X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Focaml%2Ftactics%2FproofEngineHelpers.ml;h=4224eb5b154ba117ca0c2c2093adb601507afd55;hb=0409d6974224ddfc00a5f3d9918651c6d99aa661;hp=ea797481c4edf96b0f550f60fa0c9fb9cc6e510b;hpb=c5b08eb60c8ede80fad4f44abd8439cef9b339c1;p=helm.git diff --git a/helm/ocaml/tactics/proofEngineHelpers.ml b/helm/ocaml/tactics/proofEngineHelpers.ml index ea797481c..4224eb5b1 100644 --- a/helm/ocaml/tactics/proofEngineHelpers.ml +++ b/helm/ocaml/tactics/proofEngineHelpers.ml @@ -111,62 +111,119 @@ let compare_metasenvs ~oldmetasenv ~newmetasenv = ;; (** finds the _pointers_ to subterms that are alpha-equivalent to wanted in t *) -let find_subterms ~wanted ~context t = - let rec find context w t = - if ProofEngineReduction.alpha_equivalence w t then - [context,t] - else +let find_subterms ~subst ~metasenv ~ugraph ~wanted ~context t = + let rec find subst metasenv ugraph context w t = + try + let subst,metasenv,ugraph = + CicUnification.fo_unif_subst subst context metasenv w t ugraph + in + subst,metasenv,ugraph,[context,t] + with + CicUnification.UnificationFailure _ + | CicUnification.Uncertain _ -> match t with | Cic.Sort _ - | Cic.Rel _ -> [] + | Cic.Rel _ -> subst,metasenv,ugraph,[] | Cic.Meta (_, ctx) -> List.fold_left ( - fun acc e -> + fun (subst,metasenv,ugraph,acc) e -> match e with - | None -> acc - | Some t -> find context w t @ acc - ) [] ctx + | None -> subst,metasenv,ugraph,acc + | Some t -> + let subst,metasenv,ugraph,res = + find subst metasenv ugraph context w t + in + subst,metasenv,ugraph, res @ acc + ) (subst,metasenv,ugraph,[]) ctx | Cic.Lambda (name, t1, t2) | Cic.Prod (name, t1, t2) -> - find context w t1 @ - find (Some (name, Cic.Decl t1)::context) + let subst,metasenv,ugraph,rest1 = + find subst metasenv ugraph context w t1 in + let subst,metasenv,ugraph,rest2 = + find subst metasenv ugraph (Some (name, Cic.Decl t1)::context) (CicSubstitution.lift 1 w) t2 + in + subst,metasenv,ugraph,rest1 @ rest2 | Cic.LetIn (name, t1, t2) -> - find context w t1 @ - find (Some (name, Cic.Def (t1,None))::context) + let subst,metasenv,ugraph,rest1 = + find subst metasenv ugraph context w t1 in + let subst,metasenv,ugraph,rest2 = + find subst metasenv ugraph (Some (name, Cic.Def (t1,None))::context) (CicSubstitution.lift 1 w) t2 + in + subst,metasenv,ugraph,rest1 @ rest2 | Cic.Appl l -> - List.fold_left (fun acc t -> find context w t @ acc) [] l - | Cic.Cast (t, ty) -> find context w t @ find context w ty + List.fold_left + (fun (subst,metasenv,ugraph,acc) t -> + let subst,metasenv,ugraph,res = + find subst metasenv ugraph context w t + in + subst,metasenv,ugraph,res @ acc) + (subst,metasenv,ugraph,[]) l + | Cic.Cast (t, ty) -> + let subst,metasenv,ugraph,rest = + find subst metasenv ugraph context w t in + let subst,metasenv,ugraph,resty = + find subst metasenv ugraph context w ty + in + subst,metasenv,ugraph,rest @ resty | Cic.Implicit _ -> assert false | Cic.Const (_, esubst) | Cic.Var (_, esubst) | Cic.MutInd (_, _, esubst) | Cic.MutConstruct (_, _, _, esubst) -> - List.fold_left (fun acc (_, t) -> find context w t @ acc) [] esubst + List.fold_left + (fun (subst,metasenv,ugraph,acc) (_, t) -> + let subst,metasenv,ugraph,res = + find subst metasenv ugraph context w t + in + subst,metasenv,ugraph,res @ acc) + (subst,metasenv,ugraph,[]) esubst | Cic.MutCase (_, _, outty, indterm, patterns) -> - find context w outty @ find context w indterm @ - List.fold_left (fun acc p -> find context w p @ acc) [] patterns + let subst,metasenv,ugraph,resoutty = + find subst metasenv ugraph context w outty in + let subst,metasenv,ugraph,resindterm = + find subst metasenv ugraph context w indterm in + let subst,metasenv,ugraph,respatterns = + List.fold_left + (fun (subst,metasenv,ugraph,acc) p -> + let subst,metaseng,ugraph,res = + find subst metasenv ugraph context w p + in + subst,metasenv,ugraph,res @ acc + ) (subst,metasenv,ugraph,[]) patterns + in + subst,metasenv,ugraph,resoutty @ resindterm @ respatterns | Cic.Fix (_, funl) -> let tys = List.map (fun (n,_,ty,_) -> Some (Cic.Name n,(Cic.Decl ty))) funl in List.fold_left ( - fun acc (_, _, ty, bo) -> - find context w ty @ find (tys @ context) w bo @ acc - ) [] funl + fun (subst,metasenv,ugraph,acc) (_, _, ty, bo) -> + let subst,metasenv,ugraph,resty = + find subst metasenv ugraph context w ty in + let subst,metasenv,ugraph,resbo = + find subst metasenv ugraph (tys @ context) w bo + in + subst,metasenv,ugraph, resty @ resbo @ acc + ) (subst,metasenv,ugraph,[]) funl | Cic.CoFix (_, funl) -> let tys = List.map (fun (n,ty,_) -> Some (Cic.Name n,(Cic.Decl ty))) funl in List.fold_left ( - fun acc (_, ty, bo) -> - find context w ty @ find (tys @ context) w bo @ acc - ) [] funl + fun (subst,metasenv,ugraph,acc) (_, ty, bo) -> + let subst,metasenv,ugraph,resty = + find subst metasenv ugraph context w ty in + let subst,metasenv,ugraph,resbo = + find subst metasenv ugraph (tys @ context) w bo + in + subst,metasenv,ugraph, resty @ resbo @ acc + ) (subst,metasenv,ugraph,[]) funl in - find context wanted t + find subst metasenv ugraph context wanted t -let select_in_term ~context ~term ~pattern:(wanted,where) = +let select_in_term ~metasenv ~context ~ugraph ~term ~pattern:(wanted,where) = let add_ctx context name entry = (Some (name, entry)) :: context in @@ -238,21 +295,21 @@ let select_in_term ~context ~term ~pattern:(wanted,where) = let context_len = List.length context in let roots = aux context where term in match wanted with - None -> roots + None -> [],metasenv,ugraph,roots | Some wanted -> let rec find_in_roots = function - [] -> [] + [] -> [],metasenv,ugraph,[] | (context',where)::tl -> - let tl' = find_in_roots tl in + let subst,metasenv,ugraph,tl' = find_in_roots tl in let context'_len = List.length context' in - let found = + let subst,metasenv,ugraph,found = let wanted = CicSubstitution.lift (context'_len - context_len) wanted in - find_subterms ~wanted ~context where + find_subterms ~subst ~metasenv ~ugraph ~wanted ~context where in - found @ tl' + subst,metasenv,ugraph,found @ tl' in find_in_roots roots @@ -406,21 +463,26 @@ exception Fail of string * has an entry for each entry in the context and in the same order. * Of course the list of terms (with their context) associated to the * hypothesis name may be empty. *) - let select ~metasenv ~conjecture:(_,context,ty) ~pattern:(what,hyp_patterns,goal_pattern) = + let select ~metasenv ~ugraph ~conjecture:(_,context,ty) + ~pattern:(what,hyp_patterns,goal_pattern) + = let find_pattern_for name = try Some (snd (List.find (fun (n, pat) -> Cic.Name n = name) hyp_patterns)) with Not_found -> None in - let ty_terms = select_in_term ~context ~term:ty ~pattern:(what,goal_pattern) in + let subst,metasenv,ugraph,ty_terms = + select_in_term ~metasenv ~context ~ugraph ~term:ty + ~pattern:(what,goal_pattern) in let context_len = List.length context in - let context_terms = - fst + let subst,metasenv,ugraph,context_terms = + let subst,metasenv,ugraph,res,_ = (List.fold_right - (fun entry (res,context) -> + (fun entry (subst,metasenv,ugraph,res,context) -> match entry with - None -> (None::res),(None::context) + None -> subst,metasenv,ugraph,(None::res),(None::context) | Some (name,Cic.Decl term) -> (match find_pattern_for name with - | None -> ((Some (`Decl []))::res),(entry::context) + | None -> + subst,metasenv,ugraph,((Some (`Decl []))::res),(entry::context) | Some pat -> try let what = @@ -434,8 +496,12 @@ exception Fail of string assert (subst' = []); assert (metasenv' = metasenv); Some what in - let terms = select_in_term ~context ~term ~pattern:(what,pat) in - ((Some (`Decl terms))::res),(entry::context) + let subst,metasenv,ugraph,terms = + select_in_term ~metasenv ~context ~ugraph ~term + ~pattern:(what,pat) + in + subst,metasenv,ugraph,((Some (`Decl terms))::res), + (entry::context) with CicMetaSubst.DeliftingARelWouldCaptureAFreeVariable -> raise @@ -445,8 +511,9 @@ exception Fail of string | Some (name,Cic.Def (bo, ty)) -> (match find_pattern_for name with | None -> - let selected_ty= match ty with None -> None | Some _ -> Some [] in - ((Some (`Def ([],selected_ty)))::res),(entry::context) + let selected_ty=match ty with None -> None | Some _ -> Some [] in + subst,metasenv,ugraph,((Some (`Def ([],selected_ty)))::res), + (entry::context) | Some pat -> try let what = @@ -460,21 +527,153 @@ exception Fail of string assert (subst' = []); assert (metasenv' = metasenv); Some what in - let terms_bo = - select_in_term ~context ~term:bo ~pattern:(what,pat) in - let terms_ty = + let subst,metasenv,ugraph,terms_bo = + select_in_term ~metasenv ~context ~ugraph ~term:bo + ~pattern:(what,pat) in + let subst,metasenv,ugraph,terms_ty = match ty with - None -> None + None -> subst,metasenv,ugraph,None | Some ty -> - Some (select_in_term ~context ~term:ty ~pattern:(what,pat)) + let subst,metasenv,ugraph,res = + select_in_term ~metasenv ~context ~ugraph ~term:ty + ~pattern:(what,pat) + in + subst,metasenv,ugraph,Some res in - ((Some (`Def (terms_bo,terms_ty)))::res),(entry::context) + subst,metasenv,ugraph,((Some (`Def (terms_bo,terms_ty)))::res), + (entry::context) with CicMetaSubst.DeliftingARelWouldCaptureAFreeVariable -> raise (Fail ("The term the user wants to convert is not closed " ^ "in the context of the position of the substitution."))) - ) context ([],[])) + ) context (subst,metasenv,ugraph,[],[])) + in + subst,metasenv,ugraph,res + in + subst,metasenv,ugraph,context_terms, ty_terms + +let locate_in_term what ~where = + let add_ctx context name entry = + (Some (name, entry)) :: context + in + let rec aux context where = + if what == where then context + else + match where with + | Cic.Implicit _ + | Cic.Meta _ + | Cic.Rel _ + | Cic.Sort _ + | Cic.Var _ + | Cic.Const _ + | Cic.MutInd _ + | Cic.MutConstruct _ -> [] + | Cic.Cast (te, ty) -> aux context te @ aux context ty + | Cic.Prod (name, s, t) + | Cic.Lambda (name, s, t) -> + aux context s @ aux (add_ctx context name (Cic.Decl s)) t + | Cic.Appl tl -> auxs context tl +(* + | Cic.LetIn (Cic.Anonymous, s1, t1), Cic.LetIn (name, s2, t2) -> + aux context s1 s2 @ aux (add_ctx context name (Cic.Def (s2,None))) t1 t2 + | Cic.LetIn (Cic.Name n1, s1, t1), + Cic.LetIn ((Cic.Name n2) as name, s2, t2) when n1 = n2-> + aux context s1 s2 @ aux (add_ctx context name (Cic.Def (s2,None))) t1 t2 + | Cic.LetIn (name1, s1, t1), Cic.LetIn (name2, s2, t2) -> [] + | Cic.MutCase (_, _, out1, t1, pat1), Cic.MutCase (_ , _, out2, t2, pat2) -> + aux context out1 out2 @ aux context t1 t2 @ auxs context pat1 pat2 + | Cic.Fix (_, funs1), Cic.Fix (_, funs2) -> + let tys = + List.map (fun (n,_,ty,_) -> Some (Cic.Name n,(Cic.Decl ty))) funs2 + in + List.concat + (List.map2 + (fun (_, _, ty1, bo1) (_, _, ty2, bo2) -> + aux context ty1 ty2 @ aux (tys @ context) bo1 bo2) + funs1 funs2) + | Cic.CoFix (_, funs1), Cic.CoFix (_, funs2) -> + let tys = + List.map (fun (n,ty,_) -> Some (Cic.Name n,(Cic.Decl ty))) funs2 + in + List.concat + (List.map2 + (fun (_, ty1, bo1) (_, ty2, bo2) -> + aux context ty1 ty2 @ aux (tys @ context) bo1 bo2) + funs1 funs2) + | x,y -> + raise (Bad_pattern + (Printf.sprintf "Pattern %s versus term %s" + (CicPp.ppterm x) + (CicPp.ppterm y))) +*) + and auxs context tl = (* as aux for list of terms *) + List.concat (List.map (fun t -> aux context t) tl) + in + aux [] where + + +(* saturate_term newmeta metasenv context ty *) +(* Given a type [ty] (a backbone), it returns its head and a new metasenv in *) +(* which there is new a META for each hypothesis, a list of arguments for the *) +(* new applications and the index of the last new META introduced. The nth *) +(* argument in the list of arguments is just the nth new META. *) +let saturate_term newmeta metasenv context ty = + let module C = Cic in + let module S = CicSubstitution in + let rec aux newmeta ty = + let ty' = ty in + match ty' with + C.Cast (he,_) -> aux newmeta he +(* CSC: patch to generate ?1 : ?2 : Type in place of ?1 : Type to simulate ?1 :< Type + (* If the expected type is a Type, then also Set is OK ==> + * we accept any term of type Type *) + (*CSC: BUG HERE: in this way it is possible for the term of + * type Type to be different from a Sort!!! *) + | C.Prod (name,(C.Sort (C.Type _) as s),t) -> + (* TASSI: ask CSC if BUG HERE refers to the C.Cast or C.Propd case *) + let irl = + CicMkImplicit.identity_relocation_list_for_metavariable context + in + let newargument = C.Meta (newmeta+1,irl) in + let (res,newmetasenv,arguments,lastmeta) = + aux (newmeta + 2) (S.subst newargument t) + in + res, + (newmeta,[],s)::(newmeta+1,context,C.Meta (newmeta,[]))::newmetasenv, + newargument::arguments,lastmeta +*) + | C.Prod (name,s,t) -> + let irl = + CicMkImplicit.identity_relocation_list_for_metavariable context + in + let newargument = C.Meta (newmeta,irl) in + let (res,newmetasenv,arguments,lastmeta) = + aux (newmeta + 1) (S.subst newargument t) + in + let s' = CicReduction.normalize ~delta:false context s in + res,(newmeta,context,s')::newmetasenv,newargument::arguments,lastmeta + (** NORMALIZE RATIONALE + * we normalize the target only NOW since we may be in this case: + * A1 -> A2 -> T where T = (\lambda x.A3 -> P) k + * and we want a mesasenv with ?1:A1 and ?2:A2 and not + * ?1, ?2, ?3 (that is the one we whould get if we start from the + * beta-normalized A1 -> A2 -> A3 -> P **) + | t -> (CicReduction.normalize ~delta:false context t),[],[],newmeta + in + (* WARNING: here we are using the invariant that above the most *) + (* recente new_meta() there are no used metas. *) + let (res,newmetasenv,arguments,lastmeta) = aux newmeta ty in + res,metasenv @ newmetasenv,arguments,lastmeta + +let lookup_type metasenv context hyp = + let rec aux p = function + | Some (Cic.Name name, Cic.Decl t) :: _ when name = hyp -> p, t + | Some (Cic.Name name, Cic.Def (_, Some t)) :: _ when name = hyp -> p, t + | Some (Cic.Name name, Cic.Def (u, _)) :: tail when name = hyp -> + p, fst (CicTypeChecker.type_of_aux' metasenv tail u CicUniv.empty_ugraph) + | _ :: tail -> aux (succ p) tail + | [] -> raise (ProofEngineTypes.Fail "lookup_type: not premise in the current goal") in - context_terms, ty_terms + aux 1 context