Add all the syntax i could easily find

syntax/beluga.vim

@@ -3,4 +3,71 @@ if exists('b:current_syntax')
 endif
 let b:current_syntax = 'maude'
 
-setlocal iskeyword=0-9,a-z,A-Z,!,$,&,',*,+,_,/,=,@,^,-,~,#
+setlocal iskeyword=48-57,a-z,A-Z,!,$,&,',*,+,_,/,=,@,-,~,#,^
+
+syn match belArrowEtc /->\|=>\|→\|←\|⇒\||-#\?\|⊢\|\<=\>\|:/
+hi def link belArrowEtc Function
+
+syn match belBrack /[()[\]{}.;,]\|\<\/\>\||-\@!/
+hi def link belBrack Delimiter
+
+syn match belComment /%\s.*$/
+hi def link belComment Comment
+
+syn region belBlockComment start='%{' end='}%' contains=belBlockComment
+hi def link belBlockComment belComment
+
+syn keyword belUnderscore _
+hi def link belUnderscore Special
+
+syn keyword belType type
+hi def link belType Typedef
+
+syn match belPragma /\%(%\|\<--\)\%(coverage\|warncoverage\|nostrengthen\|infix\|prefix\|assoc\|name\|abbrev\|not\|open\)\>/
+hi def link belPragma Special
+
+syn keyword belDecl LF inductive coinductive fun stratified proof schema rec and
+hi def link belDecl Structure
+
+syn keyword belTotal total
+hi def link belTotal Special
+
+syn keyword belTrust trust
+hi def link belTrust Underlined
+
+syn match belIdSubst /\.\./
+hi def link belIdSubst Constant
+
+syn keyword belIdBlock some block
+hi def link belIdBlock Structure
+
+syn match belVarVar /#\l\k*/
+hi def link belVarVar Constant
+
+syn match belSubstVar /#\u\k*/
+hi def link belSubstVar String
+
+syn region belObjLam
+  \ matchgroup=belObjLamP start=/\\/ matchgroup=belArrowEtc end=/\./ transparent
+hi def link belObjLamP Define
+
+syn keyword belMetaLam FN fn mlam
+hi def link belMetaLam Define
+
+syn keyword belCase case of impossible
+hi def link belCase Keyword
+
+syn keyword belLet let in
+hi def link belLet Keyword
+
+syn match belSubBlock /\.\k\+\>/
+hi def link belSubBlock Label
+
+syn keyword belBoolType Bool
+hi def link belBoolType Typedef
+
+syn keyword belBool ttrue ffalse
+hi def link belBool Boolean
+
+syn keyword belIf if then else
+hi def link belIf Keyword