-(* Copyright (C) 2000, HELM Team.
+(* Copyright (C) 2002, HELM Team.
*
* This file is part of HELM, an Hypertextual, Electronic
* Library of Mathematics, developed at the Computer Science
(* The code of this module is derived from the code of CicReduction *)
exception Impossible of int;;
-exception ReferenceToDefinition;;
-exception ReferenceToAxiom;;
+exception ReferenceToConstant;;
exception ReferenceToVariable;;
exception ReferenceToCurrentProof;;
exception ReferenceToInductiveDefinition;;
exception WrongUriToInductiveDefinition;;
+exception RelToHiddenHypothesis;;
+
+let alpha_equivalence =
+ let module C = Cic in
+ let rec aux t t' =
+ if t = t' then true
+ else
+ match t,t' with
+ C.Var (uri1,exp_named_subst1), C.Var (uri2,exp_named_subst2) ->
+ UriManager.eq uri1 uri2 &&
+ aux_exp_named_subst exp_named_subst1 exp_named_subst2
+ | C.Cast (te,ty), C.Cast (te',ty') ->
+ aux te te' && aux ty ty'
+ | C.Prod (_,s,t), C.Prod (_,s',t') ->
+ aux s s' && aux t t'
+ | C.Lambda (_,s,t), C.Lambda (_,s',t') ->
+ aux s s' && aux t t'
+ | C.LetIn (_,s,t), C.LetIn(_,s',t') ->
+ aux s s' && aux t t'
+ | C.Appl l, C.Appl l' ->
+ (try
+ List.fold_left2
+ (fun b t1 t2 -> b && aux t1 t2) true l l'
+ with
+ Invalid_argument _ -> false)
+ | C.Const (uri,exp_named_subst1), C.Const (uri',exp_named_subst2) ->
+ UriManager.eq uri uri' &&
+ aux_exp_named_subst exp_named_subst1 exp_named_subst2
+ | C.MutInd (uri,i,exp_named_subst1), C.MutInd (uri',i',exp_named_subst2) ->
+ UriManager.eq uri uri' && i = i' &&
+ aux_exp_named_subst exp_named_subst1 exp_named_subst2
+ | C.MutConstruct (uri,i,j,exp_named_subst1),
+ C.MutConstruct (uri',i',j',exp_named_subst2) ->
+ UriManager.eq uri uri' && i = i' && j = j' &&
+ aux_exp_named_subst exp_named_subst1 exp_named_subst2
+ | C.MutCase (sp,i,outt,t,pl), C.MutCase (sp',i',outt',t',pl') ->
+ UriManager.eq sp sp' && i = i' &&
+ aux outt outt' && aux t t' &&
+ (try
+ List.fold_left2
+ (fun b t1 t2 -> b && aux t1 t2) true pl pl'
+ with
+ Invalid_argument _ -> false)
+ | C.Fix (i,fl), C.Fix (i',fl') ->
+ i = i' &&
+ (try
+ List.fold_left2
+ (fun b (_,i,ty,bo) (_,i',ty',bo') ->
+ b && i = i' && aux ty ty' && aux bo bo'
+ ) true fl fl'
+ with
+ Invalid_argument _ -> false)
+ | C.CoFix (i,fl), C.CoFix (i',fl') ->
+ i = i' &&
+ (try
+ List.fold_left2
+ (fun b (_,ty,bo) (_,ty',bo') ->
+ b && aux ty ty' && aux bo bo'
+ ) true fl fl'
+ with
+ Invalid_argument _ -> false)
+ | _,_ -> false (* we already know that t != t' *)
+ and aux_exp_named_subst exp_named_subst1 exp_named_subst2 =
+ try
+ List.fold_left2
+ (fun b (uri1,t1) (uri2,t2) ->
+ b && UriManager.eq uri1 uri2 && aux t1 t2
+ ) true exp_named_subst1 exp_named_subst2
+ with
+ Invalid_argument _ -> false
+ in
+ aux
+;;
(* "textual" replacement of a subterm with another one *)
-let replace ~what ~with_what ~where =
+let replace ~equality ~what ~with_what ~where =
let module C = Cic in
let rec aux =
function
- t when t = what -> with_what
+ t when (equality t what) -> with_what
| C.Rel _ as t -> t
- | C.Var _ as t -> t
+ | C.Var (uri,exp_named_subst) ->
+ C.Var (uri,List.map (function (uri,t) -> uri, aux t) exp_named_subst)
| C.Meta _ as t -> t
| C.Sort _ as t -> t
| C.Implicit as t -> t
| C.Prod (n,s,t) -> C.Prod (n, aux s, aux t)
| C.Lambda (n,s,t) -> C.Lambda (n, aux s, aux t)
| C.LetIn (n,s,t) -> C.LetIn (n, aux s, aux t)
- | C.Appl l -> C.Appl (List.map aux l)
- | C.Const _ as t -> t
- | C.Abst _ as t -> t
- | C.MutInd _ as t -> t
- | C.MutConstruct _ as t -> t
- | C.MutCase (sp,cookingsno,i,outt,t,pl) ->
- C.MutCase (sp,cookingsno,i,aux outt, aux t,
- List.map aux pl)
+ | C.Appl l ->
+ (* Invariant enforced: no application of an application *)
+ (match List.map aux l with
+ (C.Appl l')::tl -> C.Appl (l'@tl)
+ | l' -> C.Appl l')
+ | C.Const (uri,exp_named_subst) ->
+ C.Const (uri,List.map (function (uri,t) -> uri, aux t) exp_named_subst)
+ | C.MutInd (uri,i,exp_named_subst) ->
+ C.MutInd
+ (uri,i,List.map (function (uri,t) -> uri, aux t) exp_named_subst)
+ | C.MutConstruct (uri,i,j,exp_named_subst) ->
+ C.MutConstruct
+ (uri,i,j,List.map (function (uri,t) -> uri, aux t) exp_named_subst)
+ | C.MutCase (sp,i,outt,t,pl) ->
+ C.MutCase (sp,i,aux outt, aux t,List.map aux pl)
| C.Fix (i,fl) ->
let substitutedfl =
List.map
aux where
;;
+(* replaces in a term a term with another one. *)
+(* Lifting are performed as usual. *)
+let replace_lifting ~equality ~what ~with_what ~where =
+ let rec substaux k what =
+ let module C = Cic in
+ let module S = CicSubstitution in
+ function
+ t when (equality t what) -> S.lift (k-1) with_what
+ | C.Rel n as t -> t
+ | C.Var (uri,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function (uri,t) -> uri,substaux k what t) exp_named_subst
+ in
+ C.Var (uri,exp_named_subst')
+ | C.Meta (i, l) as t ->
+ let l' =
+ List.map
+ (function
+ None -> None
+ | Some t -> Some (substaux k what t)
+ ) l
+ in
+ C.Meta(i,l')
+ | C.Sort _ as t -> t
+ | C.Implicit as t -> t
+ | C.Cast (te,ty) -> C.Cast (substaux k what te, substaux k what ty)
+ | C.Prod (n,s,t) ->
+ C.Prod (n, substaux k what s, substaux (k + 1) (S.lift 1 what) t)
+ | C.Lambda (n,s,t) ->
+ C.Lambda (n, substaux k what s, substaux (k + 1) (S.lift 1 what) t)
+ | C.LetIn (n,s,t) ->
+ C.LetIn (n, substaux k what s, substaux (k + 1) (S.lift 1 what) t)
+ | C.Appl (he::tl) ->
+ (* Invariant: no Appl applied to another Appl *)
+ let tl' = List.map (substaux k what) tl in
+ begin
+ match substaux k what he with
+ C.Appl l -> C.Appl (l@tl')
+ | _ as he' -> C.Appl (he'::tl')
+ end
+ | C.Appl _ -> assert false
+ | C.Const (uri,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function (uri,t) -> uri,substaux k what t) exp_named_subst
+ in
+ C.Const (uri,exp_named_subst')
+ | C.MutInd (uri,i,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function (uri,t) -> uri,substaux k what t) exp_named_subst
+ in
+ C.MutInd (uri,i,exp_named_subst')
+ | C.MutConstruct (uri,i,j,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function (uri,t) -> uri,substaux k what t) exp_named_subst
+ in
+ C.MutConstruct (uri,i,j,exp_named_subst')
+ | C.MutCase (sp,i,outt,t,pl) ->
+ C.MutCase (sp,i,substaux k what outt, substaux k what t,
+ List.map (substaux k what) pl)
+ | C.Fix (i,fl) ->
+ let len = List.length fl in
+ let substitutedfl =
+ List.map
+ (fun (name,i,ty,bo) ->
+ (name, i, substaux k what ty, substaux (k+len) (S.lift len what) bo))
+ fl
+ in
+ C.Fix (i, substitutedfl)
+ | C.CoFix (i,fl) ->
+ let len = List.length fl in
+ let substitutedfl =
+ List.map
+ (fun (name,ty,bo) ->
+ (name, substaux k what ty, substaux (k+len) (S.lift len what) bo))
+ fl
+ in
+ C.CoFix (i, substitutedfl)
+ in
+ substaux 1 what where
+;;
+
(* Takes a well-typed term and fully reduces it. *)
(*CSC: It does not perform reduction in a Case *)
-let reduce =
- let rec reduceaux l =
+let reduce context =
+ let rec reduceaux context l =
let module C = Cic in
let module S = CicSubstitution in
function
- C.Rel _ as t -> if l = [] then t else C.Appl (t::l)
- | C.Var uri as t ->
- (match CicEnvironment.get_cooked_obj uri 0 with
- C.Definition _ -> raise ReferenceToDefinition
- | C.Axiom _ -> raise ReferenceToAxiom
+ C.Rel n as t ->
+ (match List.nth context (n-1) with
+ Some (_,C.Decl _) -> if l = [] then t else C.Appl (t::l)
+ | Some (_,C.Def bo) -> reduceaux context l (S.lift n bo)
+ | None -> raise RelToHiddenHypothesis
+ )
+ | C.Var (uri,exp_named_subst) ->
+ let exp_named_subst' =
+ reduceaux_exp_named_subst context l exp_named_subst
+ in
+ (match CicEnvironment.get_obj uri with
+ C.Constant _ -> raise ReferenceToConstant
| C.CurrentProof _ -> raise ReferenceToCurrentProof
| C.InductiveDefinition _ -> raise ReferenceToInductiveDefinition
- | C.Variable (_,None,_) -> if l = [] then t else C.Appl (t::l)
- | C.Variable (_,Some body,_) -> reduceaux l body
+ | C.Variable (_,None,_,_) ->
+ let t' = C.Var (uri,exp_named_subst') in
+ if l = [] then t' else C.Appl (t'::l)
+ | C.Variable (_,Some body,_,_) ->
+ (reduceaux context l
+ (CicSubstitution.subst_vars exp_named_subst' body))
)
| C.Meta _ as t -> if l = [] then t else C.Appl (t::l)
| C.Sort _ as t -> t (* l should be empty *)
| C.Implicit as t -> t
- | C.Cast (te,ty) -> reduceaux l te (*CSC E' GIUSTO BUTTARE IL CAST? *)
+ | C.Cast (te,ty) ->
+ C.Cast (reduceaux context l te, reduceaux context l ty)
| C.Prod (name,s,t) ->
assert (l = []) ;
- C.Prod (name, reduceaux [] s, reduceaux [] t)
+ C.Prod (name,
+ reduceaux context [] s,
+ reduceaux ((Some (name,C.Decl s))::context) [] t)
| C.Lambda (name,s,t) ->
(match l with
- [] -> C.Lambda (name, reduceaux [] s, reduceaux [] t)
- | he::tl -> reduceaux tl (S.subst he t)
+ [] ->
+ C.Lambda (name,
+ reduceaux context [] s,
+ reduceaux ((Some (name,C.Decl s))::context) [] t)
+ | he::tl -> reduceaux context tl (S.subst he t)
(* when name is Anonimous the substitution should be superfluous *)
)
- | C.LetIn (n,s,t) -> reduceaux l (S.subst (reduceaux [] s) t)
+ | C.LetIn (n,s,t) ->
+ reduceaux context l (S.subst (reduceaux context [] s) t)
| C.Appl (he::tl) ->
- let tl' = List.map (reduceaux []) tl in
- reduceaux (tl'@l) he
+ let tl' = List.map (reduceaux context []) tl in
+ reduceaux context (tl'@l) he
| C.Appl [] -> raise (Impossible 1)
- | C.Const (uri,cookingsno) as t ->
- (match CicEnvironment.get_cooked_obj uri cookingsno with
- C.Definition (_,body,_,_) -> reduceaux l body
- | C.Axiom _ -> if l = [] then t else C.Appl (t::l)
- | C.Variable _ -> raise ReferenceToVariable
- | C.CurrentProof (_,_,body,_) -> reduceaux l body
- | C.InductiveDefinition _ -> raise ReferenceToInductiveDefinition
- )
- | C.Abst _ as t -> t (*CSC l should be empty ????? *)
- | C.MutInd (uri,_,_) as t -> if l = [] then t else C.Appl (t::l)
- | C.MutConstruct (uri,_,_,_) as t -> if l = [] then t else C.Appl (t::l)
- | C.MutCase (mutind,cookingsno,i,outtype,term,pl) ->
+ | C.Const (uri,exp_named_subst) ->
+ let exp_named_subst' =
+ reduceaux_exp_named_subst context l exp_named_subst
+ in
+ (match CicEnvironment.get_obj uri with
+ C.Constant (_,Some body,_,_) ->
+ (reduceaux context l
+ (CicSubstitution.subst_vars exp_named_subst' body))
+ | C.Constant (_,None,_,_) ->
+ let t' = C.Const (uri,exp_named_subst') in
+ if l = [] then t' else C.Appl (t'::l)
+ | C.Variable _ -> raise ReferenceToVariable
+ | C.CurrentProof (_,_,body,_,_) ->
+ (reduceaux context l
+ (CicSubstitution.subst_vars exp_named_subst' body))
+ | C.InductiveDefinition _ -> raise ReferenceToInductiveDefinition
+ )
+ | C.MutInd (uri,i,exp_named_subst) ->
+ let exp_named_subst' =
+ reduceaux_exp_named_subst context l exp_named_subst
+ in
+ let t' = C.MutInd (uri,i,exp_named_subst') in
+ if l = [] then t' else C.Appl (t'::l)
+ | C.MutConstruct (uri,i,j,exp_named_subst) as t ->
+ let exp_named_subst' =
+ reduceaux_exp_named_subst context l exp_named_subst
+ in
+ let t' = C.MutConstruct (uri,i,j,exp_named_subst') in
+ if l = [] then t' else C.Appl (t'::l)
+ | C.MutCase (mutind,i,outtype,term,pl) ->
let decofix =
function
C.CoFix (i,fl) as t ->
- let (_,_,body) = List.nth fl i in
- let body' =
- let counter = ref (List.length fl) in
- List.fold_right
- (fun _ -> decr counter ; S.subst (C.CoFix (!counter,fl)))
- fl
- body
- in
- reduceaux [] body'
+ let tys =
+ List.map (function (name,ty,_) -> Some (C.Name name, C.Decl ty)) fl
+ in
+ let (_,_,body) = List.nth fl i in
+ let body' =
+ let counter = ref (List.length fl) in
+ List.fold_right
+ (fun _ -> decr counter ; S.subst (C.CoFix (!counter,fl)))
+ fl
+ body
+ in
+ reduceaux (tys@context) [] body'
| C.Appl (C.CoFix (i,fl) :: tl) ->
- let (_,_,body) = List.nth fl i in
- let body' =
- let counter = ref (List.length fl) in
- List.fold_right
- (fun _ -> decr counter ; S.subst (C.CoFix (!counter,fl)))
- fl
- body
- in
- let tl' = List.map (reduceaux []) tl in
- reduceaux tl body'
+ let tys =
+ List.map (function (name,ty,_) -> Some (C.Name name, C.Decl ty)) fl
+ in
+ let (_,_,body) = List.nth fl i in
+ let body' =
+ let counter = ref (List.length fl) in
+ List.fold_right
+ (fun _ -> decr counter ; S.subst (C.CoFix (!counter,fl)))
+ fl
+ body
+ in
+ let tl' = List.map (reduceaux context []) tl in
+ reduceaux (tys@context) tl' body'
| t -> t
in
- (match decofix (reduceaux [] term) with
- C.MutConstruct (_,_,_,j) -> reduceaux l (List.nth pl (j-1))
- | C.Appl (C.MutConstruct (_,_,_,j) :: tl) ->
- let (arity, r, num_ingredients) =
+ (match decofix (reduceaux context [] term) with
+ C.MutConstruct (_,_,j,_) -> reduceaux context l (List.nth pl (j-1))
+ | C.Appl (C.MutConstruct (_,_,j,_) :: tl) ->
+ let (arity, r) =
match CicEnvironment.get_obj mutind with
- C.InductiveDefinition (tl,ingredients,r) ->
- let (_,_,arity,_) = List.nth tl i
- and num_ingredients =
- List.fold_right
- (fun (k,l) i ->
- if k < cookingsno then i + List.length l else i
- ) ingredients 0
- in
- (arity,r,num_ingredients)
+ C.InductiveDefinition (tl,_,r) ->
+ let (_,_,arity,_) = List.nth tl i in
+ (arity,r)
| _ -> raise WrongUriToInductiveDefinition
in
let ts =
- let num_to_eat = r + num_ingredients in
- let rec eat_first =
- function
- (0,l) -> l
- | (n,he::tl) when n > 0 -> eat_first (n - 1, tl)
- | _ -> raise (Impossible 5)
- in
- eat_first (num_to_eat,tl)
+ let rec eat_first =
+ function
+ (0,l) -> l
+ | (n,he::tl) when n > 0 -> eat_first (n - 1, tl)
+ | _ -> raise (Impossible 5)
+ in
+ eat_first (r,tl)
in
- reduceaux (ts@l) (List.nth pl (j-1))
- | C.Abst _ | C.Cast _ | C.Implicit ->
+ reduceaux context (ts@l) (List.nth pl (j-1))
+ | C.Cast _ | C.Implicit ->
raise (Impossible 2) (* we don't trust our whd ;-) *)
| _ ->
- let outtype' = reduceaux [] outtype in
- let term' = reduceaux [] term in
- let pl' = List.map (reduceaux []) pl in
+ let outtype' = reduceaux context [] outtype in
+ let term' = reduceaux context [] term in
+ let pl' = List.map (reduceaux context []) pl in
let res =
- C.MutCase (mutind,cookingsno,i,outtype',term',pl')
+ C.MutCase (mutind,i,outtype',term',pl')
in
if l = [] then res else C.Appl (res::l)
)
| C.Fix (i,fl) ->
- let t' () =
- let fl' =
- List.map
- (function (n,recindex,ty,bo) ->
- (n,recindex,reduceaux [] ty, reduceaux [] bo)
- ) fl
- in
- C.Fix (i, fl')
+ let tys =
+ List.map (function (name,_,ty,_) -> Some (C.Name name, C.Decl ty)) fl
in
- let (_,recindex,_,body) = List.nth fl i in
- let recparam =
- try
- Some (List.nth l recindex)
- with
- _ -> None
+ let t' () =
+ let fl' =
+ List.map
+ (function (n,recindex,ty,bo) ->
+ (n,recindex,reduceaux context [] ty, reduceaux (tys@context) [] bo)
+ ) fl
in
- (match recparam with
- Some recparam ->
- (match reduceaux [] recparam with
- C.MutConstruct _
- | C.Appl ((C.MutConstruct _)::_) ->
- let body' =
- let counter = ref (List.length fl) in
- List.fold_right
- (fun _ -> decr counter ; S.subst (C.Fix (!counter,fl)))
- fl
- body
- in
- (* Possible optimization: substituting whd recparam in l *)
- reduceaux l body'
- | _ -> if l = [] then t' () else C.Appl ((t' ())::l)
- )
- | None -> if l = [] then t' () else C.Appl ((t' ())::l)
- )
- | C.CoFix (i,fl) ->
- let t' =
- let fl' =
- List.map
- (function (n,ty,bo) ->
- (n,reduceaux [] ty, reduceaux [] bo)
- ) fl
+ C.Fix (i, fl')
in
- C.CoFix (i, fl')
+ let (_,recindex,_,body) = List.nth fl i in
+ let recparam =
+ try
+ Some (List.nth l recindex)
+ with
+ _ -> None
+ in
+ (match recparam with
+ Some recparam ->
+ (match reduceaux context [] recparam with
+ C.MutConstruct _
+ | C.Appl ((C.MutConstruct _)::_) ->
+ let body' =
+ let counter = ref (List.length fl) in
+ List.fold_right
+ (fun _ -> decr counter ; S.subst (C.Fix (!counter,fl)))
+ fl
+ body
+ in
+ (* Possible optimization: substituting whd recparam in l*)
+ reduceaux context l body'
+ | _ -> if l = [] then t' () else C.Appl ((t' ())::l)
+ )
+ | None -> if l = [] then t' () else C.Appl ((t' ())::l)
+ )
+ | C.CoFix (i,fl) ->
+ let tys =
+ List.map (function (name,ty,_) -> Some (C.Name name, C.Decl ty)) fl
in
- if l = [] then t' else C.Appl (t'::l)
+ let t' =
+ let fl' =
+ List.map
+ (function (n,ty,bo) ->
+ (n,reduceaux context [] ty, reduceaux (tys@context) [] bo)
+ ) fl
+ in
+ C.CoFix (i, fl')
+ in
+ if l = [] then t' else C.Appl (t'::l)
+ and reduceaux_exp_named_subst context l =
+ List.map (function uri,t -> uri,reduceaux context [] t)
in
-function t -> let res =
-prerr_endline ("<<<<<<<<<<<<<<<<" ^ CicPp.ppterm t) ; flush stderr ;
- reduceaux []
-t in prerr_endline ("++++++++++++++++++" ^ CicPp.ppterm res) ; flush stderr ; res
+ reduceaux context []
;;
exception WrongShape;;
exception AlreadySimplified;;
-exception WhatShouldIDo;;
(*CSC: I fear it is still weaker than Coq's one. For example, Coq is *)
(*CSCS: able to simpl (foo (S n) (S n)) to (foo (S O) n) where *)
(* change in every iteration, i.e. to the actual arguments for the *)
(* lambda-abstractions that precede the Fix. *)
(*CSC: It does not perform simplification in a Case *)
-let simpl =
+let simpl context =
(* reduceaux is equal to the reduceaux locally defined inside *)
(*reduce, but for the const case. *)
(**** Step 1 ****)
- let rec reduceaux l =
+ let rec reduceaux context l =
let module C = Cic in
let module S = CicSubstitution in
function
- C.Rel _ as t -> if l = [] then t else C.Appl (t::l)
- | C.Var uri as t ->
- (match CicEnvironment.get_cooked_obj uri 0 with
- C.Definition _ -> raise ReferenceToDefinition
- | C.Axiom _ -> raise ReferenceToAxiom
- | C.CurrentProof _ -> raise ReferenceToCurrentProof
- | C.InductiveDefinition _ -> raise ReferenceToInductiveDefinition
- | C.Variable (_,None,_) -> if l = [] then t else C.Appl (t::l)
- | C.Variable (_,Some body,_) -> reduceaux l body
+ C.Rel n as t ->
+ (match List.nth context (n-1) with
+ Some (_,C.Decl _) -> if l = [] then t else C.Appl (t::l)
+ | Some (_,C.Def bo) -> reduceaux context l (S.lift n bo)
+ | None -> raise RelToHiddenHypothesis
)
+ | C.Var (uri,exp_named_subst) ->
+ let exp_named_subst' =
+ reduceaux_exp_named_subst context l exp_named_subst
+ in
+ (match CicEnvironment.get_obj uri with
+ C.Constant _ -> raise ReferenceToConstant
+ | C.CurrentProof _ -> raise ReferenceToCurrentProof
+ | C.InductiveDefinition _ -> raise ReferenceToInductiveDefinition
+ | C.Variable (_,None,_,_) ->
+ let t' = C.Var (uri,exp_named_subst') in
+ if l = [] then t' else C.Appl (t'::l)
+ | C.Variable (_,Some body,_,_) ->
+ reduceaux context l
+ (CicSubstitution.subst_vars exp_named_subst' body)
+ )
| C.Meta _ as t -> if l = [] then t else C.Appl (t::l)
| C.Sort _ as t -> t (* l should be empty *)
| C.Implicit as t -> t
- | C.Cast (te,ty) -> reduceaux l te (*CSC E' GIUSTO BUTTARE IL CAST? *)
+ | C.Cast (te,ty) ->
+ C.Cast (reduceaux context l te, reduceaux context l ty)
| C.Prod (name,s,t) ->
assert (l = []) ;
- C.Prod (name, reduceaux [] s, reduceaux [] t)
+ C.Prod (name,
+ reduceaux context [] s,
+ reduceaux ((Some (name,C.Decl s))::context) [] t)
| C.Lambda (name,s,t) ->
(match l with
- [] -> C.Lambda (name, reduceaux [] s, reduceaux [] t)
- | he::tl -> reduceaux tl (S.subst he t)
+ [] ->
+ C.Lambda (name,
+ reduceaux context [] s,
+ reduceaux ((Some (name,C.Decl s))::context) [] t)
+ | he::tl -> reduceaux context tl (S.subst he t)
(* when name is Anonimous the substitution should be superfluous *)
)
- | C.LetIn (n,s,t) -> reduceaux l (S.subst (reduceaux [] s) t)
+ | C.LetIn (n,s,t) ->
+ reduceaux context l (S.subst (reduceaux context [] s) t)
| C.Appl (he::tl) ->
- let tl' = List.map (reduceaux []) tl in
- reduceaux (tl'@l) he
+ let tl' = List.map (reduceaux context []) tl in
+ reduceaux context (tl'@l) he
| C.Appl [] -> raise (Impossible 1)
- | C.Const (uri,cookingsno) as t ->
- (match CicEnvironment.get_cooked_obj uri cookingsno with
- C.Definition (_,body,_,_) ->
- begin
- try
- (**** Step 2 ****)
- let res,constant_args =
- let rec aux rev_constant_args l =
- function
- C.Lambda (name,s,t) as t' ->
- begin
- match l with
- [] -> raise WrongShape
- | he::tl ->
- (* when name is Anonimous the substitution should be *)
- (* superfluous *)
- aux (he::rev_constant_args) tl (S.subst he t)
- end
- | C.LetIn (_,_,_) -> raise WhatShouldIDo (*CSC: ?????????? *)
- | C.Fix (i,fl) as t ->
- let (_,recindex,_,body) = List.nth fl i in
- let recparam =
- try
- List.nth l recindex
- with
- _ -> raise AlreadySimplified
+ | C.Const (uri,exp_named_subst) ->
+ let exp_named_subst' =
+ reduceaux_exp_named_subst context l exp_named_subst
+ in
+ (match CicEnvironment.get_obj uri with
+ C.Constant (_,Some body,_,_) ->
+ begin
+ try
+ (**** Step 2 ****)
+ let res,constant_args =
+ let rec aux rev_constant_args l =
+ function
+ C.Lambda (name,s,t) as t' ->
+ begin
+ match l with
+ [] -> raise WrongShape
+ | he::tl ->
+ (* when name is Anonimous the substitution should *)
+ (* be superfluous *)
+ aux (he::rev_constant_args) tl (S.subst he t)
+ end
+ | C.LetIn (_,s,t) ->
+ aux rev_constant_args l (S.subst s t)
+ | C.Fix (i,fl) as t ->
+ let tys =
+ List.map (function (name,_,ty,_) ->
+ Some (C.Name name, C.Decl ty)) fl
in
- (match CicReduction.whd recparam with
- C.MutConstruct _
- | C.Appl ((C.MutConstruct _)::_) ->
- let body' =
- let counter = ref (List.length fl) in
- List.fold_right
- (function _ ->
- decr counter ; S.subst (C.Fix (!counter,fl))
- ) fl body
- in
- (* Possible optimization: substituting whd *)
- (* recparam in l *)
- reduceaux l body', List.rev rev_constant_args
- | _ -> raise AlreadySimplified
- )
- | _ -> raise WrongShape
- in
- aux [] l body
- in
- (**** Step 3 ****)
- let term_to_fold =
- match constant_args with
- [] -> C.Const (uri,cookingsno)
- | _ -> C.Appl ((C.Const (uri,cookingsno))::constant_args)
+ let (_,recindex,_,body) = List.nth fl i in
+ let recparam =
+ try
+ List.nth l recindex
+ with
+ _ -> raise AlreadySimplified
+ in
+ (match CicReduction.whd context recparam with
+ C.MutConstruct _
+ | C.Appl ((C.MutConstruct _)::_) ->
+ let body' =
+ let counter = ref (List.length fl) in
+ List.fold_right
+ (function _ ->
+ decr counter ; S.subst (C.Fix (!counter,fl))
+ ) fl body
+ in
+ (* Possible optimization: substituting whd *)
+ (* recparam in l *)
+ reduceaux (tys@context) l body',
+ List.rev rev_constant_args
+ | _ -> raise AlreadySimplified
+ )
+ | _ -> raise WrongShape
+ in
+ aux [] l (CicSubstitution.subst_vars exp_named_subst' body)
in
- let reduced_term_to_fold = reduce term_to_fold in
-prerr_endline ("TERM TO FOLD: " ^ CicPp.ppterm term_to_fold) ; flush stderr ;
-prerr_endline ("REDUCED TERM TO FOLD: " ^ CicPp.ppterm reduced_term_to_fold) ; flush stderr ;
- replace reduced_term_to_fold term_to_fold res
- with
- WrongShape ->
- (* The constant does not unfold to a Fix lambda-abstracted *)
- (* w.r.t. zero or more variables. We just perform reduction. *)
- reduceaux l body
- | AlreadySimplified ->
- (* If we performed delta-reduction, we would find a Fix *)
- (* not applied to a constructor. So, we refuse to perform *)
- (* delta-reduction. *)
- if l = [] then
- t
- else
- C.Appl (t::l)
- end
- | C.Axiom _ -> if l = [] then t else C.Appl (t::l)
+ (**** Step 3 ****)
+ let term_to_fold =
+ match constant_args with
+ [] -> C.Const (uri,exp_named_subst')
+ | _ -> C.Appl ((C.Const(uri,exp_named_subst'))::constant_args)
+ in
+ let reduced_term_to_fold = reduce context term_to_fold in
+ replace (=) reduced_term_to_fold term_to_fold res
+ with
+ WrongShape ->
+ (* The constant does not unfold to a Fix lambda-abstracted *)
+ (* w.r.t. zero or more variables. We just perform reduction.*)
+ reduceaux context l
+ (CicSubstitution.subst_vars exp_named_subst' body)
+ | AlreadySimplified ->
+ (* If we performed delta-reduction, we would find a Fix *)
+ (* not applied to a constructor. So, we refuse to perform *)
+ (* delta-reduction. *)
+ let t' = C.Const (uri,exp_named_subst') in
+ if l = [] then t' else C.Appl (t'::l)
+ end
+ | C.Constant (_,None,_,_) ->
+ let t' = C.Const (uri,exp_named_subst') in
+ if l = [] then t' else C.Appl (t'::l)
| C.Variable _ -> raise ReferenceToVariable
- | C.CurrentProof (_,_,body,_) -> reduceaux l body
+ | C.CurrentProof (_,_,body,_,_) -> reduceaux context l body
| C.InductiveDefinition _ -> raise ReferenceToInductiveDefinition
)
- | C.Abst _ as t -> t (*CSC l should be empty ????? *)
- | C.MutInd (uri,_,_) as t -> if l = [] then t else C.Appl (t::l)
- | C.MutConstruct (uri,_,_,_) as t -> if l = [] then t else C.Appl (t::l)
- | C.MutCase (mutind,cookingsno,i,outtype,term,pl) ->
+ | C.MutInd (uri,i,exp_named_subst) ->
+ let exp_named_subst' =
+ reduceaux_exp_named_subst context l exp_named_subst
+ in
+ let t' = C.MutInd (uri,i,exp_named_subst') in
+ if l = [] then t' else C.Appl (t'::l)
+ | C.MutConstruct (uri,i,j,exp_named_subst) ->
+ let exp_named_subst' =
+ reduceaux_exp_named_subst context l exp_named_subst
+ in
+ let t' = C.MutConstruct(uri,i,j,exp_named_subst') in
+ if l = [] then t' else C.Appl (t'::l)
+ | C.MutCase (mutind,i,outtype,term,pl) ->
let decofix =
function
C.CoFix (i,fl) as t ->
- let (_,_,body) = List.nth fl i in
- let body' =
- let counter = ref (List.length fl) in
- List.fold_right
- (fun _ -> decr counter ; S.subst (C.CoFix (!counter,fl)))
- fl
- body
- in
- reduceaux [] body'
+ let tys =
+ List.map (function (name,ty,_) -> Some (C.Name name, C.Decl ty)) fl in
+ let (_,_,body) = List.nth fl i in
+ let body' =
+ let counter = ref (List.length fl) in
+ List.fold_right
+ (fun _ -> decr counter ; S.subst (C.CoFix (!counter,fl)))
+ fl
+ body
+ in
+ reduceaux (tys@context) [] body'
| C.Appl (C.CoFix (i,fl) :: tl) ->
- let (_,_,body) = List.nth fl i in
- let body' =
- let counter = ref (List.length fl) in
- List.fold_right
- (fun _ -> decr counter ; S.subst (C.CoFix (!counter,fl)))
- fl
- body
- in
- let tl' = List.map (reduceaux []) tl in
- reduceaux tl body'
+ let tys =
+ List.map (function (name,ty,_) -> Some (C.Name name, C.Decl ty)) fl in
+ let (_,_,body) = List.nth fl i in
+ let body' =
+ let counter = ref (List.length fl) in
+ List.fold_right
+ (fun _ -> decr counter ; S.subst (C.CoFix (!counter,fl)))
+ fl
+ body
+ in
+ let tl' = List.map (reduceaux context []) tl in
+ reduceaux (tys@context) tl body'
| t -> t
in
- (match decofix (reduceaux [] term) with
- C.MutConstruct (_,_,_,j) -> reduceaux l (List.nth pl (j-1))
- | C.Appl (C.MutConstruct (_,_,_,j) :: tl) ->
- let (arity, r, num_ingredients) =
+ (match decofix (reduceaux context [] term) with
+ C.MutConstruct (_,_,j,_) -> reduceaux context l (List.nth pl (j-1))
+ | C.Appl (C.MutConstruct (_,_,j,_) :: tl) ->
+ let (arity, r) =
match CicEnvironment.get_obj mutind with
C.InductiveDefinition (tl,ingredients,r) ->
- let (_,_,arity,_) = List.nth tl i
- and num_ingredients =
- List.fold_right
- (fun (k,l) i ->
- if k < cookingsno then i + List.length l else i
- ) ingredients 0
- in
- (arity,r,num_ingredients)
+ let (_,_,arity,_) = List.nth tl i in
+ (arity,r)
| _ -> raise WrongUriToInductiveDefinition
in
let ts =
- let num_to_eat = r + num_ingredients in
- let rec eat_first =
- function
- (0,l) -> l
- | (n,he::tl) when n > 0 -> eat_first (n - 1, tl)
- | _ -> raise (Impossible 5)
- in
- eat_first (num_to_eat,tl)
+ let rec eat_first =
+ function
+ (0,l) -> l
+ | (n,he::tl) when n > 0 -> eat_first (n - 1, tl)
+ | _ -> raise (Impossible 5)
+ in
+ eat_first (r,tl)
in
- reduceaux (ts@l) (List.nth pl (j-1))
- | C.Abst _ | C.Cast _ | C.Implicit ->
+ reduceaux context (ts@l) (List.nth pl (j-1))
+ | C.Cast _ | C.Implicit ->
raise (Impossible 2) (* we don't trust our whd ;-) *)
| _ ->
- let outtype' = reduceaux [] outtype in
- let term' = reduceaux [] term in
- let pl' = List.map (reduceaux []) pl in
+ let outtype' = reduceaux context [] outtype in
+ let term' = reduceaux context [] term in
+ let pl' = List.map (reduceaux context []) pl in
let res =
- C.MutCase (mutind,cookingsno,i,outtype',term',pl')
+ C.MutCase (mutind,i,outtype',term',pl')
in
if l = [] then res else C.Appl (res::l)
)
| C.Fix (i,fl) ->
- let t' () =
- let fl' =
- List.map
- (function (n,recindex,ty,bo) ->
- (n,recindex,reduceaux [] ty, reduceaux [] bo)
- ) fl
- in
- C.Fix (i, fl')
+ let tys =
+ List.map (function (name,_,ty,_) -> Some (C.Name name, C.Decl ty)) fl
in
- let (_,recindex,_,body) = List.nth fl i in
- let recparam =
- try
- Some (List.nth l recindex)
- with
- _ -> None
+ let t' () =
+ let fl' =
+ List.map
+ (function (n,recindex,ty,bo) ->
+ (n,recindex,reduceaux context [] ty, reduceaux (tys@context) [] bo)
+ ) fl
in
- (match recparam with
- Some recparam ->
- (match reduceaux [] recparam with
- C.MutConstruct _
- | C.Appl ((C.MutConstruct _)::_) ->
- let body' =
- let counter = ref (List.length fl) in
- List.fold_right
- (fun _ -> decr counter ; S.subst (C.Fix (!counter,fl)))
- fl
- body
- in
- (* Possible optimization: substituting whd recparam in l *)
- reduceaux l body'
- | _ -> if l = [] then t' () else C.Appl ((t' ())::l)
- )
- | None -> if l = [] then t' () else C.Appl ((t' ())::l)
- )
- | C.CoFix (i,fl) ->
- let t' =
- let fl' =
- List.map
- (function (n,ty,bo) ->
- (n,reduceaux [] ty, reduceaux [] bo)
- ) fl
+ C.Fix (i, fl')
in
+ let (_,recindex,_,body) = List.nth fl i in
+ let recparam =
+ try
+ Some (List.nth l recindex)
+ with
+ _ -> None
+ in
+ (match recparam with
+ Some recparam ->
+ (match reduceaux context [] recparam with
+ C.MutConstruct _
+ | C.Appl ((C.MutConstruct _)::_) ->
+ let body' =
+ let counter = ref (List.length fl) in
+ List.fold_right
+ (fun _ -> decr counter ; S.subst (C.Fix (!counter,fl)))
+ fl
+ body
+ in
+ (* Possible optimization: substituting whd recparam in l*)
+ reduceaux context l body'
+ | _ -> if l = [] then t' () else C.Appl ((t' ())::l)
+ )
+ | None -> if l = [] then t' () else C.Appl ((t' ())::l)
+ )
+ | C.CoFix (i,fl) ->
+ let tys =
+ List.map (function (name,ty,_) -> Some (C.Name name, C.Decl ty)) fl
+ in
+ let t' =
+ let fl' =
+ List.map
+ (function (n,ty,bo) ->
+ (n,reduceaux context [] ty, reduceaux (tys@context) [] bo)
+ ) fl
+ in
C.CoFix (i, fl')
in
- if l = [] then t' else C.Appl (t'::l)
+ if l = [] then t' else C.Appl (t'::l)
+ and reduceaux_exp_named_subst context l =
+ List.map (function uri,t -> uri,reduceaux context [] t)
in
- reduceaux []
+ reduceaux context []
;;
projects / helm.git / blobdiff