗯𝗼𝗼𝗹 ⇐ 𝐭𝐲𝐩𝐞_ℓ}{eq-ty-bool} $$
+
+$$ \Rule{Γ ⊢_𝐬 e = e' ⇒ 𝒰_𝓀}{Γ ⊢_𝐬 \E{e} = \E{e'} ⇐ 𝐭𝐲𝐩𝐞_𝓀}{eq-ty-el} $$
+
+
+:::rulebox
+$$
+\begin{gathered}
+\IN{Ψ} \Bar \IN{Γ} ⊢ \IN{s} = \IN{s'} ⇐ \IN{A} \\
+\IN{Γ} ⊢_𝐬 \IN{s} = \IN{s'} ⇐ \IN{A}
+\end{gathered}
+$$
+:::
+
+## terms {#tm-eq}
+
+assumes that $Ψ \Bar Γ ⊢ s ⇐ A$ and $Ψ \Bar Γ ⊢ s' ⇐ A$.
+
+$$
+\Rule{
+  ∀ ψ ∈ 𝐬𝐩𝐥𝐢𝐭_{𝐝𝐢𝐦} \; Ψ. Γ ⊢_𝐬 s[ψ] = s'[ψ] ⇐ A[ψ]
+}{
+  Ψ \Bar Γ ⊢ s = s' ⇐ A
+}{eq-tm-split}
+$$
+
+$$
+\Rule{
+  Γ ⊢ A \; 𝐬𝐮𝐛𝐬𝐢𝐧𝐠
+}{
+  Γ ⊢_𝐬 s = t ⇐ A
+}{eq-tm-subsing}
+$$
+
+### types
+
+$$ \Rule{Γ ⊢_𝐬 s = t ⇐ 𝐭𝐲𝐩𝐞_𝓀}{Γ ⊢_𝐬 s = t ⇐ 𝒰_𝓀}{eq-tm-ty} $$
+
+### functions
+
+$$
+\Rule{
+  Γ, x : A ⊢_𝐬 s = t ⇐ B
+}{
+  Γ ⊢_𝐬 (λx. s) = (λx. t) ⇐ (x : A) → B
+}{eq-tm-λ}
+$$
+
+$$
+\Rule{
+  Γ, x : A ⊢_𝐬 s = \E{e \; x} ⇐ B
+}{
+  Γ ⊢_𝐬 (λx. s) = \E e ⇐ (x : A) → B
+}{eq-tm-λ-η1}
+\qquad
+\Rule{
+  Γ, x : A ⊢_𝐬 \E{e \; x} = s ⇐ B
+}{
+  Γ ⊢_𝐬 \E e = (λx. s) ⇐ (x : A) → B
+}{eq-tm-λ-η2}
+$$
+
+### pairs
+
+$$
+\Rule{
+  Γ ⊢_𝐬 s₀ = t₀ ⇐ A \qquad
+  Γ, x : A ⊢_𝐬 s₁ = t₁ ⇐ B[s₀/x]
+}{
+  Γ ⊢ (s₀, s₁) = (t₀, t₁) ⇐ (x : A) × B
+}{eq-tm-pair}
+$$
+
+$$
+\Rule{
+  Γ ⊢_𝐬 s₀ = \E{𝗳𝘀𝘁 \; e} ⇐ A \qquad
+  Γ ⊢_𝐬 s₁ = \E{𝘀𝗻𝗱 \; e} ⇐ B[s₀/x]
+}{
+  Γ ⊢ (s₀, s₁) = \E e ⇐ (x : A) × B
+}{eq-tm-pair-η1}
+$$
+
+$$
+\Rule{
+  Γ ⊢_𝐬 \E{𝗳𝘀𝘁 \; e} = t₀ ⇐ A \qquad
+  Γ ⊢_𝐬 \E{𝘀𝗻𝗱 \; e} = t₁ ⇐ B[t₀/x]
+}{
+  Γ ⊢ \E e = (t₀, t₁) ⇐ (x : A) × B
+}{eq-tm-pair-η2}
+$$
+
+### equalities
+
+look! uip!
+
+$$ \Rule{}{Γ ⊢_𝐬 s₀ = s₁ ⇐ 𝗘𝗾_{i. A} \; t₀ \; t₁}{eq-tm-dλ} $$
+
+### bool
+
+$$
+\Rule{}{Γ ⊢_𝐬 𝘁𝗿𝘂𝗲 = 𝘁𝗿𝘂𝗲 ⇐ 𝗯𝗼𝗼𝗹}{eq-tm-true} \qquad
+\Rule{}{Γ ⊢_𝐬 𝗳𝗮𝗹𝘀𝗲 = 𝗳𝗮𝗹𝘀𝗲 ⇐ 𝗯𝗼𝗼𝗹}{eq-tm-false}
+$$
+
+### eliminations
+
+$$ \Rule{Γ ⊢_𝐬 e = e' ⇒ A}{Γ ⊢_𝐬 \E e = \E{e'} ⇐ A}{eq-tm-el} $$
+
+
+:::rulebox
+$$
+\begin{gathered}
+\IN{Ψ} \Bar \IN{Γ} ⊢ \IN{e} = \IN{e'} \\
+\IN{Γ} ⊢_𝐬 \IN{e} = \IN{e'} ⇒ \OUT{A}
+\end{gathered}
+$$
+:::
+
+## eliminations {#el-eq}
+
+assumes that $Ψ \Bar Γ ⊢ e ⇒ A$ and $Ψ \Bar Γ ⊢ e' ⇒ A$ for some $A$.
+
+$$
+\Rule{
+  ∀ ψ ∈ 𝐬𝐩𝐥𝐢𝐭_{𝐝𝐢𝐦} \; Ψ. ∃A. Γ ⊢_𝐬 e[ψ] = e'[ψ] ⇒ A
+}{
+  Ψ \Bar Γ ⊢ e = e'
+}{eq-el-split}
+$$
+
+$$
+\Rule{
+  Γ ⊢ 𝐭𝐲 \; e ↦ A \qquad Γ ⊢ A \; 𝐬𝐮𝐛𝐬𝐢𝐧𝐠
+}{
+  Γ ⊢_𝐬 e = e' ⇒ A
+}{eq-el-subsing}
+$$
+
+:::aside
+the type computed for this rule can't be shared with the rest of the rules,
+because they only return a type when they succeed. very unsatisfying
+:::
+
+$$ \Rule{(x : A) ∈ Γ}{Γ ⊢_𝐬 x = x ⇒ A}{eq-el-var} $$
+
+$$
+\Rule{
+  Γ ⊢_𝐬 f = f' ⇒ (x : A) → B \qquad
+  Γ ⊢_𝐬 s = s' ⇐ A
+}{
+  Γ ⊢_𝐬 f \; s = f' \; s' ⇒ B[s/x]
+}{eq-el-app}
+$$
+
+$$
+\Rule{
+  Γ ⊢_𝐬 e = e' ⇒ (x : A) × B
+}{
+  Γ ⊢_𝐬 𝗳𝘀𝘁 \; e = 𝗳𝘀𝘁 \; e' ⇒ A \\
+  Γ ⊢_𝐬 𝘀𝗻𝗱 \; e = 𝘀𝗻𝗱 \; e' ⇒ B[𝗳𝘀𝘁 \; e/x]
+}{eq-el-\{fst,snd\}}
+$$
+
+$$
+\Rule{
+  Γ, x : 𝗯𝗼𝗼𝗹 ⊢_𝐬 A = A' ⇐ 𝐭𝐲𝐩𝐞_\top \qquad
+  Γ ⊢_𝐬 e = e' ⇒ 𝗯𝗼𝗼𝗹 \\
+  Γ ⊢_𝐬 s = s' ⇐ A[(𝘁𝗿𝘂𝗲 : 𝗯𝗼𝗼𝗹)/x] \qquad
+  Γ ⊢_𝐬 t = t' ⇐ A[(𝗳𝗮𝗹𝘀𝗲 : 𝗯𝗼𝗼𝗹)/x]
+}{
+  Γ ⊢_𝐬 𝗶𝗳_{x.A} \; e \; 𝘁𝗵𝗲𝗻 \; s \; 𝗲𝗹𝘀𝗲 \; t =
+    𝗶𝗳_{x.A'} \; e' \; 𝘁𝗵𝗲𝗻 \; s' \; 𝗲𝗹𝘀𝗲 \; t' ⇒ A[e/x]
+}{eq-el-if}
+$$
+
+TODO coe
+
+in an empty cube, there are no dimension applications or compositions.
+
+
+:::rulebox
+$$ \IN Γ ⊢ \IN A \; 𝐬𝐮𝐛𝐬𝐢𝐧𝐠$$
+:::
+
+# subsingleton types
+
+if a type is a <dfn>subsingleton</dfn> (only ever has zero or one possible
+values), then skip the equality check for its elements. this is used for neutral
+terms e.g. two bound variables of the same equality type.
+
+$$
+\Rule{
+  Γ ⊢ 𝐰𝐡𝐧𝐟 \; A ↦ A' \qquad
+  Γ ⊢ A' \; 𝐬𝐮𝐛𝐬𝐢𝐧𝐠_𝐰
+}{Γ ⊢ A \; 𝐬𝐮𝐛𝐬𝐢𝐧𝐠}{subsing}
+$$
+
+$$
+\Rule{}{
+  Γ ⊢ 𝗘𝗾_{i. A} \; s \; t \; 𝐬𝐮𝐛𝐬𝐢𝐧𝐠_𝐰
+}{subsing-eq}
+$$
+
+$$
+\Rule{
+  Γ, x : A ⊢ B \; 𝐬𝐮𝐛𝐬𝐢𝐧𝐠
+}{
+  Γ ⊢ (x : A) → B \; 𝐬𝐮𝐛𝐬𝐢𝐧𝐠_𝐰
+}{subsing-Π}
+\qquad
+\Rule{
+  Γ ⊢ A \; 𝐬𝐮𝐛𝐬𝐢𝐧𝐠 \qquad
+  Γ, x : A ⊢ B \; 𝐬𝐮𝐛𝐬𝐢𝐧𝐠
+}{
+  Γ ⊢ (x : A) × B \; 𝐬𝐮𝐛𝐬𝐢𝐧𝐠_𝐰
+}{subsing-Σ}
+$$
+
+
+# reduction {#red}
+
+:::rulebox
+$$ \IN{Γ} ⊢ 𝐰𝐡𝐧𝐟 \; \IN{s} ↦ \OUT{s'} $$
+:::
+
+## terms {#tm-red}
+
+assumes that $s$ is well-typed (in some consistent cube).
+
+types and introduction forms are already in whnf. so the only case non-trivial
+case is for embedded eliminations.
+
+$$
+\Rule{Γ ⊢ 𝐰𝐡𝐧𝐟 \; e ↦ e'}{Γ ⊢ 𝐰𝐡𝐧𝐟 \; \E e ↦ \E{e'}}{whnf-embed}
+\qquad
+\Rule{\text{$t$ is not an elimination}}{Γ ⊢ 𝐰𝐡𝐧𝐟 \; t ↦ t}{whnf-none}
+$$
+
+
+:::rulebox
+$$
+\begin{gathered}
+\IN{Γ} ⊢ 𝐰𝐡𝐧𝐟 \; \IN{e} ↦ \OUT{e'} \\
+\IN{Γ} ⊢ \IN{e} ⇝ \OUT{e'}
+\end{gathered}
+$$
+:::
+
+## eliminations {#el-red}
+
+assumes that $e$ is well-typed (in some consistent cube).
+
+keep stepping the outermost expression until no more rules apply.
+
+$$ \Rule{Γ ⊢ e ⇝^! e'}{Γ ⊢ 𝐰𝐡𝐧𝐟 \; e ↦ e'}{whnf-el} $$
+
+### function application
+
+$$ \Rule{Γ ⊢ e ⇝ e'}{Γ ⊢ e \; t ⇝ e' \; t}{step-app-head} $$
+
+$$
+\Rule{}{
+  Γ ⊢ ((λx. t) : (x : A) → B) \; s ⇝ (t[(s:A)/x] : B[(s:A)/x])
+}{step-app-β}
+$$
+
+$$
+\Rule{
+  Γ ⊢ 𝐬𝐩𝐥𝐢𝐭_Π \; x \; C ↦ (A, B) \qquad
+  𝐥𝐞𝐭 \; \hat{s}[𝑗] ≔ [𝑖. A] ↓^q_𝑗 s
+}{
+  Γ ⊢ (([𝑖. C] ↓^p_q s) \; t) ⇝
+    [𝑖. B[\hat{s}[i]/x]] ↓^p_q ((t : C[p/𝑖]) \; \hat{s}[p])
+}{step-app-coe}
+$$
+
+where $\IN Γ ⊢ 𝐬𝐩𝐥𝐢𝐭_Π \; \IN{x} \; \IN{C} ↦ (\OUT A, \OUT B)$ is:
+
+$$ \Rule{}{Γ ⊢ 𝐬𝐩𝐥𝐢𝐭_Π \; x \; ((y : A) → B) ↦ (A, B[x/y])}{split-Π-con} $$
+
+$$
+\Rule{
+  Γ ⊢ 𝐭𝐲 \; e ↦ 𝒰_𝓀 \\
+  𝐥𝐞𝐭 \; A ≔ 𝘁𝘆𝗰𝗮𝘀𝗲_{𝒰_𝓀} \; e \; [Π \; x  \; \_ ↪ x \Bar \_ ↪ 𝗯𝗼𝗼𝗹] \\
+  𝐥𝐞𝐭 \; B ≔ 𝘁𝘆𝗰𝗮𝘀𝗲_{𝒰_𝓀} \; e \; [Π \; \_ \; y  ↪ y \Bar \_ ↪ 𝗯𝗼𝗼𝗹]
+}{
+  Γ ⊢ 𝐬𝐩𝐥𝐢𝐭_Π \; x \; \E e ↦ (A, B \; x)
+}{split-Π-neut}
+$$
+
+$A$ lives in $Γ$ and $B$ lives in $(Γ, x:A)$.
+
+### pair projections
+
+$$
+\Rule{Γ ⊢ e ⇝ e'}{
+  Γ ⊢ 𝗳𝘀𝘁 \; e ⇝ 𝗳𝘀𝘁 \; e' \qquad
+  Γ ⊢ 𝘀𝗻𝗱 \; e ⇝ 𝘀𝗻𝗱 \; e'
+}{step-\{fst,snd\}-head}
+$$
+
+$$
+\Rule{}{
+  Γ ⊢ 𝗳𝘀𝘁 ((s, t) : (x : A) × B) ⇝ (s : A) \\
+  Γ ⊢ 𝘀𝗻𝗱 ((s, t) : (x : A) × B) ⇝ (t : B[s/x])
+}{step-\{fst,snd\}-β}
+$$
+
+$$
+\Rule{
+  Γ ⊢ 𝐬𝐩𝐥𝐢𝐭_Σ \; x\ ; C ↦ (A, B)
+}{
+  Γ ⊢ 𝗳𝘀𝘁 ([𝑖. C] ↓^p_q s) ⇝ [𝑖. A] ↓^p_q 𝗳𝘀𝘁 \; (s : A[p/𝑖])
+}{step-fst-coe}
+$$
+
+$\IN Γ ⊢ 𝐬𝐩𝐥𝐢𝐭_Σ \; \IN{x} \; \IN{C} ↦ (\OUT A, \OUT B)$ is:
+
+$$
+\Rule{}{
+  Γ ⊢ 𝐬𝐩𝐥𝐢𝐭_Σ \; x \; ((y : A) × B) ↦ (A, B[x/y])
+}{split-Σ-con}
+\qquad
+\Rule{
+  Γ ⊢ 𝐭𝐲 \; e ↦ 𝒰_𝓀 \\
+  𝐥𝐞𝐭 \; A ≔ 𝘁𝘆𝗰𝗮𝘀𝗲_{𝒰_𝓀} \; e \; [Σ \; x \; y ↪ x \Bar \_ ↪ 𝗯𝗼𝗼𝗹] \\
+  𝐥𝐞𝐭 \; B ≔ 𝘁𝘆𝗰𝗮𝘀𝗲_{𝒰_𝓀} \; e \; [Σ \; x \; y ↪ y \Bar \_ ↪ 𝗯𝗼𝗼𝗹]
+}{
+  Γ ⊢ 𝐬𝐩𝐥𝐢𝐭_Σ \; x \; \E e ↦ (A, B \; x)
+}{split-Σ-neut}
+$$
+
+$A$ lives in $Γ$ and $B$ lives in $(Γ, x:A)$.
+
+### dimension application
+
+$$ \Rule{Γ ⊢ e ⇝ e'}{Γ ⊢ e \; p ⇝ e' \; p}{step-dapp-head} $$
+
+$$
+\Rule{}{
+  Γ ⊢ ((λ𝑖. t) : 𝗘𝗾_{𝑖. A} \; s₀ \; s₁) \; ε ⇝ (s_ε : A[ε/𝑖])
+}{step-dapp-β-end}
+$$
+
+$$
+\Rule{}{
+  Γ ⊢ ((λ𝑖. t) : 𝗘𝗾_{𝑖. A} \; s₀ \; s₁) \; 𝑗 ⇝ (t[𝑗/𝑖] : A[𝑗/𝑖])
+}{step-dapp-β-var}
+$$
+
+$$
+\Rule{
+  Γ ⊢ 𝐬𝐩𝐥𝐢𝐭_{𝗘𝗾} \; 𝑖 \; C ↦ (A₀, A₁, A, s₀, s₁)
+}{
+  Γ ⊢ ([𝑗. C] ↓^p_{p'} t) \; q ⇝
+    [𝑗. A[q/𝑖]] ↓^p_{p'} (t : (𝗘𝗾_{𝑖.A} \; s₀ \; s₁)[p/𝑗]) \;
+      [q \; 𝘄𝗶𝘁𝗵 \; 0 ↪ 𝑗. s₀ \Bar 1 ↪ 𝑗. s₁]
+}{step-dapp-coe}
+$$
+
+this heterogeneous composition is defined in @xtt in terms of composition and
+coercion.
+$\IN Γ ⊢ 𝐬𝐩𝐥𝐢𝐭_{𝗘𝗾} \; \IN 𝑖 \; \IN C ↦
+ (\OUT{A₀}, \OUT{A₁}, \OUT A, \OUT{s₀}, \OUT{s₁})$
+is:
+
+$$
+\Rule{}{
+  Γ ⊢ 𝐬𝐩𝐥𝐢𝐭_{𝗘𝗾} \; 𝑖 \; (𝗘𝗾_{j. A} \; s₀ \; s₁) ↦
+    (A[0/𝑗], A[1/𝑗], A[𝑖/𝑗], s₀, s₁)
+}{split-Eq-con}
+$$
+
+$$
+\Rule{
+  Γ ⊢ 𝐭𝐲 \; e ↦ 𝒰_𝓀 \\
+  𝐥𝐞𝐭 \; A₀ ≔ 𝘁𝘆𝗰𝗮𝘀𝗲_{𝒰_𝓀} \; e \;
+    [𝗘𝗾 \; a₀ \; a₁ \; a \; x₀ \; x₁ ↪ a₀ \Bar \_ ↪ 𝗯𝗼𝗼𝗹] \\
+  𝐥𝐞𝐭 \; A₁ ≔ 𝘁𝘆𝗰𝗮𝘀𝗲_{𝒰_𝓀} \; e \;
+    [𝗘𝗾 \; a₀ \; a₁ \; a \; x₀ \; x₁ ↪ a₁ \Bar \_ ↪ 𝗯𝗼𝗼𝗹] \\
+  𝐥𝐞𝐭 \; A ≔ 𝘁𝘆𝗰𝗮𝘀𝗲_{𝒰_𝓀} \; e \;
+    [𝗘𝗾 \; a₀ \; a₁ \; a \; x₀ \; x₁ ↪ a \Bar \_ ↪ 𝗯𝗼𝗼𝗹] \\
+  𝐥𝐞𝐭 \; s₀ ≔ 𝘁𝘆𝗰𝗮𝘀𝗲_{𝒰_𝓀} \; e \;
+    [𝗘𝗾 \; a₀ \; a₁ \; a \; x₀ \; x₁ ↪ x₀ \Bar \_ ↪ 𝗯𝗼𝗼𝗹] \\
+  𝐥𝐞𝐭 \; s₁ ≔ 𝘁𝘆𝗰𝗮𝘀𝗲_{𝒰_𝓀} \; e \;
+    [𝗘𝗾 \; a₀ \; a₁ \; a \; x₀ \; x₁ ↪ x₁ \Bar \_ ↪ 𝗯𝗼𝗼𝗹]
+}{
+  Γ ⊢ 𝐬𝐩𝐥𝐢𝐭_{𝗘𝗾} \; 𝑖 \; \E e ↦ (A₀, A₁, A \; 𝑖, s₀, s₁)
+}{split-Eq-neut}
+$$
+
+if $C$ lives in some cube $Ψ$, then $A$ lives in $(Ψ, i)$, and the others
+live in $Ψ$.
+
+### conditional
+
+$$
+\Rule{Γ ⊢ e ⇝ e'}{
+  Γ ⊢ 𝗶𝗳_{x. A} \; e \; 𝘁𝗵𝗲𝗻 \; s₀ \; 𝗲𝗹𝘀𝗲 \; s₁ ⇝
+      𝗶𝗳_{x. A} \; e' \; 𝘁𝗵𝗲𝗻 \; s₀ \; 𝗲𝗹𝘀𝗲 \; s₁}{step-if-head}
+$$
+
+$$
+\Rule{}{
+  Γ ⊢ 𝗶𝗳_{x. A} \; 𝘁𝗿𝘂𝗲:𝗯𝗼𝗼𝗹 \; 𝘁𝗵𝗲𝗻 \; s₀ \; 𝗲𝗹𝘀𝗲 \; s₁ ⇝
+      (s₀ : A[(𝘁𝗿𝘂𝗲:𝗯𝗼𝗼𝗹)/x]) \\
+  Γ ⊢ 𝗶𝗳_{x. A} \; 𝗳𝗮𝗹𝘀𝗲:𝗯𝗼𝗼𝗹 \; 𝘁𝗵𝗲𝗻 \; s₀ \; 𝗲𝗹𝘀𝗲 \; s₁ ⇝
+      (s₁ : A[(𝗳𝗮𝗹𝘀𝗲:𝗯𝗼𝗼𝗹)/x])
+}{step-if-true; step-if-false}
+$$
+
+$$
+\Rule{}{
+  Γ ⊢ 𝗶𝗳_{x.A} \; [𝑖.C] ↓^p_q t \; 𝘁𝗵𝗲𝗻 \; s₀ \; 𝗲𝗹𝘀𝗲 \; s₁ ⇝
+      𝗶𝗳_{x.A} \; t : 𝗯𝗼𝗼𝗹 \; 𝘁𝗵𝗲𝗻 \; s₀ \; 𝗲𝗹𝘀𝗲 \; s₁
+}{step-if-coe}
+$$
+
+if the expression is well-typed, as we are assuming, then $C$ can only be
+something that reduces to $𝗯𝗼𝗼𝗹$.
+
+
+### coercion
+
+$$
+\Rule{Γ ⊢ e ⇝ e'}{Γ ⊢ [𝑖. \E e] ↓^p_q s ⇝ [𝑖. \E{e'}] ↓^p_q s}{step-coe-ty}
+\qquad
+\Rule{𝑖 ∉ 𝐟𝐝𝐯 \; C}{Γ ⊢ [𝑖. C] ↓^p_q s ⇝ s : C}{step-coe-non}
+$$
+
+### composition
+
+$$
+\Rule{}{Γ ⊢ C ↓^p_p s \; [q \; 𝘄𝗶𝘁𝗵 ⋯] ⇝ s : C}{step-comp-id}
+$$
+
+$$
+\Rule{}{
+  Γ ⊢ A ↓^p_{p'} s \; [ε \; 𝘄𝗶𝘁𝗵 \; 0 ↪ 𝑗.s₀ \Bar 1 ↪ 𝑗.s₁] ⇝
+    s_ε[p'/𝑗] : A
+}{step-comp-end}
+$$
+
+### type case
+
+$$
+\Rule{Γ ⊢ e ⇝ e'}{
+  Γ ⊢ 𝘁𝘆𝗰𝗮𝘀𝗲_C \; e \; [⋯] ⇝ 𝘁𝘆𝗰𝗮𝘀𝗲_C \; e' \; [⋯]
+}{step-tycase-head}
+$$
+
+$$
+\Rule{}{
+  Γ ⊢ 𝘁𝘆𝗰𝗮𝘀𝗲_C \; 𝗯𝗼𝗼𝗹:𝒰_𝓀 \; [𝗯𝗼𝗼𝗹 ↪ s \Bar ⋯] ⇝ s : C \\
+  \begin{split}
+  Γ ⊢ 𝘁𝘆𝗰𝗮𝘀𝗲_C \; ((x : A) → B) : 𝒰_𝓀 \; [Π \; x \; y ↪ s \Bar ⋯] \\
+    {} ⇝ s[(A:𝒰_𝓀)/x, ((λx. B) : 𝒰_𝓀 → 𝒰_𝓀)/y] : C
+  \end{split} \\
+  \text{etc}
+}{step-tycase-bool; etc}
+$$
+
+### annotation
+
+$$
+\Rule{}{Γ ⊢ \E e : A ⇝ e}{step-ann-nest}
+\qquad
+\Rule{Γ ⊢ e ⇝ e'}{Γ ⊢ s : \E e ⇝ s : \E{e'}}{step-ann-ty}
+$$
+
+
+:::rulebox
+$$ \IN Γ ⊢ 𝐭𝐲 \; \IN e ↦ \OUT A $$
+:::
+
+## compute elim type {#compute-ty}
+
+assumes $Ψ \Bar Γ ⊢ e ⇒ A$ for some $Ψ$, and just recovers the $A$ without
+doing any other checking.
+
+:::aside
+yeah. im trying to remove it
+
+- __why not just pass the type in?__ \
+  that gets you e.g. the type of $f \; s$, but that isn't enough information to
+  know the type of $f$
+:::
+
+$$ \Rule{(x : A) ∈ Γ}{Γ ⊢ 𝐭𝐲 \; x ↦ A}{rety-var} $$
+
+$$
+\Rule{
+  Γ ⊢ 𝐭𝐲 \; f ↦ (x : A) → B
+}{
+  Γ ⊢ 𝐭𝐲 (f \; s) ↦ B[(s:A)/x]
+}{rety-app}
+\qquad
+\Rule{
+  Γ ⊢ 𝐭𝐲 \; e ↦ (x : A) × B
+}{
+  Γ ⊢ 𝐭𝐲 (𝗳𝘀𝘁 \; e) ↦ A \\
+  Γ ⊢ 𝐭𝐲 (𝘀𝗻𝗱 \; e) ↦ B[(𝗳𝘀𝘁 \; e)/x]
+}{rety-\{fst,snd\}}
+$$
+
+$$
+\Rule{
+  Γ ⊢ 𝐭𝐲 \; f ↦ 𝗘𝗾_{𝑖.A} \; s \; t
+}{
+  Γ ⊢ 𝐭𝐲 (f \; p) ↦ A[p/𝑖]
+}{rety-dapp}
+\qquad
+\Rule{}{
+  Γ ⊢ 𝐭𝐲 (𝗶𝗳_{x.A} \; e \; 𝘁𝗵𝗲𝗻 \; s \; 𝗲𝗹𝘀𝗲 \; t) ↦ A[e/x]
+}{rety-if}
+$$
+
+$$
+\Rule{}{
+  Γ ⊢ 𝐭𝐲 ([𝑖.C] ↓^p_q s) ↦ C[q/𝑖]
+}{rety-coe}
+\qquad
+\Rule{}{
+  Γ ⊢ 𝐭𝐲 (A ↓^p_{p'} s \; [q \; 𝘄𝗶𝘁𝗵 ⋯]) ↦ A
+}{rety-comp}
+$$
+
+$$
+\Rule{}{
+  Γ ⊢ 𝐭𝐲 (𝘁𝘆𝗰𝗮𝘀𝗲_A \; e \; [⋯]) ↦ A
+}{rety-tycase}
+$$
+
+
+# references {#refs}
diff --git a/posts-wip/2023-10-25-quox.md b/posts-wip/2023-10-25-quox.md
new file mode 100644
index 0000000..e792b2e
--- /dev/null
+++ b/posts-wip/2023-10-25-quox.md
@@ -0,0 +1,112 @@
+---
+title: quox. the language
+date: 2023-10-25
+tags: [quox, computer, types]
+bibliography: quox.bib
+link-citations: true
+show-toc: true
+...
+
+<style>
+header h1 { margin-left: 0; }
+header h1::before, header h1::after {
+  content: url(../images/qt.svg);
+  display: inline-block;
+  height: 0.75em; width: 0.75em;
+  padding: 0 0.5em;
+}
+header h1::before {
+  transform: rotateY(0.5turn);
+}
+main > :is(h1, h2, h3, h4, h5, h6)::after {
+  content: url(../images/quox-tod.png);
+  image-rendering: crisp-edges;
+  image-rendering: pixelated;
+  margin-left: 0.5em;
+}
+.qtt-q { font-family: Muller; font-weight: 600; color: #60c; }
+.xtt-x { font-family: Muller; font-weight: 600; color: #082; }
+
+#panqt {
+  --width: 202px; --height: 200px;
+}
+#panqt div {
+  width: var(--width); height: var(--height);
+  position: relative;
+}
+#panqt img, #panqt div::before {
+  position: absolute;
+  top: 0; left: 0;
+  width: var(--width); height: var(--height);
+}
+#panqt div::before {
+  content:
+    image-set(url(../images/panqt.png) 1x,
+              url(../images/panqt2x.png) 2x);
+  mix-blend-mode: multiply;
+}
+#panqt figcaption {
+  width: var(--width);
+}
+</style>
+
+
+:::{.aside .floating}
+### [hot minute][wkt]&ensp;*n.* {.unnumbered}
+
+1. A long period of time.
+2. A short period of time.
+3. An unspecified period of time.
+
+[wkt]: https://en.wiktionary.org/wiki/hot_minute
+:::
+
+for the last _hot minute_ [@hotminute], i’ve been working on a little programming language. it’s finally starting to approach a state where it can compile some programs, so maybe i should talk about it a bit.
+
+
+# what is a quox [(tl;dr for type system nerds)]{.note}
+
+<figure class=floating>
+  <img src=../images/quox.png class='shadow pixel'
+       alt='a dragon from an old arcade game'
+       title='use my warps to skip some floors!'>
+  <figcaption>this is also a quox.</figcaption>
+</figure>
+
+0. it’s a *dependently typed functional language*, like your agdas and your idrises.
+1. *[q]{.qtt-q}uantitative type theory* (qtt) [@nuttin; @qtt] is a nice combination of dependent types, resource tracking, and erasure of stuff like proofs.
+2. it uses *[x]{.xtt-x}tt* [@xtt] for equality. i think it's neat
+3. it has a *closed type universe*. you don’t define new datatypes, but the language gives you building blocks to put them together. this is because of xtt originally, but i just ran with it.
+
+so now you can see where the name [q]{.qtt-q}uo[x]{.xtt-x} comes from. other than my favourite dragon. anyway it also has
+
+4. *bidirectional type checking* [@bidi]
+5. crude-but-effective stratification [@crude; @crude-blog] for dealing with universes
+
+
+# dependent types
+
+<figure class=floating>
+  <div><img src=../images/panqt.png srcset='../images/panqt.png 2x'
+            width=202 height=200
+            alt='one of my fursonas is a quox with three heads'
+            title='i hear putting pictures of your fursona on your blog is a good way to get hacker news types Big Mad'></div>
+  <figcaption>
+    sometimes i am also a quox. or three, depending on how you count.
+  </figcaption>
+</figure>
+
+there are lots of languages with dependent types already. if you are reading this, chances are probably _quite_ high you already know what they are and can skip to the next section.
+
+`*but still something. probably*`
+
+
+# qtt
+
+sometimes, values can only be used in certain ways to make sense. this isn't controversial: it's the old use-after-free.
+
+
+# xtt
+
+
+# references {#refs}
diff --git a/posts-wip/2023-10-25-quox.md.old b/posts-wip/2023-10-25-quox.md.old
new file mode 100644
index 0000000..536dd69
--- /dev/null
+++ b/posts-wip/2023-10-25-quox.md.old
@@ -0,0 +1,177 @@
+---
+title: quox. the language
+date: 2023-10-25
+tags: [quox, computer, types]
+bibliography: quox.bib
+link-citations: true
+show-toc: true
+...
+
+<style>
+header h1 { margin-left: 0; }
+header h1::before, header h1::after {
+  content: url(../images/qt.svg);
+  display: inline-block;
+  height: 0.75em; width: 0.75em;
+  padding: 0 0.5em;
+}
+header h1::before {
+  transform: rotateY(0.5turn);
+}
+main > :is(h1, h2, h3, h4, h5, h6)::after {
+  content: url(../images/quox-tod.png);
+  image-rendering: crisp-edges;
+  image-rendering: pixelated;
+  margin-left: 0.5em;
+}
+.qtt-q { font-family: Muller; font-weight: 600; color: #60c; }
+.xtt-x { font-family: Muller; font-weight: 600; color: #082; }
+
+#panqt {
+  --width: 202px; --height: 200px;
+}
+#panqt div {
+  width: var(--width); height: var(--height);
+  position: relative;
+}
+#panqt img, #panqt div::before {
+  position: absolute;
+  top: 0; left: 0;
+  width: var(--width); height: var(--height);
+}
+#panqt div::before {
+  content:
+    image-set(url(../images/panqt.png) 1x,
+              url(../images/panqt2x.png) 2x);
+  mix-blend-mode: multiply;
+}
+#panqt figcaption {
+  width: var(--width);
+}
+</style>
+
+
+:::{.aside .floating}
+### [hot minute](https://en.wiktionary.org/wiki/hot_minute)&ensp;<i>n.</i> {.unnumbered}
+
+1. A long period of time.
+2. A short period of time.
+3. An unspecified period of time.
+:::
+
+for the last _hot minute_ [@hotminute], i’ve been working on a little programming language. it’s finally starting to approach a state where it can compile some programs, so maybe i should talk about it a bit.
+
+
+# what is a quox [(tl;dr for type system nerds)]{.note}
+
+<figure class=floating>
+  <img src=../images/quox.png class='shadow pixel'
+       alt='a dragon from an old arcade game'
+       title='use my warps to skip some floors!'>
+  <figcaption>this is also a quox.</figcaption>
+</figure>
+
+0. it’s a *dependently typed functional language*, like your agdas and your idrises.
+1. it has a *closed type universe*. you don’t define new datatypes, but the language gives you building blocks to put them together.
+2. *[q]{.qtt-q}uantitative type theory* (qtt) [@nuttin; @qtt] is a nice combination of dependent types, resource tracking, and erasure of stuff like proofs.
+3. *[x]{.xtt-x}tt* [@xtt], which `*i sure hope i remember to come back and add this!*`
+    - the closed type universe is a consequence of xtt (as well as its kinda-predecessor ott [@ott-now]), but i decided to just run with it.
+    - “xtt” stands for “extensional type theory”, but it’s not _that_ extensional type theory. i know. not my fault.
+
+so now you can see where the name [q]{.qtt-q}uo[x]{.xtt-x} comes from. other than my favourite dragon. anyway it also has
+
+<figure class=floating id=panqt>
+  <div><img src=../images/panqt.nobg.png srcset='../images/panqt.nobg2x.png 2x'
+            width=202 height=200
+            alt='one of my fursonas is a quox with three heads'
+            title='i hear putting pictures of your fursona on your blog is a good way to get hacker news types Big Mad if they find out about it'></div>
+  <figcaption>
+    sometimes i am also a quox. or three, depending on how you count.
+  </figcaption>
+</figure>
+
+4. *bidirectional type checking* [@bidi] `*this one too*`
+5. crude-but-effective stratification [@crude; @crude-blog] for dealing with universes. `*does this need more detail too?*`
+6. *written in idris2*. that doesn’t really have much impact on the language itself, other than the compilation process, but i’m enjoying using a dependently typed language for something substantial. even if it’s one you’re not currently supposed to be using for anything substantial. also currently it spits out scheme, like idris, because that was easy.
+7. all the non-ascii syntax is [optional], but i like it.
+
+[optional]: https://git.rhiannon.website/rhi/quox/wiki/ascii-syntax
+
+as for what it _doesn’t_ have: any but the most basic of conveniences. sorry.
+
+
+
+# dependent types
+
+there are lots of languages with dependent types—well, quite a few—so i won’t spend too much time on this.
+
+`*but still something*`
+
+
+# closed type universe
+
+instead of having datatypes like in normal languages, in quox you get the basic building blocks to make them. the main building blocks are functions, pairs, enumerations, equality types, strings, and natural numbers. some sort of syntactic sugar to expand a datatype declaration into this representation _is_ something i want to add, but it'd be in the pretty distant future.
+
+:::aside
+_at the moment_, natural numbers are the only recursion possible. so you can define types with the same recursive structure, like lists, but binary trees and stuff are not _currently_ possible, until i replace them with something more general. probably w-types [@nlab-wtype].
+:::
+
+but right now you can define a few types like this. see [qtt](#qtt) below for what all the `0`s and `ω`s mean. due to the lack of generic recursion, but the presence of _natural numbers_ specifically, a list is a length, followed by a nested tuple of that length (terminated by `'nil`).
+
+```quox
+def0 Vec : ℕ → ★ → ★ =
+  λ n A ⇒
+  case n return ★ of {
+    zero       ⇒ {nil};
+    succ p, As ⇒ A × As
+  } --        ↖ As = Vec p A
+
+def0 List : ★ → ★ = λ A ⇒ (n : ℕ) × Vec n A
+
+def Nil  : 0.(A : ★) → List A = λ A ⇒ (0, 'nil)
+def Cons : 0.(A : ★) → A → List A → List A =
+  λ A x xs ⇒ case xs return List A of { (len, xs) ⇒ (succ len, x, xs) }
+
+def NilS  = Nil  String
+def ConsS = Cons String
+
+def example = ConsS "im" (ConsS "gay" NilS)
+
+def0 example-eq : example ≡ (2, "im", "gay", 'nil) : List String =
+  refl (List String) example
+```
+
+you might have noticed that i didn't write the eliminator. that is because they are kind of ugly. if you want to see it anyway you can find it in [the example folder][ex].
+
+[ex]: https://git.rhiannon.website/rhi/quox/src/commit/246d80eea2/examples/list.quox#L12-L25
+
+
+# qtt
+
+sometimes, values of some type can only be used in certain ways to make sense. this is hardly controversial; if you do this with 
+
+
+a problem that dependent types used to have a lot is that the blurring of compile-time and run-time data can lead to more being retained than necessary.
+
+`*is there an example that has superlinear junk data without resorting to peano naturals or some shit*`
+
+consider this vector (length-indexed list) definition from a _hypothetical language_ with normal inductive types.
+
+```agda
+data Vect (A : ★) : ℕ → ★ where
+  []  : Vect A 0
+  _∷_ : (n : ℕ) → A → Vect A n → Vect A (succ n)
+```
+
+in a totally naive implementation, `cons` would store `n`, the length of its tail (and maybe even some kind of representation of `A` too). so a three element list would look something like
+
+
+# xtt
+
+`*mention about type-case and the closed universe*`
+
+
+# bidirectional type checking
+
+
+# references {#refs}
diff --git a/posts-wip/quox-type-system.md b/posts-wip/quox-type-system.md
new file mode 100644
index 0000000..7ea3d6c
--- /dev/null
+++ b/posts-wip/quox-type-system.md
@@ -0,0 +1,513 @@
+---
+title: quox's type system
+tags: [quox, programming]
+date: 2021-07-26
+...
+
+main inspirations:
+
+- [quantitative type theory](https://bentnib.org/quantitative-type-theory.pdf)
+  (2018\)
+    - mostly [conor's version](
+      https://personal.cis.strath.ac.uk/conor.mcbride/PlentyO-CR.pdf),
+      even though it's older (2016)
+    - track how often things are used in terms. you get linearity if you want
+      it, but also, predictable erasure
+- [graded modal dependent type theory](https://arxiv.org/pdf/2010.13163) (2021)
+    - a refinement of qtt. track occurrences in types too! your context becomes
+      two-dimensional but that's ok
+    - also the way quantities are tracked is a bit different
+- [observational type theory](
+  https://www.cs.nott.ac.uk/~psztxa/publ/obseqnow.pdf) (2007)
+    - nice middle ground between intensional and extensional type theory. you
+      get stuff like funext in a decidable setting
+- [xtt](https://arxiv.org/pdf/1904.08562.pdf)
+  ("extensional" type theory, but not that one) (2019)
+    - a cubical reformulation of the ideas in ott. no univalence stuff tho,
+      don't worry i'm still #&#x2060;UIP&#x2060;Crew
+
+<!-- those are WORD JOINERs btw, so that hopefully a screen reader will know to
+     say "hash u.i.p. crew" instead of whatever else -->
+
+the basic idea is to mash all of these things together, obviously, but also to
+embrace a closed type theory, so that stuff like the type-case in xtt can make
+sense, and try to be a nice language anyway. what's a datatype?
+
+the core then only needs to know about basic type formers like functions,
+pairs, w-types (:cold_sweat:), cubes (:cold_sweat: :cold_sweat: :cold_sweat:),
+etc, and their eliminators, instead of having to do the whole thing with
+datatypes and functions. those would still exist in an eventual surface
+language tho, since otherwise writing anything will be extremely painful, but
+elaborated to this stuff.
+
+
+# syntax
+
+:::defs
+$$
+\newcommand\EQ{\mathrel\Coloneqq}
+\newcommand\OR[1][]{\mkern17mu #1| \mkern10mu}
+\newcommand\Or{\mathrel|}
+\newcommand\KW\mathsf
+\newcommand\L\mathbfsf
+$$
+
+$$
+\newcommand\Type[1]{\KW{type}_{#1}}
+\newcommand\Tup[1]{\langle #1 \rangle}
+\newcommand\WTy{\mathbin\blacktriangleleft}
+\newcommand\WTm{\mathbin\vartriangleleft}
+\newcommand\BoxType{\mathop\blacksquare}
+\newcommand\BoxTy[1]{\mathop{\blacksquare_{#1}}}
+\newcommand\BoxTm{\mathop\square}
+\newcommand\Case{\KW{case}\:}
+\newcommand\Of{\:\KW{of}\:}
+\newcommand\Return{\:\KW{return}\:}
+\newcommand\Rec{\KW{rec}\:}
+\newcommand\With{\:\KW{with}\:}
+\newcommand\Arr{\mathrel\mapsto}
+\newcommand\TCArr{\mkern-10mu \Arr}
+\newcommand\Coe{\KW{coe}\:}
+\newcommand\Comp{\KW{comp}\:}
+\newcommand\Qty{\mathrel\diamond}
+$$
+:::
+
+bidirectional syntax. i like it.
+
+$$
+\begin{align*}
+x,y,z,X,Y,Z       &\EQ \dotsb & \text{term variables} \\
+\iota             &\EQ \dotsb & \text{dimension variables} \\
+\ell              &\EQ n      & \text{universe levels ($n \in \mathbb{N}$)} \\
+\L{a},\L{b},\L{c}, \text{etc} &\EQ \dotsb & \text{symbols} \\[.75em]
+%
+\pi,\rho,\phi,\sigma &\EQ 0 \Or 1 \Or \omega
+  & \text{quantities} \\[.75em]
+%
+q,r &\EQ \varepsilon \Or \iota & \text{dimensions} \\
+\varepsilon &\EQ 0 \Or 1 & \text{dimension endpoints} \\[.75em]
+%
+s,t,A,B &\EQ \Type\ell & \text{types \& terms: universe} \\
+        &\OR (x \Qty \pi,\rho : A) \to B \Or \lambda x. t
+            & \text{functions} \\
+        &\OR (x \Qty \rho : A) \times B \Or \Tup{s, t}
+            & \text{pairs} \\
+        &\OR (x \Qty \rho,\phi : A) \WTy B \Or s \WTm t
+            & \text{inductive data} \\
+        &\OR \{ \overline{\L{a}_i}^i \} \Or \L{a}
+            & \text{enumerations} \\
+        &\OR \BoxTy\pi A \Or \BoxTm s
+            & \text{quantity} \\
+        &\OR s =_{\iota.A} t \Or \lambda\iota.s
+            & \text{equalities} \\
+        &\OR \underline{e}
+            & \text{elimination in term} \\[.75em]
+%
+e, f &\EQ x & \text{eliminations: variable} \\
+     &\OR f \: s
+        & \text{application} \\
+     &\OR \Case e \Return z. A \Of \Tup{x, y} \Arr s
+        & \text{unpairing} \\
+     &\OR \Rec e \Return z. A \With s
+        & \text{recursion} \\
+     &\OR \Case e \Return z. A \Of
+            \{ \overline{\L{a}_i \Arr s_i}^i \}
+        & \text{enumeration} \\
+     &\OR \Case e \Return z. A \Of \BoxTm x \Arr s
+        & \text{quantity} \\
+     &\OR f \: q
+        & \text{equality application} \\
+     &\OR \Coe (\iota.A)^q_{q'} \: s
+        & \text{coercion} \\
+     &\OR[\left] \Comp A^q_{q'} \: s \:
+            \left\{
+              \begin{aligned}
+                (r=0) & \Arr \iota.t_0 \\
+                (r=1) & \Arr \iota.t_1
+              \end{aligned}
+            \right\} \right.
+        & \text{composition} \\
+     &\OR[\left] \Case e \Return A \Of
+            \left\{
+              \begin{array}{ll}
+                \Type{}                            & \TCArr t_0 \\
+                \Pi \: X \: Y                      & \TCArr t_1 \\
+                \Sigma \: X \: Y                   & \TCArr t_2 \\
+                \KW{W} \: X \: Y                   & \TCArr t_3 \\
+                \KW{Enum}                          & \TCArr t_4 \\
+                \BoxType X                         & \TCArr t_5 \\
+                \KW{Eq} \: X \: X' \: y \: z \: z' & \TCArr t_6 \\
+              \end{array}
+            \right\} \right.
+        & \text{type case} \\
+     &\OR s : A
+        & \text{annotation}
+\end{align*}
+$$
+
+__TODO wtf does all this cube stuff even mean. especially composition__
+
+i'm going to use abbreviations like $A \to_\pi B$ for $(x \Qty \pi,0 : A) \to
+B$, just $A$ for $z. A$ or $\iota. A$ in elim return types, etc for
+non-dependent stuff. $\emptyset$ means $\{\,\}$.
+
+a function type has two quantities attached to it, since unlike in qtt classique
+we care about what's going on in types too. in $(x \Qty \pi,\rho : A) \to B$,
+$x$ is used $\pi$ times in the body of a function of this type, and it's used
+$\rho$ times in $B$ itself.
+
+pairs $(x \Qty \rho : A) \times B$ only have one since it's just two things, the
+first doesn't occur in the second at all, but we still care about what's going
+on in $B$
+
+w-types $(x \Qty \rho,\phi : A) \WTy B$ also have two quantities, but in
+a different way. the $\rho$ still says how $x$ is used in $B$, but this time
+$\phi$ says how $x$ is used in $t$ in a term like $s \WTm \lambda x. t$.
+
+
+## examples of encodings
+
+also possible syntax. TODO universe & quantity polymorphism obviously
+
+```
+-- empty type
+Void : type 0 := {};
+
+absurd : (A @ 0,1 : type 0) -> Void @ 1 -> A :=
+  fun A v => case v return A of {};
+
+
+-- unit type
+Unit : type 0 := {'tt};
+
+swallow : (A @ 0,2 : type 0) -> Unit @ 1 -> A -> A :=
+  fun t x => case t return A of {'tt => x};
+
+
+-- boolean type
+Bool : type 0 := {'false; 'true};
+
+-- use 'case' for 'if'
+not : Bool @ 1 -> Bool :=
+  fun b => case b return Bool of {'false => 'true; 'true => 'false};
+
+
+-- natural numbers
+NatTag : type 0 := {'zero; 'suc};
+NatBody : NatTag @ 1 -> type 0 :=
+  fun n => case n return type 0 of {'zero => Void; 'suc => Unit};
+
+Nat : type 0 := (tag : NatTag @ 1,1) <|| NatBody tag;
+
+zero : Nat            := 'zero <| absurd;
+suc  : Nat @ 1 -> Nat := fun n => 'suc <| fun t => swallow t n;
+
+elimNat : (P @ inf,0 : Nat @ inf -> type 0) ->
+          (Z @ inf,0 : P zero) ->
+          (S @ inf,0 : (n @ 1,2 : Nat) -> P n -> P (suc n)) ->
+          (n @ inf,1 : Nat) -> P n :=
+  fun P Z S n =>
+    rec n return n₀. P n₀ with fun tag =>
+      case tag
+      return t. (f  @ inf,2 : NatBody t @ 0 -> Nat) ->
+                (IH @ inf,0 : (b @ 1 : NatBody t) -> P (f b)) ->
+                P (t <| f)
+      of {'zero => fun _ _  => Z;
+          'suc  => fun f IH => S (f 'tt) (IH 'tt)}
+```
+
+or something.&#x3000;:ghost: eliminators :ghost: w-types :ghost: \
+it's a core language and it's possible to translate a good language to
+these primitives, so try not to worry that it is impossible to write an
+elimination for a w-type correctly first try.
+
+btw, you can see in `elimNat` that the part after `with` is a partially applied
+function. this seems to be the most common pattern for dependent eliminators,
+which is why it's `rec n with s` instead of something like
+`case n of (tag <| f, IH) => s[tag,f,IH]`.
+getting rid of those `inf`s (and those in `elimNat`'s type) will need dependent
+quantities arrrg
+
+
+# type rules
+
+:::defs
+$$
+\newcommand\Q{\mathrel|}
+\newcommand\Z{\mathbf0}
+\newcommand\Chk{\mathrel\Leftarrow}
+\newcommand\Syn{\mathrel\Rightarrow}
+\newcommand\Ty[3]{\frac{\begin{matrix}#2\end{matrix}}{#3}\;\mathbfsf{#1}}
+\newcommand\AA{\textcolor{Purple}}
+\newcommand\BB{\textcolor{OliveGreen}}
+\newcommand\CC{\textcolor{RoyalBlue}}
+\newcommand\DD{\textcolor{Bittersweet}}
+\newcommand\EE{\textcolor{WildStrawberry}}
+\newcommand\FF{\textcolor{PineGreen}}
+\newcommand\GG{\textcolor{RedViolet}}
+\newcommand\HH{\textcolor{RedOrange}}
+$$
+:::
+
+:::rulebox
+$$
+\begin{gather}
+\Psi \Q \Delta \Q \Gamma \vdash
+  \AA{s} \Chk \BB{A}
+  \dashv \AA{\delta_s}; \BB{\delta_A} \\[.1em]
+\Psi \Q \Delta \Q \Gamma \vdash
+  \AA{e} \Syn \BB{A}
+  \dashv \AA{\delta_e}; \BB{\delta_A} \\
+\end{gather}
+$$
+:::
+
+ok. here we go. tybes. get ready for Density. to try and make things a little
+easier to pick out, quantities will be colour coded with where they came from.
+some of the colours are too similar. sorry.
+
+$$
+\begin{align*}
+\Gamma &\EQ \cdot \Or \Gamma, x : A
+  & \text{type context} \\
+\delta &\EQ \cdot \Or \delta, \pi x
+  & \text{quantity vector} \\
+\Delta &\EQ \cdot \Or \Delta, \delta
+  & \text{quantity context} \\
+\Psi &\EQ \cdot \Or \Psi, \iota \Or \Psi, q=r
+  & \text{cube}
+\end{align*}
+$$
+
+a context $\Gamma$ is a list of types, as always.
+
+a quantity context $\Delta$ is a triangle of how many times each type in
+$\Gamma$ uses all the previous ones. $\delta$ is a single vector of quantities,
+used for counting the quantities of everything in the subject and the subject's
+type. $0\Gamma$ means a quantity vector with the variables of $\Gamma$, with
+everything set to zero.
+
+a :ice_cube: cube :ice_cube: collects the dimension variables in scope, and
+constraints between them.
+
+the grtt paper (which doesn't have cubes) has this example (but written slightly
+differently):
+
+$$
+\left(\begin{smallmatrix}
+            \\
+  1 A       \\
+  1 A & 0 x \\
+\end{smallmatrix}\right) \Q
+  (A: \Type0, x: A, y: A) \vdash
+  \AA{x} \Syn \BB{A}
+  \dashv \AA{(0A,1x,0y)}; \BB{(1A,0x,0y)}
+$$
+
+in $\Delta$ (the big thing at the beginning):
+
+- $A$ is the first element, so there is nothing it could mention, and it has
+  just an empty list $()$.
+- $x: A$ contains $A$ once, which is the only option, so it has $(1A)$.
+- $y: A$ also mentions $A$, but not $x$, so it's $(1A,0x)$.
+
+after the type of the subject are two more quantity vectors. the first is how
+the context elements are used in the subject itself, and the second how they're
+used in its type.
+
+by the way the reason i write the judgements this way with those two vectors at
+the end is because they are outputs, so now everything before $\vdash$ is an
+input, and everything after $\dashv$ is an output. whether the type is an input
+or output varies: since the syntax is bidirectional, $s \Chk A$ means that
+the term $s$ can only be checked against a known $A$ (so it's an input), and
+$e \Syn A$ means that for an elimination $e$ the type $A$ can be inferred (so
+it's an output).
+
+## universes
+
+$$
+\Ty{type}{
+  \AA{\ell} < \BB{\ell'}
+}{
+  \Psi \Q \Delta \Q \Gamma \vdash
+    \AA{\Type\ell} \Chk \BB{\Type{\ell'}}
+    \dashv 0\Gamma; 0\Gamma
+}
+$$
+
+universes are cumulative. since we have a known universe to check against, why
+not.
+
+## functions
+
+$$
+\Ty{fun}{
+  \Psi \Q \Delta \Q \Gamma \vdash
+    \AA{A} \Chk \Type\ell
+    \dashv \AA{\delta_A}; 0\Gamma \\
+  \Psi \Q (\Delta, \AA{\delta_A}) \Q (\Gamma, x : \AA{A}) \vdash
+    \BB{B} \Chk \Type\ell
+    \dashv (\BB{\delta_B}, \EE\rho x); (0\Gamma, 0x) \\
+}{
+  \Psi \Q \Delta \Q \Gamma \vdash
+    (x \Qty \DD\pi,\EE\rho : \AA{A}) \to \BB{B} \Chk \Type\ell
+    \dashv (\AA{\delta_A} + \BB{\delta_B}); 0\Gamma
+}
+$$
+
+in formation rules like this, the type-level quantities being all zero doesn't
+actually have to be checked, since everything is being checked against
+$\Type\ell$ which never uses variables. if universe polymorphism starts existing
+that will have to be tweaked in some way. maybe rules like __lam__ will have
+$\AA{\delta_A}; \FF{\delta_\ell}$ in the output of the first premise, and
+$\CC{\delta_t}; (\AA{\delta_A} + \BB{\delta_B} + \FF{\delta_\ell})$ in the
+conclusion. something like that.
+
+$$
+\Ty{lam}{
+  \Psi \Q \Delta \Q \Gamma \vdash
+    \AA{A} \Chk \Type\ell
+    \dashv \AA{\delta_A}; 0\Gamma \\
+  \Psi \Q (\Delta, \AA{\delta_A}) \Q (\Gamma, x : \AA{A}) \vdash
+    \CC{t} \Chk \BB{B}
+    \dashv (\CC{\delta_t}; \DD\pi x); (\BB{\delta_B}; \EE\rho x) \\
+}{
+  \Psi \Q \Delta \Q \Gamma \vdash
+    \lambda x. \CC{t} \Chk (x \Qty \DD\pi,\EE\rho : \AA{A}) \to \BB{B}
+    \dashv \CC{\delta_t}; (\AA{\delta_A} + \BB{\delta_B})
+}
+$$
+
+$$
+\Ty{app}{
+  \Psi \Q \Delta \Q \Gamma \vdash
+    \FF{f} \Syn (x \Qty \DD\pi,\EE\rho : \AA{A}) \to \BB{B}
+    \dashv \FF{\delta_f}; (\AA{\delta_A} + \BB{\delta_B}) \\
+  \Psi \Q (\Delta, \AA{\delta_A}) \Q (\Gamma, x : \AA{A}) \vdash
+    \BB{B} \Chk \Type\ell
+    \dashv (\BB{\delta_B}, \EE\rho x); (0\Gamma, 0x) \\
+  \Psi \Q \Delta \Q \Gamma \vdash
+    \CC{s} \Chk \AA{A}
+    \dashv \CC{\delta_s}; \AA{\delta_A} \\
+}{
+  \Psi \Q \Delta \Q \Gamma \vdash
+    \FF{f} \: \CC{s} \Syn \BB{B}[\CC{s}/x]
+    \dashv (\FF{\delta_f} + \DD\pi\CC{\delta_s});
+           (\BB{\delta_B} + \EE\rho\CC{\delta_s})
+}
+$$
+
+the head of an application needs to inferrable, but a lambda isn't. so a
+β redex is actually going to be something like
+$\big((\lambda x. t) : (x \Qty \pi,\rho : A) \to B\big) \: t$
+with an annotation on the head. probably from an inlined definition with a type
+signature.
+
+## pairs
+
+$$
+\Ty{pair}{
+  \Psi \Q \Delta \Q \Gamma \vdash
+    \AA{A} \Chk \Type\ell
+    \dashv \AA{\delta_A}; 0\Gamma \\
+  \Psi \Q (\Delta, \AA{\delta_A}) \Q (\Gamma, x : \AA{A}) \vdash
+    \BB{B} \Chk \Type\ell
+    \dashv (\BB{\delta_B}, \EE\rho x); 0\Gamma \\
+}{
+  \Psi \Q \Delta \Q \Gamma \vdash
+    (x \Qty \EE\rho : \AA{A}) \times \BB{B} \Chk \Type\ell
+    \dashv (\AA{\delta_A} + \BB{\delta_B}); 0\Gamma
+}
+$$
+
+$$
+\Ty{comma}{
+  \Psi \Q \Delta \Q \Gamma \vdash
+    \CC{s} \Chk \AA{A}
+    \dashv \CC{\delta_s}; \AA{\delta_A} \\
+  \Psi \Q (\Delta, \AA{\delta_A}) \Q (\Gamma, x : \AA{A}) \vdash
+    \BB{B} \Chk \Type\ell
+    \dashv (\BB{\delta_B}, \EE\rho x); 0\Gamma \\
+  \Psi \Q \Delta \Q \Gamma \vdash
+    \DD{t} \Chk \BB{B}[\CC{s}/x]
+    \dashv \DD{\delta_t}; (\BB{\delta_B} + \EE\rho\CC{\delta_s}) \\
+}{
+  \Psi \Q \Delta \Q \Gamma \vdash
+    \Tup{\CC{s}, \DD{t}} \Chk (x \Qty \EE\rho : \AA{A}) \times \BB{B}
+    \dashv (\CC{\delta_s} + \DD{\delta_t}); (\AA{\delta_A} + \BB{\delta_B})
+}
+$$
+
+$$
+\Ty{casepair}{
+  \Psi \Q \Delta \Q \Gamma \vdash
+    \FF{e} \Syn (x \Qty \EE\rho : \AA{A}) \times \BB{B}
+    \dashv \FF{\delta_e}; (\AA{\delta_A} + \BB{\delta_B}) \\
+  \Psi \Q \Delta \Q \Gamma \vdash
+    \AA{A} \Chk \Type\ell
+    \dashv \AA{\delta_A}; 0\Gamma \\
+  \Psi \Q (\Delta, \AA{\delta_A}) \Q (\Gamma, x : \AA{A}) \vdash
+    \BB{B} \Chk \Type\ell
+    \dashv (\BB{\delta_B}, \EE\rho x); 0\Gamma \\
+  \Psi \Q (\Delta, \AA{\delta_A} + \BB{\delta_B})
+      \Q (\Gamma, z: (x \Qty \EE\rho : \AA{A}) \times \BB{B}) \vdash
+    \GG{C} \Chk \Type\ell
+    \dashv (\GG{\delta_C}, \HH\sigma z); 0\Gamma \\
+  \Psi \Q (\Delta, \AA{\delta_A}, (\BB{\delta_B}, \EE\rho))
+      \Q (\Gamma, x : \AA{A}, y : \BB{B}) \vdash
+    \CC{s} \Chk \GG{C}[\Tup{x, y}/z]
+    \dashv (\CC{\delta_s}, \DD\pi x, \DD\pi y);
+           (\GG{\delta_C}, \HH\sigma x, \HH\sigma y)
+}{
+  \Psi \Q \Delta \Q \Gamma \vdash
+    (\Case \FF{e} \Return z. \GG{C} \Of \Tup{x, y} \Arr \CC{s})
+      \Syn \GG{C}[\FF{e}/z]
+    \dashv (\CC{\delta_s} + \DD\pi\FF{\delta_e});
+           (\GG{\delta_C} + \HH\sigma\FF{\delta_e})
+}
+$$
+
+## inductive data
+
+:^)
+
+## enumerations
+
+$$
+\Ty{enum}{}{
+  \Psi \Q \Delta \Q \Gamma \vdash
+    \{ \overline{\L{a}_i}^i \} \Chk \Type\ell
+    \dashv 0\Gamma; 0\Gamma
+}
+$$
+
+$$
+\Ty{symbol}{
+  \L{a} \in \overline{\L{a}_i}^i
+}{
+  \Psi \Q \Delta \Q \Gamma \vdash
+    \L{a} \Chk \{ \overline{\L{a}_i}^i \}
+    \dashv 0\Gamma; 0\Gamma
+}
+$$
+
+$$
+\Ty{caseenum}{
+  \Psi \Q \Delta \Q \Gamma \vdash
+    \FF{e} \Syn \{\L{a}_i\}
+    \dashv \FF{\delta_e}; 0\Gamma \qquad
+  \overline{
+    \Psi \Q \Delta \Q \Gamma \vdash
+      \CC{s_i} \Chk \AA{A}[\L{a}_i/z]
+      \dashv \CC{\delta_s}; \AA{\delta_A}
+  }^i
+}{
+  \Psi \Q \Delta \Q \Gamma \vdash
+    \Case \FF{e} \Return z. \AA{A} \Of \{ \overline{\L{a}_i \Arr \CC{s_i}}^i \}
+    \dashv (\FF{\delta_e} + \CC{\delta_s}); \AA{\delta_A}
+}
+$$
+
+
+__TODO__ the rest
diff --git a/posts/2022-09-16-ats.md b/posts/ats.md
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diff --git a/posts/2022-07-12-beluga.md b/posts/beluga.md
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diff --git a/posts/chrismas.md b/posts/chrismas.md
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--- /dev/null
+++ b/posts/chrismas.md
@@ -0,0 +1,100 @@
+---
+date: 2023-12-25
+title: merr chrismas
+tags: [lántas, conlangs]
+conlang: laantas
+...
+
+# just tell me how to say it please
+
+sure thing. here.
+
+:::glosses
+- ufit þulkusimsari
+- [ˌufit ˈθuɫkɔsĩsɐʒi]
+- ufi-t þulkusi-m-sa-ri
+- cozy-GEN midwinter-DEF-AD-PRL
+- (be) cozy during midwinter
+:::
+
+
+# details
+
+now i am not a huge fan of putting christianity into my conlang, which is
+hopefully understandable. but having a midwinter festival sounds cute. the days
+are finally getting longer! you made it through the worst part! and so on. so
+that's what this is. i think it probably takes place the day after the solstice,
+but with several days of festivities, so that there is still a little overlap
+with the _other_ winter holiday. it's still appropriate to say it today.
+
+## seasons
+
+| time     | name          |              | pron.        | translation |
+|----------|---------------|--------------|--------------|-------------|
+| nov--jan | `{#igisim}`   | `{igisim}`   | `[ˈiʝɛsĩ]`   | the freeze  |
+| feb      | `{#susurum}`  | `{susurum}`  | `[ˈsusʊrõ]`  | the melt    |
+| mar--may | `{#šangubam}` | `{šangubam}` | `[ˈʃaŋɡɔvɑ̃]` | the bloom   |
+| jun--aug | `{#guwanḿ}`   | `{guwanḿ}`   | `[ˈɡɔwɑnm̩]`  | the sun     |
+| sep--oct | `{#santum}`   | `{santum}`   | `[ˈsantõ]`   | the rain    |
+
+- in between `{!igisim}` (winter) and `{!šangubam}` (spring), the month of
+  february is considered a transition between the two, `{!susurum}`.
+- as a result, `{!santum}` (autumn) is only two months long.
+- `{!šangubam}` comes from `{!šani}` (flower) and `{!guba}` (grow, thrive).
+
+## putting it together
+
+the word "midwinter", without any inflections, is `{!þulkusim}`, which comes
+from `{!þulku}` "be deep" and `{!igisim}`. unusually for lántas, `{!þulku}` is a
+verb, rather than a noun. why? who knows.
+
+::: {.aside .floating}
+on that page, where you see a `{ƶ}`, replace it with `{þ}`. i haven't got round
+to updating that yet. it also has the ugly text until i redraw `{!č\ ǧ\}`, since
+at least if it's all ugly it's consistent. sorry about that.
+:::
+
+the suffix `{!–sari}` is actually a pair of two suffixes, which together mean
+through, or during. the details of the whole situation are [here][loc], but it
+is a cool two-dimensional system based on a thing that can be found in some
+languages of the caucasus. the `{!–m}` on the end (of all these words so far,
+actually) is "the". so the full form `{!þulkusimsari}` means "during midwinter".
+
+now, for `{!ufit}`. there is a small, but technically non-zero, chance that you
+remember the word `{!uf{a}t}` from [here][hallow], with the meaning of "warm".
+this is actually the same word, but a bit cutesy. so, cozy.
+
+the implied verb in this sentence is `{!iksaha}`, like before. this is an
+auxiliary verb for requests. for example, if `{!šikkúha}` means "you are going",
+then `{!šikkúm iksaha}` means "please go away". the `{–ha}` here means "you"
+(singular). here it's dropped because the phrase is long enough already to be
+easily understood.
+
+so in the end, you get `{!ufit þulkusimsari}`, meaning "[stay] cozy during the
+midwinter".
+
+
+:::twocol-grid
+![](images/crismas1.png){width=100%}
+
+::: {.glosses .left}
+- þugusim ai
+- [ˈθuɣɔsĩm‿ai]
+- þugusi-m ai
+- miwiner-DEF be
+- it crismas
+:::
+
+![](images/crismas2.png){width=100%}
+
+::: {.glosses .left}
+- ufi þugusinhari
+- [ˌufi ˈθuɣɔsĩŋxɑʒi]
+- ufi-(t) þugusi-m-hari
+- cozy-(GEN) miwiner-DEF-DURIN’
+- merr crismas
+:::
+:::
+
+[loc]: https://lang.niss.website/laantas/nouns.html#locational-cases
+[hallow]: https://cohost.org/niss/post/3366713-ufat-iksaha
diff --git a/posts/2022-03-14-digitle-in-maude.md b/posts/digitle-in-maude.md
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diff --git a/quox.bib b/quox.bib
new file mode 100644
index 0000000..4243153
--- /dev/null
+++ b/quox.bib
@@ -0,0 +1,182 @@
+% quantitative stuff
+
+@inproceedings{grtt,
+  author    = {Moon, Benjamin and Eades, III, Harley and Orchard, Dominic},
+  editor    = {Yoshida, Nobuko},
+  title     = {Graded Modal Dependent Type Theory},
+  booktitle = {Programming Languages and Systems:
+               European Symposium on Programming ({ESOP})},
+  series    = {Lecture Notes in Computer Science},
+  volume    = {12648},
+  pages     = {462--490},
+  publisher = {Springer},
+  year      = {2021},
+  url       = {https://doi.org/10.1007/978-3-030-72019-3\_17},
+  doi       = {10.1007/978-3-030-72019-3\_17}
+}
+
+@inproceedings{nuttin,
+  author    = {Conor McBride},
+  editor    = {Sam Lindley and Conor McBride and
+               Philip W. Trinder and Donald Sannella},
+  title     = {I Got Plenty o' Nuttin'},
+  booktitle = {A List of Successes That Can Change the World---Essays Dedicated
+               to {P}hilip {W}adler on the Occasion of His 60th Birthday},
+  pages     = {207--233},
+  publisher = {Springer},
+  year      = {2016},
+% url       = {https://doi.org/10.1007/978-3-319-30936-1\_12},
+  url       = {https://personal.cis.strath.ac.uk/conor.mcbride/PlentyO-CR.pdf},
+}
+
+@inproceedings{qtt,
+  author    = {Robert Atkey},
+  editor    = {Anuj Dawar and
+               Erich Grädel},
+  title     = {Syntax and Semantics of Quantitative Type Theory},
+  booktitle = {Logic in Computer Science ({LICS})},
+  pages     = {56--65},
+  publisher = {{ACM}},
+  year      = {2018},
+% url       = {https://doi.org/10.1145/3209108.3209189},
+  url       = {https://bentnib.org/quantitative-type-theory.pdf}
+}
+
+
+% observational stuff
+
+@inproceedings{ott-now,
+  author    = {Thorsten Altenkirch and Conor McBride and Wouter Swierstra},
+  editor    = {Aaron Stump and Hongwei Xi},
+  title     = {Observational equality, now!},
+  booktitle = {Programming Languages meets Program Verification ({PLPV})},
+  publisher = {{ACM}},
+  year      = {2007},
+  url       = {https://www.cs.nott.ac.uk/~psztxa/publ/obseqnow.pdf},
+}
+
+@inproceedings{ott-good,
+  author    = {Loïc Pujet and Nicolas Tabareau},
+  title     = {Observational equality: now for good},
+  booktitle = {Principles of Programming Languages ({POPL})},
+  pages     = {1--27},
+  year      = {2022},
+  url       = {https://doi.org/10.1145/3498693},
+  doi       = {10.1145/3498693},
+}
+
+@inproceedings{xtt,
+  author    = {Jonathan Sterling and Carlo Angiuli and Daniel Gratzer},
+  editor    = {Herman Geuvers},
+  title     = {Cubical Syntax for Reflection-Free Extensional Equality},
+  booktitle = {Formal Structures for Computation and Deduction ({FSCD})},
+  series    = {LIPIcs},
+  volume    = {131},
+  pages     = {31:1--31:25},
+  publisher = {Schloss Dagstuhl - Leibniz-Zentrum für Informatik},
+  year      = {2019},
+% url       = {https://doi.org/10.4230/LIPIcs.FSCD.2019.31},
+  url       = {https://arxiv.org/pdf/1904.08562.pdf},
+  doi       = {10.4230/LIPIcs.FSCD.2019.31}
+}
+
+
+% Misc type stuff
+
+@misc{crude,
+  author = {McBride, Conor},
+  title  = {Crude but effective stratification (slides)},
+  url    = {https://personal.cis.strath.ac.uk/conor.mcbride/Crude.pdf},
+  note   = {Slides}
+}
+
+@misc{crude-blog,
+  author = {McBride, Conor},
+  title  = {Crude but Effective Stratification},
+  url    = {https://mazzo.li/epilogue/index.html%3Fp=857&cpage=1.html},
+  year   = {2011},
+}
+
+@inproceedings{mugen,
+  author    = {Hou (Favonia), Kuen-Bang and Angiuli, Carlo and Mullanix, Reed},
+  title     = {An Order-Theoretic Analysis of Universe Polymorphism},
+  month     = {jan},
+  year      = {2023},
+  url       = {https://doi.org/10.1145/3571250},
+  doi       = {10.1145/3571250},
+  booktitle = {Principles of Programming Languages ({POPL})},
+}
+
+@article{bidi,
+  author    = {Jana Dunfield and Neel Krishnaswami},
+  title     = {Bidirectional Typing},
+  journal   = {{ACM} Computing Surveys},
+  volume    = {54},
+  number    = {5},
+  year      = {2022},
+  url       = {https://doi.org/10.1145/3450952},
+  doi       = {10.1145/3450952},
+}
+
+
+% Misc implementation
+
+@article{expl-sub,
+  author    = {Martín Abadi and Luca Cardelli and
+               Pierre{-}Louis Curien and Jean{-}Jacques Lévy},
+  title     = {Explicit Substitutions},
+  journal   = {Journal of Functional Programming},
+  volume    = {1},
+  number    = {4},
+  pages     = {375--416},
+  year      = {1991},
+  url       = {http://lucacardelli.name/Papers/ExplicitSub.pdf}
+}
+
+% historical
+
+@inproceedings{indices,
+  author       = {Edwin C. Brady and Conor McBride and James McKinna},
+  editor       = {Stefano Berardi and Mario Coppo and Ferruccio Damiani},
+  title        = {Inductive Families Need Not Store Their Indices},
+  booktitle    = {Types for Proofs and Programs ({TYPES})},
+  series       = {Lecture Notes in Computer Science},
+  volume       = {3085},
+  pages        = {115--129},
+  publisher    = {Springer},
+  year         = {2003},
+  url          = {https://doi.org/10.1007/978-3-540-24849-1\_8},
+  doi          = {10.1007/978-3-540-24849-1\_8},
+  note = {\textit{i couldn't find a non-paywalled version, sorry!
+          but it's mostly for historical interest anyway}}
+}
+
+% blog post specific
+@misc{nlab-wtype,
+  author = {{nLab authors}},
+  title = {{W}-type},
+  howpublished = {\url{https://ncatlab.org/nlab/show/W-type}},
+  note = {\href{https://ncatlab.org/nlab/revision/W-type/47}{revision 47}},
+  month = nov,
+  year = 2023
+}
+
+@book{martinlof84,
+  author    = {Per Martin-Löf},
+  title     = {Intuitionistic type theory},
+  series    = {Studies in proof theory},
+  volume    = {1},
+  publisher = {Bibliopolis},
+  year      = {1984},
+  isbn      = {978-88-7088-228-5},
+  url       = {https://archive-pml.github.io/martin-lof/pdfs/Bibliopolis-Book-retypeset-1984.pdf}
+}
+
+% bullshit
+
+@misc{hotminute,
+  author = {{Wiktionary}},
+  title = {Hot minute},
+  year = {2023},
+  url = {https://en.wiktionary.org/wiki/hot_minute},
+}
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diff --git a/style/page.css b/style/page.css
index a88d634..9d53405 100644
--- a/style/page.css
+++ b/style/page.css
@@ -1,3 +1,4 @@
+@import url(fonts/schola/schola.css);
 @import url(fonts/muller/muller.css);
 @import url(fonts/junius/junius.css);
 @import url(fonts/pragmatapro/pragmatapro.css);
@@ -14,7 +15,7 @@
 :root {
   background: var(--root-col);
 
-  font-family: Muller;
+  font-family: schola;
   font-size: 16pt;
 
   height: 100vh;
@@ -46,36 +47,38 @@ header h1 {
 
 h1, h2, h3, h4, h5, h6 {
   margin: 1em 0 0.25em;
+  font-family: Muller;
+  clear: both;
 }
 
 h1 {
-  font-size: 200%;
-  font-weight: 200;
-}
-
-h2 {
-  font-size: 180%;
-  font-weight: 200;
-}
-
-h3 {
-  font-size: 160%;
+  font-size: 150%;
   font-weight: 300;
 }
 
-h4 {
+h2 {
   font-size: 140%;
   font-weight: 300;
 }
 
-h5 {
+h3 {
+  font-size: 130%;
+  font-weight: 300;
+}
+
+h4 {
   font-size: 120%;
+  font-weight: 300;
+}
+
+h5 {
+  font-size: 110%;
   font-weight: 400;
 }
 
 h6 {
   font-size: 100%;
-  font-weight: 400;
+  font-weight: 600;
 }
 
 header h1 {
@@ -142,6 +145,11 @@ b, strong {
   font-weight: 600;
 }
 
+dfn {
+  font-style: normal;
+  font-weight: 500;
+}
+
 ul li {
   list-style: '— ';
 }
@@ -172,6 +180,7 @@ code {
 }
 
 pre {
+  clear:      both;
   width:      min-content;
   margin:     0.5em auto;
   padding:    0.5em 0.8em;
@@ -200,9 +209,9 @@ pre {
   font-weight: 700;
 }
 
-.abbr {
+.gloss .abbr {
   font-size: 70%;
-  font-weight: 500;
+  font-weight: bold;
 }
 
 .scr {
@@ -308,6 +317,15 @@ figure li {
   break-inside: avoid;
 }
 
+figcaption {
+  font-size: 80%;
+  font-style: italic;
+  margin: auto;
+}
+:not(.floating) > figcaption {
+  width: 75%;
+}
+
 dt { font-weight: 500; float: left; clear: left; }
 dd { margin-left: 4em; }
 
@@ -336,7 +354,19 @@ u u {
   margin-top: 0;
 }
 
+.twocol-grid {
+  display: grid;
+  grid-template-columns: 1fr 1fr;
+  gap: 1em;
+  margin: 1em 0;
+}
+
+.twocol-grid .gloss {
+  margin-left: 0;
+}
+
 footer {
+  clear: both;
   margin: 1.5em auto 1em;
   padding-top: 0.5em;
 
@@ -385,24 +415,133 @@ blockquote {
 }
 
 
-aside {
+.note, aside {
   font-size: 90%;
-  margin: 0.5em 3em;
-  border-left: 2px solid var(--root-col);
-  padding-left: 1em;
 }
 
+.note {
+  font-style: italic;
+}
+
+:is(h1, h2) .note {
+  font-size: 75%;
+}
+
+aside {
+  margin: 0.5em 3em;
+  padding-left: 1em;
+}
+aside:not(.no-line) {
+  border-left: 2px solid var(--root-col);
+}
+
+aside > details summary {
+  font-weight: 600;
+}
+
+aside :is(h1, h2, h3, h4, h5, h6) {
+  margin-top: 0.25em;
+  font-weight: 600;
+}
+aside h1 { font-size: 115%; }
+aside :is(h2, h3, h4, h5, h6) { font-size: 100%; }
+
+:is(aside, figure).floating {
+  max-width: 33%;
+}
+aside.floating {
+  padding: 0.25em 0.75em;
+  margin: 0.15em 1em 0;
+}
+figure.floating {
+  margin: 0 0.5em;
+}
+
+aside.floating :first-child { margin-top: 0; }
+aside.floating :last-child { margin-bottom: 0; }
 
 .kw { color: hsl(300deg, 60%,  30%); }
 .pp { color: hsl(343deg, 100%, 40%); /* font-weight: 500; */ }
 .dt { color: hsl(173deg, 100%, 24%); /* font-weight: 500; */ }
-.fu { color: hsl(34deg,  100%, 30%); /* font-weight: 500; */ }
+.fu, .at { color: hsl(34deg,  100%, 30%); /* font-weight: 500; */ }
 .va { color: hsl(203deg, 100%, 30%); /* font-weight: 500; */ }
 .cf { color: hsl(276deg, 75%,  35%); /* font-weight: 500; */ }
 .op { color: hsl(220deg, 40%,  33%); }
-.co { color: hsl(221deg, 10%,  39%); font-style: italic; }
+.co { color: hsl(221deg, 10%,  39%); /* font-style: italic; */ }
 .bu { color: hsl(120deg, 85%,  25%); }
-:is(.st, .fl, .dv, .sc) { color: hsl(143deg, 100%, 20%); }
+.st, .fl, .dv, .bn, .sc, .ss { color: hsl(143deg, 100%, 20%); }
 .wa { color: hsl(350deg, 80%,  25%); text-decoration: wavy 1.5px underline; }
 .al { color: hsl(350deg, 80%,  25%); }
 .cn { color: hsl(343deg, 100%, 30%); }
+
+
+.floating {
+  float: right;
+  margin: 0.5em 1em 0.5em 2em;
+}
+
+.floating.left {
+  float: left;
+  margin: 0.5em 2em 0.5em 1em;
+}
+
+.shaped {
+  /* maybe one day... */
+  /* shape-outside: attr(src url); */
+  shape-margin: 1em;
+}
+
+.shadow { filter: drop-shadow(5px 5px 8px #0006); }
+
+.pixel {
+  image-rendering: crisp-edges;
+  image-rendering: pixelated;
+}
+
+
+.citation {
+  font-size: 90%;
+}
+
+#refs {
+  margin-top: 0.75em;
+}
+.csl-entry {
+  margin-left: 2em;
+  text-indent: -2em;
+}
+/*
+.csl-entry {
+  display: grid;
+  grid-template-columns: 4ch auto;
+  grid-gap: 1ex;
+}
+.csl-left-margin {
+  justify-self: end;
+}
+*/
+
+.texdefs {
+  display: none;
+}
+
+.rulebox {
+  float: right;
+  border: 1px solid var(--root-col);
+  background: #ffffff66;
+  padding: .4em 1.2em;
+}
+
+/* the last thing in the :is is for priority fuckery */
+.rulebox :is(p, .math, mjx-container, #asd) {
+  margin: 0;
+  padding: 0;
+}
+
+.clear { clear: both; }
+
+mark {
+  mix-blend-mode: multiply;
+  background: #fbc;
+  padding: 0 0.35ch;
+}
diff --git a/syntax/quox.xml b/syntax/quox.xml
new file mode 100644
index 0000000..5f06be5
--- /dev/null
+++ b/syntax/quox.xml
@@ -0,0 +1,167 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<!DOCTYPE language SYSTEM "language.dtd" [
+  <!ENTITY tok_start "(?&lt;=^|\s|[(\[{}\]),:.])">
+  <!ENTITY tok_end   "(?=$|\s|[(\[{}\]),:.])">
+  <!ENTITY hexit     "[0-9a-fA-F]">
+]>
+
+<language name="quox" section="Sources" extensions="*.quox"
+          version="1" kateversion="5.53">
+  <highlighting>
+    <list name="load"> <item>load</item> </list>
+
+    <list name="types">
+      <item>String</item>
+      <item>IOState</item>
+      <item>ℕ</item> <item>Nat</item>
+      <item>Eq</item>
+      <item>Type</item>
+    </list>
+
+    <list name="exprs">
+      <item>fst</item> <item>snd</item>
+      <item>coe</item> <item>comp</item>
+      <item>λ</item> <item>fun</item>
+      <item>δ</item> <item>dfun</item>
+      <item>return</item> <item>of</item>
+      <item>return</item> <item>of</item>
+      <item>zero</item> <item>succ</item>
+    </list>
+
+    <list name="attrs">
+      <item>fail</item>
+      <item>main</item>
+      <item>compile-scheme</item>
+    </list>
+
+    <contexts>
+      <context attribute="default" lineEndContext="#stay" name="Default">
+        <keyword attribute="load" context="#stay" String="load" />
+
+        <RegExpr attribute="defs" context="qty_suffix"
+          String="\b(def|postulate)(?=([01#]|ω)?\b)" />
+
+        <keyword attribute="types" context="#stay" String="types" />
+        <DetectChar attribute="types" context="#stay" char="★" />
+        <DetectChar attribute="types" context="#stay" char="×" />
+        <Detect2Chars attribute="types" context="#stay" char="*" char1="*" />
+        <DetectChar attribute="types" context="#stay" char="→" />
+        <Detect2Chars attribute="types" context="#stay" char="-" char1=">" />
+        <DetectChar attribute="types" context="#stay" char="≡" />
+        <Detect2Chars attribute="types" context="#stay" char="=" char1="=" />
+
+        <keyword attribute="exprs" context="#stay" String="exprs" />
+        <DetectChar attribute="exprs" context="#stay" char="∷" />
+        <Detect2Chars attribute="exprs" context="#stay" char=":" char1=":" />
+        <DetectChar attribute="exprs" context="#stay" char="," />
+        <DetectChar attribute="exprs" context="#stay" char="⇒" />
+        <Detect2Chars attribute="exprs" context="#stay" char="=" char1=">" />
+
+        <RegExpr attribute="exprs" context="qty_suffix"
+          String="\bcase(?=([01#]|ω)?\b)" />
+
+        <RegExpr attribute="hex_nat" context="#stay"
+          String="\b0[xX]&hexit;((&hexit;|_)*&hexit;)?\b(?!\.)" />
+
+        <RegExpr attribute="dec_nat" context="#stay"
+          String="\b\d((\d|_)*\d)?\b(?!\.)" />
+
+        <DetectChar attribute="string" context="String" char="&quot;" />
+
+        <Detect2Chars attribute="tag" context="Tag"
+          char="'" char1="&quot;" />
+        <RegExpr attribute="tag" context="#stay"
+          String="(?&lt;!\w|-|')'(\w|-|')+" />
+
+        <RegExpr attribute="qty" context="#stay"
+          String="\b([01#]|ω)\.(?!\d)" />
+
+        <DetectChar attribute="punc" context="#stay" char="=" />
+        <DetectChar attribute="punc" context="#stay" char="@" />
+
+        <Detect2Chars attribute="attr" context="attr" char="#" char1="[" />
+
+        <Detect2Chars attribute="comment" context="comment_s"
+          char="-" char1="-" />
+        <Detect2Chars attribute="comment" context="comment_m"
+          char="{" char1="-" />
+      </context>
+
+      <context attribute="qty" lineEndContext="#pop" name="qty_suffix">
+        <RegExpr attribute="qty" context="#stay" String="([01#]|ω)?\b" />
+        <RegExpr attribute="normal" context="#pop" String="\s|$" />
+      </context>
+
+      <context attribute="string" lineEndContext="#stay" name="String">
+        <Detect2Chars attribute="string_esc" context="#stay"
+                      char="\" char1="&quot;" />
+        <Detect2Chars attribute="string_esc" context="#stay"
+                      char="\" char1="\" />
+        <Detect2Chars attribute="string_esc" context="#stay"
+                      char="\" char1="n" />
+        <Detect2Chars attribute="string_esc" context="#stay"
+                      char="\" char1="t" />
+
+        <RegExpr attribute="string_esc" context="#stay"
+          String="\\x&hexit;+;" />
+
+        <DetectChar attribute="string" context="#pop" char="&quot;" />
+      </context>
+
+      <context attribute="tag" lineEndContext="#stay" name="Tag">
+        <Detect2Chars attribute="tag_esc" context="#stay"
+                      char="\" char1="&quot;" />
+        <Detect2Chars attribute="tag_esc" context="#stay"
+                      char="\" char1="\" />
+        <Detect2Chars attribute="tag_esc" context="#stay"
+                      char="\" char1="n" />
+        <Detect2Chars attribute="tag_esc" context="#stay"
+                      char="\" char1="t" />
+
+        <RegExpr attribute="tag_esc" context="#stay"
+          String="\\x&hexit;+;" />
+
+        <DetectChar attribute="tag" context="#pop" char="&quot;" />
+      </context>
+
+      <context attribute="attr" lineEndContext="#stay" name="attr">
+        <DetectChar attribute="string" context="String" char="&quot;" />
+        <DetectChar attribute="attr" context="attr" char="[" />
+        <DetectChar attribute="attr" context="#pop" char="]" />
+        <keyword attribute="attr_name" context="#stay" String="attrs" />
+      </context>
+
+      <context attribute="comment" lineEndContext="#pop" name="comment_s" />
+
+      <context attribute="comment" lineEndContext="#stay" name="comment_m">
+        <Detect2Chars attribute="comment" context="comment_m"
+          char="{" char1="-" />
+        <Detect2Chars attribute="comment" context="#pop"
+          char="-" char1="}" />
+      </context>
+    </contexts>
+
+    <itemDatas>
+      <itemData name="default" defStyleNum="dsNormal" />
+      <itemData name="load" defStyleNum="dsPreprocessor" />
+      <itemData name="defs" defStyleNum="dsFunction" />
+      <itemData name="types" defStyleNum="dsDataType" />
+      <itemData name="exprs" defStyleNum="dsControlFlow" />
+      <itemData name="dec_nat" defStyleNum="dsDecVal" />
+      <itemData name="hex_nat" defStyleNum="dsBaseN" />
+      <itemData name="string" defStyleNum="dsString" />
+      <itemData name="string_esc" defStyleNum="dsSpecialChar" />
+      <itemData name="tag" defStyleNum="dsSpecialString" />
+      <itemData name="tag_esc" defStyleNum="dsSpecialChar" />
+      <itemData name="qty" defStyleNum="dsBuiltIn" />
+      <itemData name="punc" defStyleNum="dsNormal" />
+      <itemData name="attr" defStyleNum="dsNormal" />
+      <itemData name="attr_name" defStyleNum="dsAttribute" />
+      <itemData name="comment" defStyleNum="dsComment" />
+    </itemDatas>
+  </highlighting>
+
+  <general>
+    <keywords casesensitive="true" weakDeliminator="-'" />
+  </general>
+</language>
diff --git a/templates/post.html b/templates/post.html
index 4023132..e525826 100644
--- a/templates/post.html
+++ b/templates/post.html
@@ -25,7 +25,7 @@ $head()$
 
 $if(show-toc)$
 <nav id=toc>
-  <h2>Contents</h2>
+  <h2>contents</h2>
   $table-of-contents$
 </nav>