open Printf
-exception AssertFailure of string;;
exception UnificationFailure of string;;
+exception Uncertain of string;;
+exception AssertFailure of string;;
let debug_print = prerr_endline
-let type_of_aux' metasenv subst context term =
+let type_of_aux' metasenv subst context term ugraph =
+ try
+ CicTypeChecker.type_of_aux' ~subst metasenv context term ugraph
+ with
+ CicTypeChecker.TypeCheckerFailure msg ->
+ let msg =
+ (sprintf
+ "Kernel Type checking error:
+%s\n%s\ncontext=\n%s\nmetasenv=\n%s\nsubstitution=\n%s\nException:\n%s.\nToo bad."
+ (CicMetaSubst.ppterm subst term)
+ (CicMetaSubst.ppterm [] term)
+ (CicMetaSubst.ppcontext subst context)
+ (CicMetaSubst.ppmetasenv metasenv subst)
+ (CicMetaSubst.ppsubst subst) msg) in
+ raise (AssertFailure msg);;
+(*
+>>>>>>> 1.40
try
- CicMetaSubst.type_of_aux' metasenv subst context term
+ CicMetaSubst.type_of_aux' metasenv subst context term ugraph
with
| CicMetaSubst.MetaSubstFailure msg ->
raise (AssertFailure
((sprintf
- "Type checking error: %s in context\n%s.\nException: %s.\nBroken invariant: unification must be invoked only on well typed terms"
+ "Type checking error: %s in context\n%s\nand metasenv\n%s.\nException: %s.\nBroken invariant: unification must be invoked only on well typed terms"
(CicMetaSubst.ppterm subst term)
- (CicMetaSubst.ppcontext subst context) msg)))
+ (CicMetaSubst.ppcontext subst context)
+ (CicMetaSubst.ppmetasenv metasenv subst) msg))) *)
+
+let rec deref subst =
+ let snd (_,a,_) = a in
+ function
+ Cic.Meta(n,l) as t ->
+ (try
+ deref subst
+ (CicSubstitution.lift_meta
+ l (snd (CicUtil.lookup_subst n subst)))
+ with
+ CicUtil.Subst_not_found _ -> t)
+ | t -> t
+;;
+
+let rec beta_expand test_equality_only metasenv subst context t arg ugraph =
+ let module S = CicSubstitution in
+ let module C = Cic in
+ let rec aux metasenv subst n context t' ugraph =
+ try
+
+ let subst,metasenv,ugraph1 =
+ fo_unif_subst test_equality_only subst context metasenv
+ (CicSubstitution.lift n arg) t' ugraph
+
+ in
+ subst,metasenv,C.Rel (1 + n),ugraph1
+ with
+ Uncertain _
+ | UnificationFailure _ ->
+ match t' with
+ | C.Rel m -> subst,metasenv,
+ (if m <= n then C.Rel m else C.Rel (m+1)),ugraph
+ | C.Var (uri,exp_named_subst) ->
+ let subst,metasenv,exp_named_subst',ugraph1 =
+ aux_exp_named_subst metasenv subst n context exp_named_subst ugraph
+ in
+(* THIS WAS BEFORE ----
+ subst,metasenv,C.Var (uri,exp_named_subst'),ugraph1
+ | C.Meta (i,l) as t->
+ (try
+ let (_, t') = CicMetaSubst.lookup_subst i subst in
+ aux metasenv subst n context (CicSubstitution.lift_meta l t')
+ ugraph
+ with CicMetaSubst.SubstNotFound _ ->
+ let (subst, metasenv, context, local_context,ugraph1) =
+ List.fold_left
+ (fun (subst, metasenv, context, local_context,ugraph) t ->
+ match t with
+ | None ->
+ (subst, metasenv, context, None::local_context, ugraph)
+--------- *)
+ subst,metasenv,C.Var (uri,exp_named_subst'),ugraph1
+ | C.Meta (i,l) ->
+ (* andrea: in general, beta_expand can create badly typed
+ terms. This happens quite seldom in practice, UNLESS we
+ iterate on the local context. For this reason, we renounce
+ to iterate and just lift *)
+ let l =
+ List.map
+ (function
+ Some t -> Some (CicSubstitution.lift 1 t)
+ | None -> None) l in
+ subst, metasenv, C.Meta (i,l), ugraph
+ (*
+ let (subst, metasenv, context, local_context) =
+ List.fold_right
+ (fun t (subst, metasenv, context, local_context) ->
+ match t with
+ | None -> (subst, metasenv, context, None :: local_context)
+
+ | Some t ->
+ let (subst, metasenv, t, ugraph1) =
+ aux metasenv subst n context t ugraph
+ in
+(* THIS WAS BEFORE ----
+ (subst, metasenv, context,
+ (Some t)::local_context,ugraph1))
+ (subst, metasenv, context, [],ugraph) l
+ in
+ (subst, metasenv,(C.Meta (i, local_context)),ugraph1))
+-------- *)
+ (subst, metasenv, context, Some t :: local_context))
+ l (subst, metasenv, context, [])
+ in
+ prerr_endline ("nuova meta :" ^ (CicPp.ppterm (C.Meta (i, local_context))));
+ (subst, metasenv, C.Meta (i, local_context)) *)
+ | C.Sort _
+ | C.Implicit _ as t -> subst,metasenv,t,ugraph
+ | C.Cast (te,ty) ->
+ let subst,metasenv,te',ugraph1 =
+ aux metasenv subst n context te ugraph in
+ let subst,metasenv,ty',ugraph2 =
+ aux metasenv subst n context ty ugraph1 in
+ (* TASSI: sure this is in serial? *)
+ subst,metasenv,(C.Cast (te', ty')),ugraph2
+ | C.Prod (nn,s,t) ->
+ let subst,metasenv,s',ugraph1 =
+ aux metasenv subst n context s ugraph in
+ let subst,metasenv,t',ugraph2 =
+ aux metasenv subst (n+1) ((Some (nn, C.Decl s))::context) t
+ ugraph1
+ in
+ (* TASSI: sure this is in serial? *)
+ subst,metasenv,(C.Prod (nn, s', t')),ugraph2
+ | C.Lambda (nn,s,t) ->
+ let subst,metasenv,s',ugraph1 =
+ aux metasenv subst n context s ugraph in
+ let subst,metasenv,t',ugraph2 =
+ aux metasenv subst (n+1) ((Some (nn, C.Decl s))::context) t ugraph1
+ in
+ (* TASSI: sure this is in serial? *)
+ subst,metasenv,(C.Lambda (nn, s', t')),ugraph2
+ | C.LetIn (nn,s,t) ->
+ let subst,metasenv,s',ugraph1 =
+ aux metasenv subst n context s ugraph in
+ let subst,metasenv,t',ugraph2 =
+ aux metasenv subst (n+1) ((Some (nn, C.Def (s,None)))::context) t
+ ugraph1
+ in
+ (* TASSI: sure this is in serial? *)
+ subst,metasenv,(C.LetIn (nn, s', t')),ugraph2
+ | C.Appl l ->
+ let subst,metasenv,revl',ugraph1 =
+ List.fold_left
+ (fun (subst,metasenv,appl,ugraph) t ->
+ let subst,metasenv,t',ugraph1 =
+ aux metasenv subst n context t ugraph in
+ subst,metasenv,(t'::appl),ugraph1
+ ) (subst,metasenv,[],ugraph) l
+ in
+ subst,metasenv,(C.Appl (List.rev revl')),ugraph1
+ | C.Const (uri,exp_named_subst) ->
+ let subst,metasenv,exp_named_subst',ugraph1 =
+ aux_exp_named_subst metasenv subst n context exp_named_subst ugraph
+ in
+ subst,metasenv,(C.Const (uri,exp_named_subst')),ugraph1
+ | C.MutInd (uri,i,exp_named_subst) ->
+ let subst,metasenv,exp_named_subst',ugraph1 =
+ aux_exp_named_subst metasenv subst n context exp_named_subst ugraph
+ in
+ subst,metasenv,(C.MutInd (uri,i,exp_named_subst')),ugraph1
+ | C.MutConstruct (uri,i,j,exp_named_subst) ->
+ let subst,metasenv,exp_named_subst',ugraph1 =
+ aux_exp_named_subst metasenv subst n context exp_named_subst ugraph
+ in
+ subst,metasenv,(C.MutConstruct (uri,i,j,exp_named_subst')),ugraph1
+ | C.MutCase (sp,i,outt,t,pl) ->
+ let subst,metasenv,outt',ugraph1 =
+ aux metasenv subst n context outt ugraph in
+ let subst,metasenv,t',ugraph2 =
+ aux metasenv subst n context t ugraph1 in
+ let subst,metasenv,revpl',ugraph3 =
+ List.fold_left
+ (fun (subst,metasenv,pl,ugraph) t ->
+ let subst,metasenv,t',ugraph1 =
+ aux metasenv subst n context t ugraph in
+ subst,metasenv,(t'::pl),ugraph1
+ ) (subst,metasenv,[],ugraph2) pl
+ in
+ subst,metasenv,(C.MutCase (sp,i,outt', t', List.rev revpl')),ugraph3
+ (* TASSI: not sure this is serial *)
+ | C.Fix (i,fl) ->
+(*CSC: not implemented
+ let tylen = List.length fl in
+ let substitutedfl =
+ List.map
+ (fun (name,i,ty,bo) -> (name, i, aux n ty, aux (n+tylen) bo))
+ fl
+ in
+ C.Fix (i, substitutedfl)
+*)
+ subst,metasenv,(CicSubstitution.lift 1 t' ),ugraph
+ | C.CoFix (i,fl) ->
+(*CSC: not implemented
+ let tylen = List.length fl in
+ let substitutedfl =
+ List.map
+ (fun (name,ty,bo) -> (name, aux n ty, aux (n+tylen) bo))
+ fl
+ in
+ C.CoFix (i, substitutedfl)
+
+*)
+ subst,metasenv,(CicSubstitution.lift 1 t'), ugraph
+
+ and aux_exp_named_subst metasenv subst n context ens ugraph =
+ List.fold_right
+ (fun (uri,t) (subst,metasenv,l,ugraph) ->
+ let subst,metasenv,t',ugraph1 = aux metasenv subst n context t ugraph in
+ subst,metasenv,((uri,t')::l),ugraph1) ens (subst,metasenv,[],ugraph)
+ in
+ let argty,ugraph1 = type_of_aux' metasenv subst context arg ugraph in
+ let fresh_name =
+ FreshNamesGenerator.mk_fresh_name ~subst
+ metasenv context (Cic.Name "Heta") ~typ:argty
+ in
+ let subst,metasenv,t',ugraph2 = aux metasenv subst 0 context t ugraph1 in
+ (* prova *)
+ (* old
+ subst, metasenv, C.Appl [C.Lambda (fresh_name,argty,t') ; arg]
+ *)
+ subst, metasenv, C.Lambda (fresh_name,argty,t'), ugraph2
+
+
+(* WAS ---------
+and beta_expand_many test_equality_only metasenv subst context t l ugraph =
+ List.fold_left
+ (fun (subst,metasenv,t,ugraph) arg ->
+ beta_expand test_equality_only metasenv subst context t arg ugraph
+ ) (subst,metasenv,t,ugraph) l
+------- *)
+and beta_expand_many test_equality_only metasenv subst context t args ugraph =
+ let subst,metasenv,hd,ugraph =
+ List.fold_right
+ (fun arg (subst,metasenv,t,ugraph) ->
+ let subst,metasenv,t,ugraph1 =
+ beta_expand test_equality_only
+ metasenv subst context t arg ugraph
+ in
+ subst,metasenv,t,ugraph1
+ ) args (subst,metasenv,t,ugraph)
+ in
+ subst,metasenv,hd,ugraph
+
(* NUOVA UNIFICAZIONE *)
(* A substitution is a (int * Cic.term) list that associates a
a new substitution which is _NOT_ unwinded. It must be unwinded before
applying it. *)
-let rec fo_unif_subst subst context metasenv t1 t2 =
+and fo_unif_subst test_equality_only subst context metasenv t1 t2 ugraph =
let module C = Cic in
- let module R = CicMetaSubst in
+ let module R = CicReduction in
let module S = CicSubstitution in
- match (t1, t2) with
- (C.Meta (n,ln), C.Meta (m,lm)) when n=m ->
- let ok,subst,metasenv =
+ let t1 = deref subst t1 in
+ let t2 = deref subst t2 in
+ let b,ugraph =
+ R.are_convertible ~subst ~metasenv context t1 t2 ugraph
+ in
+ if b then
+ subst, metasenv, ugraph
+ else
+ match (t1, t2) with
+ (C.Meta (n,ln), C.Meta (m,lm)) when n=m ->
+(*
+ let ok,subst,metasenv,ugraph1 =
+ try
List.fold_left2
- (fun (b,subst,metasenv) t1 t2 ->
- if b then true,subst,metasenv else
+ (fun (b,subst,metasenv,ugraph) t1 t2 ->
+ if b then true,subst,metasenv,ugraph else
match t1,t2 with
None,_
- | _,None -> true,subst,metasenv
+ | _,None -> true,subst,metasenv,ugraph
| Some t1', Some t2' ->
(* First possibility: restriction *)
(* Second possibility: unification *)
(* Third possibility: convertibility *)
- if R.are_convertible subst context t1' t2' then
- true,subst,metasenv
+ let b',ugraph1 =
+ R.are_convertible subst context t1' t2' ugraph in
+ if b' then
+ true,subst,metasenv,ugraph1
else
(try
- let subst,metasenv =
- fo_unif_subst subst context metasenv t1' t2'
+ let subst,metasenv,ugraph2 =
+ fo_unif_subst
+ (* TASSI: is this another try that should use ugraph? *)
+ test_equality_only subst context metasenv t1' t2' ugraph
in
- true,subst,metasenv
+ true,subst,metasenv,ugraph2
with
- Not_found -> false,subst,metasenv)
- ) (true,subst,metasenv) ln lm
+ Not_found -> false,subst,metasenv,ugraph1)
+ ) (true,subst,metasenv,ugraph) ln lm
+ with
+ Invalid_argument _ ->
+ raise (UnificationFailure (sprintf
+ "Error trying to unify %s with %s: the lengths of the two local contexts do not match." (CicMetaSubst.ppterm subst t1) (CicMetaSubst.ppterm subst t2)))
in
if ok then
- subst,metasenv
+ subst,metasenv,ugraph1
else
raise (UnificationFailure (sprintf
"Error trying to unify %s with %s: the algorithm tried to check whether the two substitutions are convertible; if they are not, it tried to unify the two substitutions. No restriction was attempted."
- (CicPp.ppterm t1) (CicPp.ppterm t2)))
- | (C.Meta (n,l), C.Meta (m,_)) when n>m ->
- fo_unif_subst subst context metasenv t2 t1
+ (CicMetaSubst.ppterm subst t1) (CicMetaSubst.ppterm subst t2)))
+ *)
+ let _,subst,metasenv,ugraph1 =
+ (try
+ List.fold_left2
+ (fun (j,subst,metasenv,ugraph) t1 t2 ->
+ match t1,t2 with
+ None,_
+ | _,None -> j+1,subst,metasenv,ugraph
+ | Some t1', Some t2' ->
+ (* First possibility: restriction *)
+ (* Second possibility: unification *)
+ (* Third possibility: convertibility *)
+ let b, ugraph1 =
+ R.are_convertible
+ ~subst ~metasenv context t1' t2' ugraph
+ in
+ if b then
+ j+1,subst,metasenv, ugraph1
+ else
+ (try
+ let subst,metasenv,ugraph2 =
+ fo_unif_subst
+ test_equality_only
+ subst context metasenv t1' t2' ugraph
+ in
+ j+1,subst,metasenv,ugraph2
+ with
+ Uncertain _
+ | UnificationFailure _ ->
+prerr_endline ("restringo Meta n." ^ (string_of_int n) ^ "on variable n." ^ (string_of_int j));
+ let metasenv, subst =
+ CicMetaSubst.restrict
+ subst [(n,j)] metasenv in
+ j+1,subst,metasenv,ugraph1)
+ ) (1,subst,metasenv,ugraph) ln lm
+ with
+ Exit ->
+ raise
+ (UnificationFailure "1")
+(*
+ (sprintf
+ "Error trying to unify %s with %s: the algorithm tried to check whether the two substitutions are convertible; if they are not, it tried to unify the two substitutions. No restriction was attempted."
+ (CicMetaSubst.ppterm subst t1) (CicMetaSubst.ppterm subst t2))) *)
+ | Invalid_argument _ ->
+ raise
+ (UnificationFailure "2"))
+(*
+ (sprintf
+ "Error trying to unify %s with %s: the lengths of the two local contexts do not match." (CicMetaSubst.ppterm subst t1) (CicMetaSubst.ppterm subst t2))))*)
+ in subst,metasenv,ugraph1
+
+ | (C.Meta (n,_), C.Meta (m,_)) when n>m ->
+ fo_unif_subst test_equality_only subst context metasenv t2 t1 ugraph
| (C.Meta (n,l), t)
| (t, C.Meta (n,l)) ->
- let subst'',metasenv' =
- try
- let oldt = (List.assoc n subst) in
- let lifted_oldt = S.lift_meta l oldt in
- fo_unif_subst subst context metasenv lifted_oldt t
- with Not_found ->
- let t',metasenv',subst' =
- CicMetaSubst.delift n subst context metasenv l t
- in
- (n, t')::subst', metasenv'
+ let swap =
+ match t1,t2 with
+ C.Meta (n,_), C.Meta (m,_) when n < m -> false
+ | _, C.Meta _ -> false
+ | _,_ -> true
+ in
+ let lower = fun x y -> if swap then y else x in
+ let upper = fun x y -> if swap then x else y in
+ let fo_unif_subst_ordered
+ test_equality_only subst context metasenv m1 m2 ugraph =
+ fo_unif_subst test_equality_only subst context metasenv
+ (lower m1 m2) (upper m1 m2) ugraph
in
- let (_,_,meta_type) = CicUtil.lookup_meta n metasenv' in
- (try
- let tyt =
- type_of_aux' metasenv' subst'' context t
+(*
+ begin
+ try
+ let (_, oldt) = CicMetaSubst.lookup_subst n subst in
+ let lifted_oldt = S.lift_meta l oldt in
+ let ty_lifted_oldt,ugraph1 =
+ type_of_aux' metasenv subst context lifted_oldt ugraph
+ in
+ let tyt,ugraph2 = type_of_aux' metasenv subst context t ugraph1 in
+ let (subst, metasenv, ugraph3) =
+ fo_unif_subst_ordered test_equality_only subst context metasenv
+ tyt ty_lifted_oldt ugraph2
in
- fo_unif_subst subst'' context metasenv' (S.lift_meta l meta_type) tyt
- with _ ->
- (* TODO huge hack!!!!
- * we keep on unifying/refining in the hope that the problem will be
- * eventually solved. In the meantime we're breaking a big invariant:
- * the terms that we are unifying are no longer well typed in the
- * current context (in the worst case we could even diverge)
- *)
+ fo_unif_subst_ordered
+ test_equality_only subst context metasenv t lifted_oldt ugraph3
+ with CicMetaSubst.SubstNotFound _ ->
+ (* First of all we unify the type of the meta with the type of the term *)
+ let subst,metasenv,ugraph1 =
+ let (_,_,meta_type) = CicUtil.lookup_meta n metasenv in
+ (try
+ let tyt,ugraph1 = type_of_aux' metasenv subst context t ugraph in
+ fo_unif_subst
+ test_equality_only
+ subst context metasenv tyt (S.lift_meta l meta_type) ugraph1
+ with AssertFailure _ ->
+ (* TODO huge hack!!!!
+ * we keep on unifying/refining in the hope that the problem will be
+ * eventually solved. In the meantime we're breaking a big invariant:
+ * the terms that we are unifying are no longer well typed in the
+ * current context (in the worst case we could even diverge)
+ *)
(*
prerr_endline "********* FROM NOW ON EVERY REASONABLE INVARIANT IS BROKEN.";
prerr_endline "********* PROCEED AT YOUR OWN RISK. AND GOOD LUCK." ;
*)
- (subst'', metasenv'))
+ (subst, metasenv,ugraph))
+ in
+ let t',metasenv,subst =
+ try
+ (* TASSI: I hope delift does nothing with universes *)
+ CicMetaSubst.delift n subst context metasenv l t
+ with
+ (CicMetaSubst.MetaSubstFailure msg)-> raise(UnificationFailure msg)
+ | (CicMetaSubst.Uncertain msg) -> raise (Uncertain msg)
+ in
+ let t'',ugraph2 =
+ match t' with
+ C.Sort (C.Type u) when not test_equality_only ->
+ let u' = CicUniv.fresh () in
+ let s = C.Sort (C.Type u') in
+ let ugraph2 =
+ CicUniv.add_ge (upper u u') (lower u u') ugraph1 in
+ s,ugraph2
+ | _ -> t',ugraph1
+ in
+ (* Unifying the types may have already instantiated n. Let's check *)
+ try
+ let (_, oldt) = CicMetaSubst.lookup_subst n subst in
+ let lifted_oldt = S.lift_meta l oldt in
+ fo_unif_subst_ordered
+ test_equality_only subst context metasenv t lifted_oldt ugraph2
+ with
+ CicMetaSubst.SubstNotFound _ ->
+ let (_, context, _) = CicUtil.lookup_meta n metasenv in
+ let subst = (n, (context, t'')) :: subst in
+ let metasenv =
+(* CicMetaSubst.apply_subst_metasenv [n,(context, t'')] metasenv *)
+ CicMetaSubst.apply_subst_metasenv subst metasenv
+ in
+ subst, metasenv,ugraph2
+(* (n,t'')::subst, metasenv *)
+ end
+*)
+ begin
+ let subst,metasenv,ugraph1 =
+ let (_,_,meta_type) = CicUtil.lookup_meta n metasenv in
+ (try
+ let tyt,ugraph1 =
+ type_of_aux' metasenv subst context t ugraph
+ in
+ fo_unif_subst
+ test_equality_only
+ subst context metasenv tyt (S.lift_meta l meta_type) ugraph1
+ with
+ UnificationFailure msg
+ | Uncertain msg ->
+ prerr_endline msg;raise (UnificationFailure msg)
+ | AssertFailure _ ->
+ prerr_endline "siamo allo huge hack";
+ (* TODO huge hack!!!!
+ * we keep on unifying/refining in the hope that
+ * the problem will be eventually solved.
+ * In the meantime we're breaking a big invariant:
+ * the terms that we are unifying are no longer well
+ * typed in the current context (in the worst case
+ * we could even diverge) *)
+ (subst, metasenv,ugraph)) in
+ let t',metasenv,subst =
+ try
+ CicMetaSubst.delift n subst context metasenv l t
+ with
+ (CicMetaSubst.MetaSubstFailure msg)->
+ raise (UnificationFailure msg)
+ | (CicMetaSubst.Uncertain msg) -> raise (Uncertain msg)
+ in
+ let t'',ugraph2 =
+ match t' with
+ C.Sort (C.Type u) when not test_equality_only ->
+ let u' = CicUniv.fresh () in
+ let s = C.Sort (C.Type u') in
+ let ugraph2 =
+ CicUniv.add_ge (upper u u') (lower u u') ugraph1
+ in
+ s,ugraph2
+ | _ -> t',ugraph1
+ in
+ (* Unifying the types may have already instantiated n. Let's check *)
+ try
+ let (_, oldt,_) = CicUtil.lookup_subst n subst in
+ let lifted_oldt = S.lift_meta l oldt in
+ fo_unif_subst_ordered
+ test_equality_only subst context metasenv t lifted_oldt ugraph2
+ with
+ CicUtil.Subst_not_found _ ->
+ let (_, context, ty) = CicUtil.lookup_meta n metasenv in
+ let subst = (n, (context, t'',ty)) :: subst in
+ let metasenv =
+ List.filter (fun (m,_,_) -> not (n = m)) metasenv in
+ subst, metasenv, ugraph2
+ end
+
| (C.Var (uri1,exp_named_subst1),C.Var (uri2,exp_named_subst2))
| (C.Const (uri1,exp_named_subst1),C.Const (uri2,exp_named_subst2)) ->
if UriManager.eq uri1 uri2 then
- fo_unif_subst_exp_named_subst subst context metasenv
- exp_named_subst1 exp_named_subst2
+ fo_unif_subst_exp_named_subst test_equality_only subst context metasenv
+ exp_named_subst1 exp_named_subst2 ugraph
else
- raise (UnificationFailure (sprintf
+ raise (UnificationFailure "3")
+ (* (sprintf
"Can't unify %s with %s due to different constants"
- (CicPp.ppterm t1) (CicPp.ppterm t1)))
+ (CicMetaSubst.ppterm subst t1) (CicMetaSubst.ppterm subst t2))) *)
| C.MutInd (uri1,i1,exp_named_subst1),C.MutInd (uri2,i2,exp_named_subst2) ->
if UriManager.eq uri1 uri2 && i1 = i2 then
- fo_unif_subst_exp_named_subst subst context metasenv
- exp_named_subst1 exp_named_subst2
+ fo_unif_subst_exp_named_subst test_equality_only subst context metasenv
+ exp_named_subst1 exp_named_subst2 ugraph
else
- raise (UnificationFailure (sprintf
+ raise (UnificationFailure "4")
+ (* (sprintf
"Can't unify %s with %s due to different inductive principles"
- (CicPp.ppterm t1) (CicPp.ppterm t1)))
+ (CicMetaSubst.ppterm subst t1) (CicMetaSubst.ppterm subst t2))) *)
| C.MutConstruct (uri1,i1,j1,exp_named_subst1),
C.MutConstruct (uri2,i2,j2,exp_named_subst2) ->
if UriManager.eq uri1 uri2 && i1 = i2 && j1 = j2 then
- fo_unif_subst_exp_named_subst subst context metasenv
- exp_named_subst1 exp_named_subst2
+ fo_unif_subst_exp_named_subst test_equality_only subst context metasenv
+ exp_named_subst1 exp_named_subst2 ugraph
else
- raise (UnificationFailure (sprintf
+ raise (UnificationFailure "5")
+ (* (sprintf
"Can't unify %s with %s due to different inductive constructors"
- (CicPp.ppterm t1) (CicPp.ppterm t1)))
- | (C.Implicit, _) | (_, C.Implicit) -> assert false
- | (C.Cast (te,ty), t2) -> fo_unif_subst subst context metasenv te t2
- | (t1, C.Cast (te,ty)) -> fo_unif_subst subst context metasenv t1 te
+ (CicMetaSubst.ppterm subst t1) (CicMetaSubst.ppterm subst t2))) *)
+ | (C.Implicit _, _) | (_, C.Implicit _) -> assert false
+ | (C.Cast (te,ty), t2) -> fo_unif_subst test_equality_only
+ subst context metasenv te t2 ugraph
+ | (t1, C.Cast (te,ty)) -> fo_unif_subst test_equality_only
+ subst context metasenv t1 te ugraph
| (C.Prod (n1,s1,t1), C.Prod (_,s2,t2)) ->
- let subst',metasenv' = fo_unif_subst subst context metasenv s1 s2 in
- fo_unif_subst subst' ((Some (n1,(C.Decl s1)))::context) metasenv' t1 t2
+ let subst',metasenv',ugraph1 =
+ fo_unif_subst true subst context metasenv s1 s2 ugraph
+ in
+ fo_unif_subst test_equality_only
+ subst' ((Some (n1,(C.Decl s1)))::context) metasenv' t1 t2 ugraph1
| (C.Lambda (n1,s1,t1), C.Lambda (_,s2,t2)) ->
- let subst',metasenv' = fo_unif_subst subst context metasenv s1 s2 in
- fo_unif_subst subst' ((Some (n1,(C.Decl s1)))::context) metasenv' t1 t2
+ let subst',metasenv',ugraph1 =
+ fo_unif_subst test_equality_only subst context metasenv s1 s2 ugraph
+ in
+ fo_unif_subst test_equality_only
+ subst' ((Some (n1,(C.Decl s1)))::context) metasenv' t1 t2 ugraph1
| (C.LetIn (_,s1,t1), t2)
| (t2, C.LetIn (_,s1,t1)) ->
- fo_unif_subst subst context metasenv t2 (S.subst s1 t1)
+ fo_unif_subst
+ test_equality_only subst context metasenv t2 (S.subst s1 t1) ugraph
| (C.Appl l1, C.Appl l2) ->
- let lr1 = List.rev l1 in
- let lr2 = List.rev l2 in
- let rec fo_unif_l subst metasenv =
- function
- [],_
- | _,[] -> assert false
- | ([h1],[h2]) ->
- fo_unif_subst subst context metasenv h1 h2
- | ([h],l)
- | (l,[h]) ->
- fo_unif_subst subst context metasenv h (C.Appl (List.rev l))
- | ((h1::l1),(h2::l2)) ->
- let subst', metasenv' =
- fo_unif_subst subst context metasenv h1 h2
- in
- fo_unif_l subst' metasenv' (l1,l2)
+(* WAS BEFORE ----------
+ let subst,metasenv,t1',t2',ugraph1 =
+ match l1,l2 with
+ C.Meta (i,_)::_, C.Meta (j,_)::_ when i = j ->
+ subst,metasenv,t1,t2,ugraph
+ (* In the first two cases when we reach the next begin ... end
+ section useless work is done since, by construction, the list
+ of arguments will be equal.
+ *)
+----------------- *)
+ (* andrea: this case should be probably rewritten in the
+ spirit of deref *)
+ let rec beta_reduce =
+ function
+ (Cic.Appl (Cic.Lambda (_,_,t)::he'::tl')) ->
+ let he'' = CicSubstitution.subst he' t in
+ if tl' = [] then
+ he''
+ else
+ beta_reduce (Cic.Appl(he''::tl'))
+ | t -> t in
+ let exists_a_meta l =
+ List.exists (function Cic.Meta _ -> true | _ -> false) l
+ in
+ (match l1,l2 with
+ C.Meta (i,_)::args1, C.Meta (j,_)::args2 when i = j ->
+ (try
+ List.fold_left2
+ (fun (subst,metasenv,ugraph) t1 t2 ->
+ fo_unif_subst
+ test_equality_only subst context metasenv t1 t2 ugraph)
+ (subst,metasenv,ugraph) l1 l2
+ with (Invalid_argument msg) -> raise (UnificationFailure msg))
+ | C.Meta (i,l)::args, _ when not(exists_a_meta args) ->
+ (* we verify that none of the args is a Meta, since beta expanding
+ with respoect to a metavariable makes no sense
+ *)
+ (try
+ let (_,t,_) = CicUtil.lookup_subst i subst in
+ let lifted = S.lift_meta l t in
+ let reduced = beta_reduce (Cic.Appl (lifted::args)) in
+ fo_unif_subst
+ test_equality_only
+ subst context metasenv reduced t2 ugraph
+ with CicUtil.Subst_not_found _ ->
+ let subst,metasenv,beta_expanded,ugraph1 =
+ beta_expand_many
+ test_equality_only metasenv subst context t2 args ugraph
+ in
+ fo_unif_subst test_equality_only subst context metasenv
+ (C.Meta (i,l)) beta_expanded ugraph1)
+ | _, C.Meta (i,l)::args when not(exists_a_meta args) ->
+ (try
+ let (_,t,_) = CicUtil.lookup_subst i subst in
+ let lifted = S.lift_meta l t in
+ let reduced = beta_reduce (Cic.Appl (lifted::args)) in
+ fo_unif_subst
+ test_equality_only
+ subst context metasenv t1 reduced ugraph
+ with CicUtil.Subst_not_found _ ->
+ let subst,metasenv,beta_expanded,ugraph1 =
+ beta_expand_many
+ test_equality_only metasenv subst context t1 args ugraph in
+ fo_unif_subst test_equality_only subst context metasenv
+ (C.Meta (i,l)) beta_expanded ugraph1)
+ | _,_ ->
+(* WAS BEFORE -----
+<<<<<<< cicUnification.ml
+ subst,metasenv,t1,t2,ugraph
in
- fo_unif_l subst metasenv (lr1, lr2)
- | (C.MutCase (_,_,outt1,t1,pl1), C.MutCase (_,_,outt2,t2,pl2))->
- let subst', metasenv' =
- fo_unif_subst subst context metasenv outt1 outt2 in
- let subst'',metasenv'' =
- fo_unif_subst subst' context metasenv' t1 t2 in
- List.fold_left2
- (function (subst,metasenv) ->
- fo_unif_subst subst context metasenv
- ) (subst'',metasenv'') pl1 pl2
- | (C.Rel _, _) | (_, C.Rel _)
+ begin
+ match t1',t2' with
+ C.Appl l1, C.Appl l2 ->
+ let lr1 = List.rev l1 in
+=======
+--------*)
+ let lr1 = List.rev l1 in
+ let lr2 = List.rev l2 in
+ let rec
+ fo_unif_l test_equality_only subst metasenv (l1,l2) ugraph =
+ match (l1,l2) with
+ [],_
+ | _,[] -> assert false
+ | ([h1],[h2]) ->
+ fo_unif_subst
+ test_equality_only subst context metasenv h1 h2 ugraph
+ | ([h],l)
+ | (l,[h]) ->
+ fo_unif_subst test_equality_only subst context metasenv
+ h (C.Appl (List.rev l)) ugraph
+ | ((h1::l1),(h2::l2)) ->
+ let subst', metasenv',ugraph1 =
+ fo_unif_subst
+ test_equality_only subst context metasenv h1 h2 ugraph
+ in
+ fo_unif_l
+ test_equality_only subst' metasenv' (l1,l2) ugraph1
+ in
+ fo_unif_l
+ test_equality_only subst metasenv (lr1, lr2) ugraph)(**)
+ | (C.MutCase (_,_,outt1,t1',pl1), C.MutCase (_,_,outt2,t2',pl2))->
+ let subst', metasenv',ugraph1 =
+ fo_unif_subst test_equality_only subst context metasenv outt1 outt2
+ ugraph in
+ let subst'',metasenv'',ugraph2 =
+ fo_unif_subst test_equality_only subst' context metasenv' t1' t2'
+ ugraph1 in
+ (try
+ List.fold_left2
+ (fun (subst,metasenv,ugraph) t1 t2 ->
+ fo_unif_subst
+ test_equality_only subst context metasenv t1 t2 ugraph
+ ) (subst'',metasenv'',ugraph2) pl1 pl2
+ with
+ Invalid_argument _ ->
+ raise (UnificationFailure "6"))
+ (* (sprintf
+ "Error trying to unify %s with %s: the number of branches is not the same." (CicMetaSubst.ppterm subst t1) (CicMetaSubst.ppterm subst t2)))) *)
+ | (C.Rel _, _) | (_, C.Rel _) ->
+ if t1 = t2 then
+ subst, metasenv,ugraph
+ else
+ raise (UnificationFailure "6")
+ (* (sprintf
+ "Can't unify %s with %s because they are not convertible"
+ (CicMetaSubst.ppterm subst t1) (CicMetaSubst.ppterm subst t2))) *)
| (C.Sort _ ,_) | (_, C.Sort _)
| (C.Const _, _) | (_, C.Const _)
| (C.MutInd _, _) | (_, C.MutInd _)
| (C.MutConstruct _, _) | (_, C.MutConstruct _)
| (C.Fix _, _) | (_, C.Fix _)
| (C.CoFix _, _) | (_, C.CoFix _) ->
- if R.are_convertible subst context t1 t2 then
- subst, metasenv
- else
- raise (UnificationFailure (sprintf
- "Can't unify %s with %s because they are not convertible"
- (CicPp.ppterm t1) (CicPp.ppterm t2)))
+ if t1 = t2 then
+ subst, metasenv, ugraph
+ else
+ let b,ugraph1 =
+ R.are_convertible ~subst ~metasenv context t1 t2 ugraph
+ in
+ if b then
+ subst, metasenv, ugraph1
+ else
+ raise (UnificationFailure "7")
+ (* (sprintf
+ "Can't unify %s with %s because they are not convertible"
+ (CicMetaSubst.ppterm subst t1)
+ (CicMetaSubst.ppterm subst t2))) *)
| (_,_) ->
- if R.are_convertible subst context t1 t2 then
- subst, metasenv
- else
- raise (UnificationFailure (sprintf
- "Can't unify %s with %s because they are not convertible"
- (CicPp.ppterm t1) (CicPp.ppterm t2)))
+ let b,ugraph1 =
+ R.are_convertible ~subst ~metasenv context t1 t2 ugraph
+ in
+ if b then
+ subst, metasenv, ugraph1
+ else
+ raise (UnificationFailure "8")
+ (* (sprintf
+ "Can't unify %s with %s because they are not convertible"
+ (CicMetaSubst.ppterm subst t1)
+ (CicMetaSubst.ppterm subst t2))) *)
-and fo_unif_subst_exp_named_subst subst context metasenv
- exp_named_subst1 exp_named_subst2
+and fo_unif_subst_exp_named_subst test_equality_only subst context metasenv
+ exp_named_subst1 exp_named_subst2 ugraph
=
-try
- List.fold_left2
- (fun (subst,metasenv) (uri1,t1) (uri2,t2) ->
- assert (uri1=uri2) ;
- fo_unif_subst subst context metasenv t1 t2
- ) (subst,metasenv) exp_named_subst1 exp_named_subst2
-with
-e ->
-let uri = UriManager.uri_of_string "cic:/dummy.var" in
-debug_print ("@@@: " ^ CicPp.ppterm (Cic.Var (uri,exp_named_subst1)) ^
-" <==> " ^ CicPp.ppterm (Cic.Var (uri,exp_named_subst2))) ; raise e
+ try
+ List.fold_left2
+ (fun (subst,metasenv,ugraph) (uri1,t1) (uri2,t2) ->
+ assert (uri1=uri2) ;
+ fo_unif_subst test_equality_only subst context metasenv t1 t2 ugraph
+ ) (subst,metasenv,ugraph) exp_named_subst1 exp_named_subst2
+ with
+ Invalid_argument _ ->
+ let print_ens ens =
+ String.concat " ; "
+ (List.map
+ (fun (uri,t) ->
+ UriManager.string_of_uri uri ^ " := " ^ (CicMetaSubst.ppterm subst t)
+ ) ens)
+ in
+ raise (UnificationFailure (sprintf
+ "Error trying to unify the two explicit named substitutions (local contexts) %s and %s: their lengths is different." (print_ens exp_named_subst1) (print_ens exp_named_subst2)))
(* A substitution is a (int * Cic.term) list that associates a *)
(* metavariable i with its body. *)
(* a new substitution which is already unwinded and ready to be applied and *)
(* a new metasenv in which some hypothesis in the contexts of the *)
(* metavariables may have been restricted. *)
-let fo_unif metasenv context t1 t2 = fo_unif_subst [] context metasenv t1 t2 ;;
+let fo_unif metasenv context t1 t2 ugraph =
+ fo_unif_subst false [] context metasenv t1 t2 ugraph ;;
-let fo_unif_subst subst context metasenv t1 t2 =
- let enrich_msg msg =
- sprintf "Unification error unifying %s of type %s with %s of type %s in context\n%s\nand metasenv\n%s\nbecause %s"
+let fo_unif_subst subst context metasenv t1 t2 ugraph =
+ let enrich_msg msg = (* "bella roba" *)
+ sprintf "Unification error unifying %s of type %s with %s of type %s in context\n%s\nand metasenv\n%s\nand substitution\n%s\nbecause %s"
(CicMetaSubst.ppterm subst t1)
(try
- CicPp.ppterm (type_of_aux' metasenv subst context t1)
+ let ty_t1,_ = type_of_aux' metasenv subst context t1 ugraph in
+ CicPp.ppterm ty_t1
with _ -> "MALFORMED")
(CicMetaSubst.ppterm subst t2)
(try
- CicPp.ppterm (type_of_aux' metasenv subst context t2)
+ let ty_t2,_ = type_of_aux' metasenv subst context t2 ugraph in
+ CicPp.ppterm ty_t2
with _ -> "MALFORMED")
(CicMetaSubst.ppcontext subst context)
- (CicMetaSubst.ppmetasenv metasenv subst) msg
+ (CicMetaSubst.ppmetasenv metasenv subst)
+ (CicMetaSubst.ppsubst subst) msg
in
try
- fo_unif_subst subst context metasenv t1 t2
+ fo_unif_subst false subst context metasenv t1 t2 ugraph
with
| AssertFailure msg -> raise (AssertFailure (enrich_msg msg))
| UnificationFailure msg -> raise (UnificationFailure (enrich_msg msg))
projects / helm.git / blobdiff