* http://cs.unibo.it/helm/.
*)
-exception Bad_pattern of string
+exception Bad_pattern of string Lazy.t
let new_meta_of_proof ~proof:(_, metasenv, _, _) =
CicMkImplicit.new_meta metasenv []
List.map
(function
Some (n,Cic.Decl s) -> Some (n,Cic.Decl (subst_in s))
- | Some (n,Cic.Def (s,None)) -> Some (n,Cic.Def ((subst_in s),None))
+ | Some (n,Cic.Def (s,None)) -> Some (n,Cic.Def (subst_in s,None))
| None -> None
- | Some (_,Cic.Def (_,Some _)) -> assert false
+ | Some (n,Cic.Def (bo,Some ty)) ->
+ Some (n,Cic.Def (subst_in bo,Some (subst_in ty)))
) canonical_context
in
i,canonical_context',(subst_in ty)
None -> None
| Some (i,Cic.Decl t) -> Some (i,Cic.Decl (subst_in t))
| Some (i,Cic.Def (t,None)) ->
- Some (i,Cic.Def ((subst_in t),None))
- | Some (_,Cic.Def (_,Some _)) -> assert false
+ Some (i,Cic.Def (subst_in t,None))
+ | Some (i,Cic.Def (bo,Some ty)) ->
+ Some (i,Cic.Def (subst_in bo,Some (subst_in ty)))
) canonical_context
in
(m,canonical_context',subst_in ty)::i
;;
(** 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
+ let map2 error_msg f l1 l2 =
+ try
+ List.map2 f l1 l2
+ with
+ | Invalid_argument _ -> raise (Bad_pattern (lazy error_msg))
+ in
let rec aux context where term =
match (where, term) with
| Cic.Implicit (Some `Hole), t -> [context,t]
| Cic.Implicit None,_ -> []
| Cic.Meta (_, ctxt1), Cic.Meta (_, ctxt2) ->
List.concat
- (List.map2
+ (map2 "wrong number of argument in explicit substitution"
(fun t1 t2 ->
(match (t1, t2) with
Some t1, Some t2 -> aux context t1 t2
List.map (fun (n,_,ty,_) -> Some (Cic.Name n,(Cic.Decl ty))) funs2
in
List.concat
- (List.map2
+ (map2 "wrong number of mutually recursive functions"
(fun (_, _, ty1, bo1) (_, _, ty2, bo2) ->
aux context ty1 ty2 @ aux (tys @ context) bo1 bo2)
funs1 funs2)
List.map (fun (n,ty,_) -> Some (Cic.Name n,(Cic.Decl ty))) funs2
in
List.concat
- (List.map2
+ (map2 "wrong number of mutually co-recursive functions"
(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"
+ (lazy (Printf.sprintf "Pattern %s versus term %s"
(CicPp.ppterm x)
- (CicPp.ppterm y)))
+ (CicPp.ppterm y))))
and auxs context terms1 terms2 = (* as aux for list of terms *)
- List.concat (List.map2 (fun t1 t2 -> aux context t1 t2) terms1 terms2)
+ List.concat (map2 "wrong number of arguments in application"
+ (fun t1 t2 -> aux context t1 t2) terms1 terms2)
in
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 context'_len = List.length context' in
- let found =
- let wanted =
- CicSubstitution.lift (context'_len - context_len) wanted
- in
- find_subterms ~wanted ~context where
+ let subst,metasenv,ugraph,tl' = find_in_roots tl in
+ let subst,metasenv,ugraph,found =
+ let wanted, metasenv, ugraph = wanted context' metasenv ugraph in
+ find_subterms ~subst ~metasenv ~ugraph ~wanted ~context:context'
+ where
in
- found @ tl'
+ subst,metasenv,ugraph,found @ tl'
in
find_in_roots roots
in
snd (aux term)
-exception Fail of string
+exception Fail of string Lazy.t
(** select metasenv conjecture pattern
* select all subterms of [conjecture] matching [pattern].
* with their context conclusion. Note: in the result the list of hypothesis
* 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) =
+ * hypothesis name may be empty.
+ *
+ * @raise Bad_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 =
- match what with
- None -> None
- | Some what ->
- let what,subst',metasenv' =
- CicMetaSubst.delift_rels [] metasenv
- (context_len - List.length context) what
- in
- 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)
- with
- CicMetaSubst.DeliftingARelWouldCaptureAFreeVariable ->
- raise
- (Fail
- ("The term the user wants to convert is not closed " ^
- "in the context of the position of the substitution.")))
+ 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))
| 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 =
- match what with
- None -> None
- | Some what ->
- let what,subst',metasenv' =
- CicMetaSubst.delift_rels [] metasenv
- (context_len - List.length context) what
- in
- 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)
- 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 ([],[]))
+ subst,metasenv,ugraph,((Some (`Def (terms_bo,terms_ty)))::res),
+ (entry::context))
+ ) context (subst,metasenv,ugraph,[],[]))
+ in
+ subst,metasenv,ugraph,res
+ in
+ subst,metasenv,ugraph,context_terms, ty_terms
+
+(** locate_in_term equality what where context
+* [what] must match a subterm of [where] according to [equality]
+* It returns the matched terms together with their contexts in [where]
+* [equality] defaults to physical equality
+* [context] must be the context of [where]
+*)
+let locate_in_term ?(equality=(fun _ -> (==))) what ~where context =
+ let add_ctx context name entry =
+ (Some (name, entry)) :: context in
+ let rec aux context where =
+ if equality context what where then [context,where]
+ 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.LetIn (name, s, t) ->
+ aux context s @ aux (add_ctx context name (Cic.Def (s,None))) t
+ | Cic.Appl tl -> auxs context tl
+ | Cic.MutCase (_, _, out, t, pat) ->
+ aux context out @ aux context t @ auxs context pat
+ | Cic.Fix (_, funs) ->
+ let tys =
+ List.map (fun (n,_,ty,_) -> Some (Cic.Name n,(Cic.Decl ty))) funs
+ in
+ List.concat
+ (List.map
+ (fun (_, _, ty, bo) ->
+ aux context ty @ aux (tys @ context) bo)
+ funs)
+ | Cic.CoFix (_, funs) ->
+ let tys =
+ List.map (fun (n,ty,_) -> Some (Cic.Name n,(Cic.Decl ty))) funs
+ in
+ List.concat
+ (List.map
+ (fun (_, ty, bo) ->
+ aux context ty @ aux (tys @ context) bo)
+ funs)
+ and auxs context tl = (* as aux for list of terms *)
+ List.concat (List.map (fun t -> aux context t) tl)
+ in
+ aux context where
+
+(** locate_in_conjecture equality what where context
+* [what] must match a subterm of [where] according to [equality]
+* It returns the matched terms together with their contexts in [where]
+* [equality] defaults to physical equality
+* [context] must be the context of [where]
+*)
+let locate_in_conjecture ?(equality=fun _ -> (==)) what (_,context,ty) =
+ let context,res =
+ List.fold_right
+ (fun entry (context,res) ->
+ match entry with
+ None -> entry::context, res
+ | Some (_, Cic.Decl ty) ->
+ let res = res @ locate_in_term what ~where:ty context in
+ let context' = entry::context in
+ context',res
+ | Some (_, Cic.Def (bo,ty)) ->
+ let res = res @ locate_in_term what ~where:bo context in
+ let res =
+ match ty with
+ None -> res
+ | Some ty ->
+ res @ locate_in_term what ~where:ty context in
+ let context' = entry::context in
+ context',res
+ ) context ([],[])
+ in
+ res @ locate_in_term what ~where:ty context
+
+(* saturate_term newmeta metasenv context ty goal_arity *)
+(* Given a type [ty] (a backbone), it returns its suffix of length *)
+(* [goal_arity] 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 goal_arity =
+ let module C = Cic in
+ let module S = CicSubstitution in
+ assert (goal_arity >= 0);
+ let rec aux newmeta ty =
+ 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,prod_no =
+ aux (newmeta + 1) (S.subst newargument t)
+ in
+ if prod_no + 1 = goal_arity then
+ let head = CicReduction.normalize ~delta:false context ty in
+ head,[],[],lastmeta,goal_arity + 1
+ else
+ (** 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 **)
+ let s' = CicReduction.normalize ~delta:false context s in
+ res,(newmeta,context,s')::newmetasenv,newargument::arguments,
+ lastmeta,prod_no + 1
+ | t ->
+ let head = CicReduction.normalize ~delta:false context t in
+ match CicReduction.whd context head with
+ C.Prod _ as head' -> aux newmeta head'
+ | _ -> head,[],[],newmeta,0
+ 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 (lazy "lookup_type: not premise in the current goal"))
in
- context_terms, ty_terms
+ aux 1 context
projects / helm.git / blobdiff