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Replace subst overloading with interfaces too (mostly)

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rhiannon morris 2023-02-20 22:22:23 +01:00
parent cb5bd6c98c
commit 1a7efc104e
6 changed files with 84 additions and 154 deletions
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8
lib/Quox/Equal.idr
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@ -349,8 +349,8 @@ parameters {auto _ : (HasDefs' q _ m, HasErr q m, Eq q)} (ctx : TyContext q d n)
defs <- ask
runReaderT {m} (MkCmpContext {mode}) $
for_ (splits ctx.dctx) $ \th =>
compare0 defs (map (/// th) ctx.tctx)
(ty /// th) (s /// th) (t /// th)
compare0 defs (map (// th) ctx.tctx)
(ty // th) (s // th) (t // th)
export covering
compareType : (s, t : Term q d n) -> m ()
@ -358,7 +358,7 @@ parameters {auto _ : (HasDefs' q _ m, HasErr q m, Eq q)} (ctx : TyContext q d n)
defs <- ask
runReaderT {m} (MkCmpContext {mode}) $
for_ (splits ctx.dctx) $ \th =>
compareType defs (map (/// th) ctx.tctx) (s /// th) (t /// th)
compareType defs (map (// th) ctx.tctx) (s // th) (t // th)
namespace Elim
||| you don't have to pass the type in but the arguments must still be
@ -369,7 +369,7 @@ parameters {auto _ : (HasDefs' q _ m, HasErr q m, Eq q)} (ctx : TyContext q d n)
defs <- ask
runReaderT {m} (MkCmpContext {mode}) $
for_ (splits ctx.dctx) $ \th =>
compare0 defs (map (/// th) ctx.tctx) (e /// th) (f /// th)
compare0 defs (map (// th) ctx.tctx) (e // th) (f // th)
namespace Term
export covering %inline

20
lib/Quox/Reduce.idr
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@ -64,17 +64,17 @@ mutual
pushSubstsWith th ph (TYPE l) =
nclo $ TYPE l
pushSubstsWith th ph (Pi qty x a body) =
nclo $ Pi qty x (subs a th ph) (subs body th ph)
nclo $ Pi qty x (a // th // ph) (body // th // ph)
pushSubstsWith th ph (Lam x body) =
nclo $ Lam x $ subs body th ph
nclo $ Lam x $ body // th // ph
pushSubstsWith th ph (Sig x a b) =
nclo $ Sig x (subs a th ph) (subs b th ph)
nclo $ Sig x (a // th // ph) (b // th // ph)
pushSubstsWith th ph (Pair s t) =
nclo $ Pair (subs s th ph) (subs t th ph)
nclo $ Pair (s // th // ph) (t // th // ph)
pushSubstsWith th ph (Eq i ty l r) =
nclo $ Eq i (subs ty th ph) (subs l th ph) (subs r th ph)
nclo $ Eq i (ty // th // ph) (l // th // ph) (r // th // ph)
pushSubstsWith th ph (DLam i body) =
nclo $ DLam i $ subs body th ph
nclo $ DLam i $ body // th // ph
pushSubstsWith th ph (E e) =
let Element e nc = pushSubstsWith th ph e in nclo $ E e
pushSubstsWith th ph (CloT s ps) =
@ -92,13 +92,13 @@ mutual
Left yes => assert_total pushSubsts res
Right no => Element res no
pushSubstsWith th ph (f :@ s) =
nclo $ subs f th ph :@ subs s th ph
nclo $ (f // th // ph) :@ (s // th // ph)
pushSubstsWith th ph (CasePair pi p x r y z b) =
nclo $ CasePair pi (subs p th ph) x (subs r th ph) y z (subs b th ph)
nclo $ CasePair pi (p // th // ph) x (r // th // ph) y z (b // th // ph)
pushSubstsWith th ph (f :% d) =
nclo $ subs f th ph :% (d // th)
nclo $ (f // th // ph) :% (d // th)
pushSubstsWith th ph (s :# a) =
nclo $ subs s th ph :# subs a th ph
nclo $ (s // th // ph) :# (a // th // ph)
pushSubstsWith th ph (CloE e ps) =
pushSubstsWith th (comp th ps ph) e
pushSubstsWith th ph (DCloE e ps) =

2
lib/Quox/Syntax/Dim.idr
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@ -91,7 +91,7 @@ CanShift Dim where
B i // by = B (i // by)
export
CanSubst Dim Dim where
CanSubstSelf Dim where
K e // _ = K e
B i // th = th !! i

16
lib/Quox/Syntax/Subst.idr
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@ -36,12 +36,8 @@ export Ord (f to) => Ord (Subst f from to) where compare = compare `on` repr
infixl 8 //
public export
interface FromVar env => CanSubst env term where
(//) : term from -> Lazy (Subst env from to) -> term to
public export
CanSubst1 : (Nat -> Type) -> Type
CanSubst1 f = CanSubst f f
interface FromVar term => CanSubstSelf term where
(//) : term from -> Lazy (Subst term from to) -> term to
infixl 8 !!
@ -53,7 +49,7 @@ public export
public export
CanSubst Var Var where
CanSubstSelf Var where
i // Shift by = shift by i
VZ // (t ::: th) = t
VS i // (t ::: th) = i // th
@ -66,7 +62,7 @@ shift by = Shift $ fromNat by
infixl 9 .
public export
(.) : CanSubst1 f => Subst f from mid -> Subst f mid to -> Subst f from to
(.) : CanSubstSelf f => Subst f from mid -> Subst f mid to -> Subst f from to
Shift by . Shift bz = Shift $ by . bz
Shift SZ . ph = ph
Shift (SS by) . (t ::: th) = Shift by . th
@ -83,12 +79,12 @@ map f (t ::: th) = f t ::: map f th
public export %inline
push : CanSubst1 f => Subst f from to -> Subst f (S from) (S to)
push : CanSubstSelf f => Subst f from to -> Subst f (S from) (S to)
push th = fromVar VZ ::: (th . shift 1)
-- [fixme] a better way to do this?
public export
pushN : CanSubst1 f => (s : Nat) ->
pushN : CanSubstSelf f => (s : Nat) ->
Subst f from to -> Subst f (s + from) (s + to)
pushN 0 th = th
pushN (S s) th =

190
lib/Quox/Syntax/Term/Subst.idr
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@ -5,62 +5,60 @@ import Data.Vect
%default total
namespace CanDSubst
public export
interface CanDSubst (0 tm : Nat -> Nat -> Type) where
(//) : tm dfrom n -> Lazy (DSubst dfrom dto) -> tm dto n
infixl 8 ///
mutual
namespace Term
||| does the minimal reasonable work:
||| - deletes the closure around an atomic constant like `TYPE`
||| - deletes an identity substitution
||| - composes (lazily) with an existing top-level dim-closure
||| - otherwise, wraps in a new closure
export
(///) : Term q dfrom n -> DSubst dfrom dto -> Term q dto n
s /// Shift SZ = s
TYPE l /// _ = TYPE l
DCloT s ph /// th = DCloT s $ ph . th
s /// th = DCloT s th
||| does the minimal reasonable work:
||| - deletes the closure around an atomic constant like `TYPE`
||| - deletes an identity substitution
||| - composes (lazily) with an existing top-level dim-closure
||| - otherwise, wraps in a new closure
export
CanDSubst (Term q) where
s // Shift SZ = s
TYPE l // _ = TYPE l
DCloT s ph // th = DCloT s $ ph . th
s // th = DCloT s th
namespace Elim
private
subDArgs : Elim q dfrom n -> DSubst dfrom dto -> Elim q dto n
subDArgs (f :% d) th = subDArgs f th :% (d // th)
subDArgs e th = DCloE e th
private
subDArgs : Elim q dfrom n -> DSubst dfrom dto -> Elim q dto n
subDArgs (f :% d) th = subDArgs f th :% (d // th)
subDArgs e th = DCloE e th
||| does the minimal reasonable work:
||| - deletes the closure around a term variable
||| - deletes an identity substitution
||| - composes (lazily) with an existing top-level dim-closure
||| - immediately looks up bound variables in a
||| top-level sequence of dimension applications
||| - otherwise, wraps in a new closure
export
(///) : Elim q dfrom n -> DSubst dfrom dto -> Elim q dto n
e /// Shift SZ = e
F x /// _ = F x
B i /// _ = B i
f :% d /// th = subDArgs (f :% d) th
DCloE e ph /// th = DCloE e $ ph . th
e /// th = DCloE e th
||| does the minimal reasonable work:
||| - deletes the closure around a term variable
||| - deletes an identity substitution
||| - composes (lazily) with an existing top-level dim-closure
||| - immediately looks up bound variables in a
||| top-level sequence of dimension applications
||| - otherwise, wraps in a new closure
export
CanDSubst (Elim q) where
e // Shift SZ = e
F x // _ = F x
B i // _ = B i
f :% d // th = subDArgs (f :% d) th
DCloE e ph // th = DCloE e $ ph . th
e // th = DCloE e th
namespace ScopeTermN
export
(///) : ScopeTermN s q dfrom n -> DSubst dfrom dto -> ScopeTermN s q dto n
TUsed body /// th = TUsed $ body /// th
TUnused body /// th = TUnused $ body /// th
export
CanDSubst (ScopeTermN s q) where
TUsed body // th = TUsed $ body // th
TUnused body // th = TUnused $ body // th
namespace DScopeTermN
export
(///) : {s : Nat} ->
DScopeTermN s q dfrom n -> DSubst dfrom dto ->
DScopeTermN s q dto n
DUsed body /// th = DUsed $ body /// pushN s th
DUnused body /// th = DUnused $ body /// th
export
{s : Nat} -> CanDSubst (DScopeTermN s q) where
DUsed body // th = DUsed $ body // pushN s th
DUnused body // th = DUnused $ body // th
export %inline FromVar (Elim q d) where fromVar = B
export %inline FromVar (Term q d) where fromVar = E . fromVar
||| does the minimal reasonable work:
||| - deletes the closure around a *free* name
||| - deletes an identity substitution
@ -68,7 +66,7 @@ export %inline FromVar (Term q d) where fromVar = E . fromVar
||| - immediately looks up a bound variable
||| - otherwise, wraps in a new closure
export
CanSubst (Elim q d) (Elim q d) where
CanSubstSelf (Elim q d) where
F x // _ = F x
B i // th = th !! i
CloE e ph // th = assert_total CloE e $ ph . th
@ -76,6 +74,11 @@ CanSubst (Elim q d) (Elim q d) where
Shift SZ => e
th => CloE e th
namespace CanTSubst
public export
interface CanTSubst (0 tm : TermLike) where
(//) : tm q d from -> Lazy (TSubst q d from to) -> tm q d to
||| does the minimal reasonable work:
||| - deletes the closure around an atomic constant like `TYPE`
||| - deletes an identity substitution
@ -83,7 +86,7 @@ CanSubst (Elim q d) (Elim q d) where
||| - goes inside `E` in case it is a simple variable or something
||| - otherwise, wraps in a new closure
export
CanSubst (Elim q d) (Term q d) where
CanTSubst Term where
TYPE l // _ = TYPE l
E e // th = E $ e // th
CloT s ph // th = CloT s $ ph . th
@ -92,114 +95,45 @@ CanSubst (Elim q d) (Term q d) where
th => CloT s th
export %inline
{s : Nat} -> CanSubst (Elim q d) (ScopeTermN s q d) where
{s : Nat} -> CanTSubst (ScopeTermN s) where
TUsed body // th = TUsed $ body // pushN s th
TUnused body // th = TUnused $ body // th
export %inline
{s : Nat} -> CanSubst (Elim q d) (DScopeTermN s q d) where
DUsed body // th = DUsed $ body // map (/// shift s) th
{s : Nat} -> CanTSubst (DScopeTermN s) where
DUsed body // th = DUsed $ body // map (// shift s) th
DUnused body // th = DUnused $ body // th
export %inline CanSubst Var (Term q d) where s // th = s // map (B {q, d}) th
export %inline CanSubst Var (Elim q d) where e // th = e // map (B {q, d}) th
export %inline
{s : Nat} -> CanSubst Var (ScopeTermN s q d) where
b // th = b // map (B {q, d}) th
export %inline
{s : Nat} -> CanSubst Var (DScopeTermN s q d) where
b // th = b // map (B {q, d}) th
infixl 8 //., ///
mutual
namespace Term
||| applies a term substitution with a less ambiguous type
export %inline
(//.) : Term q d from -> TSubst q d from to -> Term q d to
t //. th = t // th
||| applies a term and dimension substitution
public export %inline
subs : Term q dfrom from -> DSubst dfrom dto -> TSubst q dto from to ->
Term q dto to
subs s th ph = s /// th // ph
namespace Elim
||| applies a term substitution with a less ambiguous type
export %inline
(//.) : Elim q d from -> TSubst q d from to -> Elim q d to
e //. th = e // th
||| applies a term and dimension substitution
public export %inline
subs : Elim q dfrom from -> DSubst dfrom dto -> TSubst q dto from to ->
Elim q dto to
subs e th ph = e /// th // ph
namespace ScopeTermN
||| applies a term substitution with a less ambiguous type
export %inline
(//.) : {s : Nat} ->
ScopeTermN s q d from -> TSubst q d from to ->
ScopeTermN s q d to
body //. th = body // th
||| applies a term and dimension substitution
public export %inline
subs : {s : Nat} ->
ScopeTermN s q dfrom from ->
DSubst dfrom dto -> TSubst q dto from to ->
ScopeTermN s q dto to
subs body th ph = body /// th // ph
namespace DScopeTermN
||| applies a term substitution with a less ambiguous type
export %inline
(//.) : {s : Nat} -> DScopeTermN s q d from -> TSubst q d from to ->
DScopeTermN s q d to
body //. th = body // th
||| applies a term and dimension substitution
public export %inline
subs : {s : Nat} ->
DScopeTermN s q dfrom from ->
DSubst dfrom dto -> TSubst q dto from to ->
DScopeTermN s q dto to
subs body th ph = body /// th // ph
export %inline CanShift (Term q d) where s // by = s //. Shift by
export %inline CanShift (Elim q d) where e // by = e //. Shift by
export %inline CanShift (Term q d) where s // by = s // Shift by
export %inline CanShift (Elim q d) where e // by = e // Shift by
export %inline
{s : Nat} -> CanShift (ScopeTermN s q d) where
b // by = b //. Shift by
b // by = b // Shift by
export %inline
comp : DSubst dfrom dto -> TSubst q dfrom from mid -> TSubst q dto mid to ->
TSubst q dto from to
comp th ps ph = map (/// th) ps . ph
comp th ps ph = map (// th) ps . ph
public export %inline
dweakT : {by : Nat} -> Term q d n -> Term q (by + d) n
dweakT t = t /// shift by
dweakT t = t // shift by
public export %inline
dweakE : {by : Nat} -> Elim q d n -> Elim q (by + d) n
dweakE t = t /// shift by
dweakE t = t // shift by
public export %inline
weakT : {default 1 by : Nat} -> Term q d n -> Term q d (by + n)
weakT t = t //. shift by
weakT t = t // shift by
public export %inline
weakE : {default 1 by : Nat} -> Elim q d n -> Elim q d (by + n)
weakE t = t //. shift by
weakE t = t // shift by
namespace ScopeTermN
@ -226,7 +160,7 @@ sub1 t e = subN t [e]
export %inline
dsubN : DScopeTermN s q d n -> Vect s (Dim d) -> Term q d n
dsubN (DUsed body) ps = body /// fromVect ps
dsubN (DUsed body) ps = body // fromVect ps
dsubN (DUnused body) _ = body
export %inline

2
lib/Quox/Typing.idr
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@ -38,7 +38,7 @@ record TyContext q d n where
namespace TContext
export %inline
pushD : TContext q d n -> TContext q (S d) n
pushD tel = map (/// shift 1) tel
pushD tel = map (// shift 1) tel
namespace TyContext
public export %inline