;;
+(*
let replace_metas (* context *) term =
let module C = Cic in
let rec aux = function
i, (c, restore_metas (* context *) t, ty))
subst
;;
+*)
let rec check_irl start = function
| Cic.Appl l -> List.for_all is_simple_term l
| Cic.Meta (i, l) -> check_irl 1 l
| Cic.Rel _ -> true
+ | Cic.Const _ -> true
| _ -> false
;;
let module U = CicUnification in
let lookup = lookup_subst in
let rec occurs_check subst what where =
- (* Printf.printf "occurs_check %s %s" *)
- (* (CicPp.ppterm what) (CicPp.ppterm where); *)
- (* print_newline (); *)
match where with
| t when what = t -> true
| C.Appl l -> List.exists (occurs_check subst what) l
| _ -> false
in
let rec unif subst menv s t =
-(* Printf.printf "unif %s %s\n%s\n" (CicPp.ppterm s) (CicPp.ppterm t) *)
-(* (print_subst subst); *)
-(* print_newline (); *)
let s = match s with C.Meta _ -> lookup s subst | _ -> s
and t = match t with C.Meta _ -> lookup t subst | _ -> t
in
- (* Printf.printf "after apply_subst: %s %s\n%s" *)
- (* (CicPp.ppterm s) (CicPp.ppterm t) (print_subst subst); *)
- (* print_newline (); *)
match s, t with
| s, t when s = t -> subst, menv
| C.Meta (i, _), C.Meta (j, _) when i > j ->
unif subst menv t s
| C.Meta _, t when occurs_check subst s t ->
raise (U.UnificationFailure "Inference.unification.unif")
-(* | C.Meta (i, l), C.Meta (j, l') -> *)
-(* let _, _, ty = CicUtil.lookup_meta i menv in *)
-(* let _, _, ty' = CicUtil.lookup_meta j menv in *)
-(* let binding1 = lookup s subst in *)
-(* let binding2 = lookup t subst in *)
-(* let subst, menv = *)
-(* if binding1 != s then *)
-(* if binding2 != t then *)
-(* unif subst menv binding1 binding2 *)
-(* else *)
-(* if binding1 = t then *)
-(* subst, menv *)
-(* else *)
-(* ((j, (context, binding1, ty'))::subst, *)
-(* List.filter (fun (m, _, _) -> j <> m) menv) *)
-(* else *)
-(* if binding2 != t then *)
-(* if s = binding2 then *)
-(* subst, menv *)
-(* else *)
-(* ((i, (context, binding2, ty))::subst, *)
-(* List.filter (fun (m, _, _) -> i <> m) menv) *)
-(* else *)
-(* ((i, (context, t, ty))::subst, *)
-(* List.filter (fun (m, _, _) -> i <> m) menv) *)
-(* in *)
-(* subst, menv *)
-
- | C.Meta (i, l), t ->
- let _, _, ty = CicUtil.lookup_meta i menv in
- let subst =
- if not (List.mem_assoc i subst) then (i, (context, t, ty))::subst
- else subst
- in
- let menv = List.filter (fun (m, _, _) -> i <> m) menv in
- subst, menv
+ | C.Meta (i, l), t -> (
+ try
+ let _, _, ty = CicUtil.lookup_meta i menv in
+ let subst =
+ if not (List.mem_assoc i subst) then (i, (context, t, ty))::subst
+ else subst
+ in
+ let menv = menv in (* List.filter (fun (m, _, _) -> i <> m) menv in *)
+ subst, menv
+ with CicUtil.Meta_not_found m ->
+ let names = names_of_context context in
+ debug_print (
+ Printf.sprintf "Meta_not_found %d!: %s %s\n%s\n\n%s" m
+ (CicPp.pp t1 names) (CicPp.pp t2 names)
+ (print_metasenv menv) (print_metasenv metasenv));
+ assert false
+ )
| _, C.Meta _ -> unif subst menv t s
| C.Appl (hds::_), C.Appl (hdt::_) when hds <> hdt ->
raise (U.UnificationFailure "Inference.unification.unif")
List.fold_left2
(fun (subst', menv) s t -> unif subst' menv s t)
(subst, menv) tls tlt
- with e ->
+ with Invalid_argument _ ->
raise (U.UnificationFailure "Inference.unification.unif")
)
| _, _ -> raise (U.UnificationFailure "Inference.unification.unif")
in
let subst, menv = unif [] metasenv t1 t2 in
- (* Printf.printf "DONE!: subst = \n%s\n" (print_subst subst); *)
- (* print_newline (); *)
-(* let rec fix_term = function *)
-(* | (C.Meta (i, l) as t) -> *)
-(* lookup t subst *)
-(* | C.Appl l -> C.Appl (List.map fix_term l) *)
-(* | t -> t *)
-(* in *)
-(* let rec fix_subst = function *)
-(* | [] -> [] *)
-(* | (i, (c, t, ty))::tl -> (i, (c, fix_term t, fix_term ty))::(fix_subst tl) *)
-(* in *)
-(* List.rev (fix_subst subst), menv, ugraph *)
+ let menv =
+ List.filter
+ (fun (m, _, _) ->
+ try let _ = List.find (fun (i, _) -> m = i) subst in false
+ with Not_found -> true)
+ menv
+ in
List.rev subst, menv, ugraph
;;
List.fold_left2
(fun (subst, menv) s t -> do_match subst menv s t)
(subst, menv) ls lt
- with e ->
+ with Invalid_argument _ ->
(* print_endline (Printexc.to_string e); *)
(* Printf.printf "NO MATCH: %s %s\n" (CicPp.ppterm s) (CicPp.ppterm t); *)
(* print_newline (); *)
(* (\* print_newline (); *\) *)
(* subst, menv, ug *)
(* else *)
+(* Printf.printf "matching %s %s" (CicPp.ppterm t1) (CicPp.ppterm t2); *)
+(* print_newline (); *)
try
let subst, metasenv, ugraph =
(* CicUnification.fo_unif metasenv context t1 t2 ugraph *)
(* print_newline (); *)
subst, metasenv, ugraph
- with e ->
+ with
+ | CicUnification.UnificationFailure _
+ | CicUnification.Uncertain _ ->
(* Printf.printf "failed to match %s %s\n" *)
(* (CicPp.ppterm t1) (CicPp.ppterm t2); *)
+(* print_endline (Printexc.to_string e); *)
raise MatchingFailure
;;
let module S = CicSubstitution in
let module C = Cic in
- let print_info = false in
-
(* let _ = *)
(* let names = names_of_context context in *)
(* Printf.printf "beta_expand:\nwhat: %s, %s\nwhere: %s, %s\n" *)
(* else *)
((C.Rel (1 + lift_amount), subst', metasenv', ugraph')::res,
lifted_term)
- with e ->
- if print_info then (
- print_endline ("beta_expand ERROR!: " ^ (Printexc.to_string e));
- );
- res, lifted_term
+ with
+ | MatchingFailure
+ | CicUnification.UnificationFailure _
+ | CicUnification.Uncertain _ ->
+ res, lifted_term
in
(* Printf.printf "exit aux\n"; *)
retval
(* if match_only then replace_metas (\* context *\) where *)
(* else where *)
(* in *)
- if print_info then (
- Printf.printf "searching %s inside %s\n"
- (CicPp.ppterm what) (CicPp.ppterm where);
- );
aux 0 where context metasenv [] ugraph
in
let mapfun =
let module S = CicSubstitution in
let module T = CicTypeChecker in
let newmeta = ProofEngineHelpers.new_meta_of_proof ~proof in
+ let ok_types ty menv =
+ List.for_all (fun (_, _, mt) -> mt = ty) menv
+ in
let rec aux index newmeta = function
| [] -> [], newmeta
| (Some (_, C.Decl (term)))::tl ->
C.Appl ((C.Rel index)::args)
in (
match head with
- | C.Appl [C.MutInd (uri, _, _); ty; t1; t2] when uri = eq_uri ->
- Printf.printf "OK: %s\n" (CicPp.ppterm term);
+ | C.Appl [C.MutInd (uri, _, _); ty; t1; t2]
+ when (UriManager.eq uri eq_uri) && (ok_types ty newmetas) ->
+ debug_print (
+ Printf.sprintf "OK: %s" (CicPp.ppterm term));
+(* debug_print ( *)
+(* Printf.sprintf "args: %s\n" *)
+(* (String.concat ", " (List.map CicPp.ppterm args))); *)
+(* debug_print ( *)
+(* Printf.sprintf "newmetas:\n%s\n" *)
+(* (print_metasenv newmetas)); *)
let o = !Utils.compare_terms t1 t2 in
let w = compute_equality_weight ty t1 t2 in
let proof = BasicProof p in
Some e, (newmeta+1)
| _ -> None, newmeta
)
- | C.Appl [C.MutInd (uri, _, _); ty; t1; t2] when uri = eq_uri ->
+ | C.Appl [C.MutInd (uri, _, _); ty; t1; t2]
+ when UriManager.eq uri eq_uri ->
let t1 = S.lift index t1
and t2 = S.lift index t2 in
let o = !Utils.compare_terms t1 t2 in
;;
+let equations_blacklist =
+ List.fold_left
+ (fun s u -> UriManager.UriSet.add (UriManager.uri_of_string u) s)
+ UriManager.UriSet.empty [
+ "cic:/Coq/Init/Logic/eq.ind#xpointer(1/1/1)";
+ "cic:/Coq/Init/Logic/trans_eq.con";
+ "cic:/Coq/Init/Logic/f_equal.con";
+ "cic:/Coq/Init/Logic/f_equal2.con";
+ "cic:/Coq/Init/Logic/f_equal3.con";
+ "cic:/Coq/Init/Logic/sym_eq.con";
+(* "cic:/Coq/Logic/Eqdep/UIP_refl.con"; *)
+(* "cic:/Coq/Init/Peano/mult_n_Sm.con"; *)
+ ]
+;;
+
+let find_library_equalities ~(dbd:Mysql.dbd) context status maxmeta =
+ let module C = Cic in
+ let module S = CicSubstitution in
+ let module T = CicTypeChecker in
+ let candidates =
+ List.fold_left
+ (fun l uri ->
+ if UriManager.UriSet.mem uri equations_blacklist then
+ l
+ else
+ let t = CicUtil.term_of_uri uri in
+ let ty, _ =
+ CicTypeChecker.type_of_aux' [] context t CicUniv.empty_ugraph
+ in
+ (t, ty)::l)
+ []
+ (MetadataQuery.equations_for_goal ~dbd status)
+ in
+ let eq_uri1 = UriManager.uri_of_string HelmLibraryObjects.Logic.eq_XURI
+ and eq_uri2 = HelmLibraryObjects.Logic.eq_URI in
+ let iseq uri =
+ (UriManager.eq uri eq_uri1) || (UriManager.eq uri eq_uri2)
+ in
+ let ok_types ty menv =
+ List.for_all (fun (_, _, mt) -> mt = ty) menv
+ in
+ let rec aux newmeta = function
+ | [] -> [], newmeta
+ | (term, termty)::tl ->
+ let res, newmeta =
+ match termty with
+ | C.Prod (name, s, t) ->
+ let head, newmetas, args, newmeta =
+ ProofEngineHelpers.saturate_term newmeta [] context termty
+ in
+ let p =
+ if List.length args = 0 then
+ term
+ else
+ C.Appl (term::args)
+ in (
+ match head with
+ | C.Appl [C.MutInd (uri, _, _); ty; t1; t2]
+ when (iseq uri) && (ok_types ty newmetas) ->
+ debug_print (
+ Printf.sprintf "OK: %s" (CicPp.ppterm term));
+ let o = !Utils.compare_terms t1 t2 in
+ let w = compute_equality_weight ty t1 t2 in
+ let proof = BasicProof p in
+ let e = (w, proof, (ty, t1, t2, o), newmetas, args) in
+ Some e, (newmeta+1)
+ | _ -> None, newmeta
+ )
+ | C.Appl [C.MutInd (uri, _, _); ty; t1; t2] when iseq uri ->
+ let o = !Utils.compare_terms t1 t2 in
+ let w = compute_equality_weight ty t1 t2 in
+ let e = (w, BasicProof term, (ty, t1, t2, o), [], []) in
+ Some e, (newmeta+1)
+ | _ -> None, newmeta
+ in
+ match res with
+ | Some e ->
+ let tl, newmeta' = aux newmeta tl in
+ e::tl, max newmeta newmeta'
+ | None ->
+ aux newmeta tl
+ in
+ aux maxmeta candidates
+;;
+
+
let fix_metas newmeta ((w, p, (ty, left, right, o), menv, args) as equality) =
(* print_endline ("fix_metas " ^ (string_of_int newmeta)); *)
let table = Hashtbl.create (List.length args) in
(* (i, (context, Cic.Meta (j, l), ty))::s *)
let _, context, ty = CicUtil.lookup_meta i menv in
(i, (context, Cic.Meta (j, l), ty))::s
- with _ -> s
+ with Not_found -> s
)
| _ -> assert false)
[] args
;;
+let term_is_equality ?(eq_uri=HelmLibraryObjects.Logic.eq_URI) term =
+ let iseq uri = UriManager.eq uri eq_uri in
+ match term with
+ | Cic.Appl [Cic.MutInd (uri, _, _); _; _; _] when iseq uri -> true
+ | _ -> false
+;;
+
+
exception TermIsNotAnEquality;;
-let equality_of_term ?(eq_uri=HelmLibraryObjects.Logic.eq_URI) proof = function
- | Cic.Appl [Cic.MutInd (uri, _, _); ty; t1; t2] when uri = eq_uri ->
+let equality_of_term ?(eq_uri=HelmLibraryObjects.Logic.eq_URI) proof term =
+ let iseq uri = UriManager.eq uri eq_uri in
+ match term with
+ | Cic.Appl [Cic.MutInd (uri, _, _); ty; t1; t2] when iseq uri ->
let o = !Utils.compare_terms t1 t2 in
let w = compute_equality_weight ty t1 t2 in
let e = (w, BasicProof proof, (ty, t1, t2, o), [], []) in
| hd::[] -> Some hd
| _ -> None
;;
+
+