* http://cs.unibo.it/helm/.
*)
+exception Bad_pattern of string
+
let new_meta_of_proof ~proof:(_, metasenv, _, _) =
CicMkImplicit.new_meta metasenv []
;;
(** finds the _pointers_ to subterms that are alpha-equivalent to wanted in t *)
-let find_subterms ~eq ~wanted t =
- let rec find wanted t =
- if eq wanted t then
- [t]
+let find_subterms ~wanted ~context t =
+ let rec find context w t =
+ if ProofEngineReduction.alpha_equivalence w t then
+ [context,t]
else
match t with
| Cic.Sort _
fun acc e ->
match e with
| None -> acc
- | Some t -> find wanted t @ acc
+ | Some t -> find context w t @ acc
) [] ctx
- | Cic.Lambda (_, t1, t2)
- | Cic.Prod (_, t1, t2)
- | Cic.LetIn (_, t1, t2) ->
- find wanted t1 @ find (CicSubstitution.lift 1 wanted) t2
+ | Cic.Lambda (name, t1, t2)
+ | Cic.Prod (name, t1, t2) ->
+ find context w t1 @
+ find (Some (name, Cic.Decl t1)::context)
+ (CicSubstitution.lift 1 w) t2
+ | Cic.LetIn (name, t1, t2) ->
+ find context w t1 @
+ find (Some (name, Cic.Def (t1,None))::context)
+ (CicSubstitution.lift 1 w) t2
| Cic.Appl l ->
- List.fold_left (fun acc t -> find wanted t @ acc) [] l
- | Cic.Cast (t, ty) -> find wanted t @ find wanted ty
+ List.fold_left (fun acc t -> find context w t @ acc) [] l
+ | Cic.Cast (t, ty) -> find context w t @ find context w ty
| Cic.Implicit _ -> assert false
| Cic.Const (_, esubst)
| Cic.Var (_, esubst)
| Cic.MutInd (_, _, esubst)
| Cic.MutConstruct (_, _, _, esubst) ->
- List.fold_left (fun acc (_, t) -> find wanted t @ acc) [] esubst
+ List.fold_left (fun acc (_, t) -> find context w t @ acc) [] esubst
| Cic.MutCase (_, _, outty, indterm, patterns) ->
- find wanted outty @ find wanted indterm @
- List.fold_left (fun acc p -> find wanted p @ acc) [] patterns
+ find context w outty @ find context w indterm @
+ List.fold_left (fun acc p -> find context w p @ acc) [] patterns
| 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 wanted ty @ find wanted bo @ acc
+ fun acc (_, _, ty, bo) ->
+ find context w ty @ find (tys @ context) w bo @ acc
) [] 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 wanted ty @ find wanted bo @ acc
+ fun acc (_, ty, bo) ->
+ find context w ty @ find (tys @ context) w bo @ acc
) [] funl
in
- find wanted t
+ find context wanted t
+
+let select ~context ~term ~pattern:(wanted,where) =
+ let add_ctx context name entry =
+ (Some (name, entry)) :: context
+ in
+ let rec aux context where term =
+ match (where, term) with
+ | Cic.Implicit (Some `Hole), t -> [context,t]
+ | Cic.Implicit (Some `Type), t -> []
+ | Cic.Implicit None,_ -> []
+ | Cic.Meta (_, ctxt1), Cic.Meta (_, ctxt2) ->
+ List.concat
+ (List.map2
+ (fun t1 t2 ->
+ (match (t1, t2) with
+ Some t1, Some t2 -> aux context t1 t2
+ | _ -> []))
+ ctxt1 ctxt2)
+ | Cic.Cast (te1, ty1), Cic.Cast (te2, ty2) ->
+ aux context te1 te2 @ aux context ty1 ty2
+ | Cic.Prod (Cic.Anonymous, s1, t1), Cic.Prod (name, s2, t2)
+ | Cic.Lambda (Cic.Anonymous, s1, t1), Cic.Lambda (name, s2, t2) ->
+ aux context s1 s2 @ aux (add_ctx context name (Cic.Decl s2)) t1 t2
+ | Cic.Prod (Cic.Name n1, s1, t1),
+ Cic.Prod ((Cic.Name n2) as name , s2, t2)
+ | Cic.Lambda (Cic.Name n1, s1, t1),
+ Cic.Lambda ((Cic.Name n2) as name, s2, t2) when n1 = n2->
+ aux context s1 s2 @ aux (add_ctx context name (Cic.Decl s2)) t1 t2
+ | Cic.Prod (name1, s1, t1), Cic.Prod (name2, s2, t2)
+ | Cic.Lambda (name1, s1, t1), Cic.Lambda (name2, s2, t2) -> []
+ | 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.Appl terms1, Cic.Appl terms2 -> auxs context terms1 terms2
+ | Cic.Var (_, subst1), Cic.Var (_, subst2)
+ | Cic.Const (_, subst1), Cic.Const (_, subst2)
+ | Cic.MutInd (_, _, subst1), Cic.MutInd (_, _, subst2)
+ | Cic.MutConstruct (_, _, _, subst1), Cic.MutConstruct (_, _, _, subst2) ->
+ auxs context (List.map snd subst1) (List.map snd subst2)
+ | 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 terms1 terms2 = (* as aux for list of terms *)
+ List.concat (List.map2 (fun t1 t2 -> aux context t1 t2) terms1 terms2)
+ in
+ let roots = aux context where term in
+ match wanted with
+ None -> roots
+ | Some wanted ->
+ let rec find_in_roots =
+ function
+ [] -> []
+ | (context,where)::tl ->
+ let tl' = find_in_roots tl in
+ let found =
+ let wanted = CicSubstitution.lift (List.length context) wanted in
+ find_subterms ~wanted ~context where
+ in
+ found @ tl'
+ in
+ find_in_roots roots
+
+let pattern_of ?(equality=(==)) ~term terms =
+ let (===) x y = equality x y in
+ let rec aux t =
+ match t with
+ | t when List.exists (fun t' -> t === t') terms -> Cic.Implicit (Some `Hole)
+ | Cic.Var (uri, subst) -> Cic.Var (uri, aux_subst subst)
+ | Cic.Meta (i, ctxt) ->
+ let ctxt =
+ List.map (function None -> None | Some t -> Some (aux t)) ctxt
+ in
+ Cic.Meta (i, ctxt)
+ | Cic.Cast (t, ty) -> Cic.Cast (aux t, aux ty)
+ | Cic.Prod (name, s, t) -> Cic.Prod (name, aux s, aux t)
+ | Cic.Lambda (name, s, t) -> Cic.Lambda (name, aux s, aux t)
+ | Cic.LetIn (name, s, t) -> Cic.LetIn (name, aux s, aux t)
+ | Cic.Appl terms -> Cic.Appl (List.map aux terms)
+ | Cic.Const (uri, subst) -> Cic.Const (uri, aux_subst subst)
+ | Cic.MutInd (uri, tyno, subst) -> Cic.MutInd (uri, tyno, aux_subst subst)
+ | Cic.MutConstruct (uri, tyno, consno, subst) ->
+ Cic.MutConstruct (uri, tyno, consno, aux_subst subst)
+ | Cic.MutCase (uri, tyno, outty, t, pat) ->
+ Cic.MutCase (uri, tyno, aux outty, aux t, List.map aux pat)
+ | Cic.Fix (funno, funs) ->
+ let funs =
+ List.map (fun (name, i, ty, bo) -> (name, i, aux ty, aux bo)) funs
+ in
+ Cic.Fix (funno, funs)
+ | Cic.CoFix (funno, funs) ->
+ let funs =
+ List.map (fun (name, ty, bo) -> (name, aux ty, aux bo)) funs
+ in
+ Cic.CoFix (funno, funs)
+ | Cic.Rel _
+ | Cic.Sort _
+ | Cic.Implicit _ -> t
+ and aux_subst subst =
+ List.map (fun (uri, t) -> (uri, aux t)) subst
+ in
+ aux term
+
projects / helm.git / blobdiff