match t1, t2 with
| t1, t2 when t1 = t2 -> table
| C.Meta (m1, tl1), C.Meta (m2, tl2) ->
- let m1_binding, table =
- try List.assoc m1 table, table
- with Not_found -> m2, (m1, m2)::table
+ let m1_binding, m2_binding, table =
+ let m1b, table =
+ try List.assoc m1 table, table
+ with Not_found -> m2, (m1, m2)::table
+ in
+ let m2b, table =
+ try List.assoc m2 table, table
+ with Not_found -> m1, (m2, m1)::table
+ in
+ m1b, m2b, table
in
- if m1_binding <> m2 then
+ if m1_binding <> m2 || m2_binding <> m1 then
raise NotMetaConvertible
else (
try
in
try
let table = meta_convertibility_aux [] left left' in
-(* print_table table "before"; *)
let _ = meta_convertibility_aux table right right' in
-(* print_table table "after"; *)
+(* Printf.printf "meta_convertibility_eq, ok:\n%s\n%s\n" *)
+(* (string_of_equality eq1) (string_of_equality eq2); *)
+(* print_newline (); *)
true
with NotMetaConvertible ->
-(* Printf.printf "NotMetaConvertible:\n%s = %s\n%s = %s\n\n" *)
-(* (CicPp.ppterm left) (CicPp.ppterm right) *)
-(* (CicPp.ppterm left') (CicPp.ppterm right'); *)
try
let table = meta_convertibility_aux [] left right' in
let _ = meta_convertibility_aux table right left' in
+(* Printf.printf "meta_convertibility_eq, ok:\n%s\n%s\n" *)
+(* (string_of_equality eq1) (string_of_equality eq2); *)
+(* print_newline (); *)
true
with NotMetaConvertible ->
false
what type_of_what where context metasenv ugraph =
let module S = CicSubstitution in
let module C = Cic in
+(* let _ = *)
+(* let names = names_of_context context in *)
+(* Printf.printf "beta_expand:\nwhat: %s, %s\nwhere: %s, %s\n" *)
+(* (CicPp.pp what names) (CicPp.ppterm what) *)
+(* (CicPp.pp where names) (CicPp.ppterm where); *)
+(* print_newline (); *)
+(* in *)
(*
return value:
((list of all possible beta expansions, subst, metasenv, ugraph),
| _ ->
try
let subst', metasenv', ugraph' =
+(* Printf.printf "provo a unificare %s e %s\n" *)
+(* (CicPp.ppterm (S.lift lift_amount what)) (CicPp.ppterm term); *)
CicUnification.fo_unif metasenv context
(S.lift lift_amount what) term ugraph
in
(* Printf.printf "metasenv': %s\n" (print_metasenv metasenv'); *)
(* Printf.printf "metasenv: %s\n\n" (print_metasenv metasenv); *)
if match_only then
- let term' = CicMetaSubst.apply_subst subst' term in
- if not (meta_convertibility term term') then (
-(* let names = names_of_context context in *)
-(* Printf.printf "\nterm e term' sono diversi!:\n%s\n%s\n\n" *)
-(* (CicPp.pp term names) (CicPp.pp term' names); *)
+ let t' = CicMetaSubst.apply_subst subst' term in
+ if not (meta_convertibility term t') then (
+ let names = names_of_context context in
+(* Printf.printf "\nbeta_expand: term e t' sono diversi!:\n%s\n%s\n\n" *)
+(* (CicPp.pp term names) (CicPp.pp t' names); *)
res, lifted_term
)
else
else
((C.Rel (1 + lift_amount), subst', metasenv', ugraph')::res,
lifted_term)
- with _ ->
+ with e ->
+(* print_endline ("beta_expand ERROR!: " ^ (Printexc.to_string e)); *)
res, lifted_term
in
(* Printf.printf "exit aux\n"; *)
let fix_metas newmeta ((proof, (ty, left, right), menv, args) as equality) =
+ let table = Hashtbl.create (List.length args) in
let newargs, _ =
List.fold_right
(fun t (newargs, index) ->
match t with
- | Cic.Meta (i, l) -> ((Cic.Meta (index, l))::newargs, index+1)
+ | Cic.Meta (i, l) ->
+ Hashtbl.add table i index;
+ ((Cic.Meta (index, l))::newargs, index+1)
| _ -> assert false)
args ([], newmeta)
in
ProofEngineReduction.replace ~equality:(=) ~what:args ~with_what:newargs
~where
in
- let menv', _ =
+ let menv' =
List.fold_right
- (fun (i, context, term) (menv, index) ->
- ((index, context, term)::menv, index+1))
- menv ([], newmeta)
+ (fun (i, context, term) menv ->
+ try
+ let index = Hashtbl.find table i in
+ (index, context, term)::menv
+ with Not_found ->
+ (i, context, term)::menv)
+ menv []
in
(newmeta + (List.length newargs) + 1,
(repl proof, (repl ty, repl left, repl right), menv', newargs))
let eqproof, (ty, t1, t2), newmetas, args = source in
(* ALB: TODO check that ty and eq_ty are indeed equal... *)
- assert (eq_ty = ty);
-
- let where, is_left =
- match nonrec_kbo left right with
- | Lt -> right, false
- | Gt -> left, true
- | _ -> (
- Printf.printf "????????? %s = %s" (CicPp.ppterm left)
- (CicPp.ppterm right);
- print_newline ();
- assert false (* again, for ground terms this shouldn't happen... *)
- )
- in
- let metasenv' = newmetas @ metasenv in
- let res1 =
- List.filter
- (fun (t, s, m, ug) ->
- nonrec_kbo (M.apply_subst s t1) (M.apply_subst s t2) = Gt)
- (beta_expand t1 ty where context metasenv' ugraph)
- and res2 =
- List.filter
- (fun (t, s, m, ug) ->
- nonrec_kbo (M.apply_subst s t2) (M.apply_subst s t1) = Gt)
- (beta_expand t2 ty where context metasenv' ugraph)
- in
-(* let what, other = *)
-(* if is_left then left, right *)
-(* else right, left *)
-(* in *)
- let build_new what other eq_URI (t, s, m, ug) =
- let newgoal, newgoalproof =
- match t with
- | C.Lambda (nn, ty, bo) ->
- let bo' = S.subst (M.apply_subst s other) bo in
- let bo'' =
- C.Appl (
- [C.MutInd (HL.Logic.eq_URI, 0, []);
- S.lift 1 eq_ty] @
- if is_left then [bo'; S.lift 1 right] else [S.lift 1 left; bo'])
- in
- let t' = C.Lambda (nn, ty, bo'') in
- S.subst (M.apply_subst s other) bo,
- M.apply_subst s
- (C.Appl [C.Const (eq_URI, []); ty; what; t';
- proof; other; eqproof])
- | _ -> assert false
+ (* assert (eq_ty = ty); *)
+
+ if eq_ty <> ty then
+ []
+ else
+ let where, is_left =
+ match nonrec_kbo left right with
+ | Lt -> right, false
+ | Gt -> left, true
+ | _ -> (
+ Printf.printf "????????? %s = %s" (CicPp.ppterm left)
+ (CicPp.ppterm right);
+ print_newline ();
+ assert false (* again, for ground terms this shouldn't happen... *)
+ )
in
- let equation =
- if is_left then (eq_ty, newgoal, right)
- else (eq_ty, left, newgoal)
+ let metasenv' = newmetas @ metasenv in
+ let res1 =
+ List.filter
+ (fun (t, s, m, ug) ->
+ nonrec_kbo (M.apply_subst s t1) (M.apply_subst s t2) = Gt)
+ (beta_expand t1 ty where context metasenv' ugraph)
+ and res2 =
+ List.filter
+ (fun (t, s, m, ug) ->
+ nonrec_kbo (M.apply_subst s t2) (M.apply_subst s t1) = Gt)
+ (beta_expand t2 ty where context metasenv' ugraph)
in
- (eqproof, equation, [], [])
- in
- let new1 = List.map (build_new t1 t2 HL.Logic.eq_ind_URI) res1
- and new2 = List.map (build_new t2 t1 HL.Logic.eq_ind_r_URI) res2 in
- new1 @ new2
+ (* let what, other = *)
+ (* if is_left then left, right *)
+ (* else right, left *)
+ (* in *)
+ let build_new what other eq_URI (t, s, m, ug) =
+ let newgoal, newgoalproof =
+ match t with
+ | C.Lambda (nn, ty, bo) ->
+ let bo' = S.subst (M.apply_subst s other) bo in
+ let bo'' =
+ C.Appl (
+ [C.MutInd (HL.Logic.eq_URI, 0, []);
+ S.lift 1 eq_ty] @
+ if is_left then [bo'; S.lift 1 right]
+ else [S.lift 1 left; bo'])
+ in
+ let t' = C.Lambda (nn, ty, bo'') in
+ S.subst (M.apply_subst s other) bo,
+ M.apply_subst s
+ (C.Appl [C.Const (eq_URI, []); ty; what; t';
+ proof; other; eqproof])
+ | _ -> assert false
+ in
+ let equation =
+ if is_left then (eq_ty, newgoal, right)
+ else (eq_ty, left, newgoal)
+ in
+ (eqproof, equation, [], [])
+ in
+ let new1 = List.map (build_new t1 t2 HL.Logic.eq_ind_URI) res1
+ and new2 = List.map (build_new t2 t1 HL.Logic.eq_ind_r_URI) res2 in
+ new1 @ new2
;;
let maxmeta = ref newmeta in
(* TODO check if ty and ty' are equal... *)
- assert (eq_ty = ty');
-
-(* let ok term subst other other_eq_side ugraph = *)
-(* match term with *)
-(* | C.Lambda (nn, ty, bo) -> *)
-(* let bo' = S.subst (M.apply_subst subst other) bo in *)
-(* let res, _ = CR.are_convertible context bo' other_eq_side ugraph in *)
-(* not res *)
-(* | _ -> assert false *)
-(* in *)
- let condition left right what other (t, s, m, ug) =
- let subst = M.apply_subst s in
- let cmp1 = nonrec_kbo (subst what) (subst other) in
- let cmp2 = nonrec_kbo (subst left) (subst right) in
-(* cmp1 = Gt && cmp2 = Gt *)
- cmp1 <> Lt && cmp1 <> Le && cmp2 <> Lt && cmp2 <> Le
-(* && (ok t s other right ug) *)
- in
- let metasenv' = metasenv @ newmetas @ newm' in
- let beta_expand = beta_expand ~metas_ok:false in
- let res1 =
- List.filter
- (condition left right t1 t2)
- (beta_expand t1 eq_ty left context metasenv' ugraph)
- and res2 =
- List.filter
- (condition left right t2 t1)
- (beta_expand t2 eq_ty left context metasenv' ugraph)
- and res3 =
- List.filter
- (condition right left t1 t2)
- (beta_expand t1 eq_ty right context metasenv' ugraph)
- and res4 =
- List.filter
- (condition right left t2 t1)
- (beta_expand t2 eq_ty right context metasenv' ugraph)
- in
- let newmetas = newmetas @ newm' in
- let newargs = args @ args' in
- let build_new what other is_left eq_URI (t, s, m, ug) =
-(* let what, other = *)
-(* if is_left then left, right *)
-(* else right, left *)
-(* in *)
- let newterm, neweqproof =
- match t with
- | C.Lambda (nn, ty, bo) ->
- let bo' = M.apply_subst s (S.subst other bo) in
- let bo'' =
- C.Appl (
- [C.MutInd (HL.Logic.eq_URI, 0, []); S.lift 1 eq_ty] @
- if is_left then [bo'; S.lift 1 right] else [S.lift 1 left; bo'])
- in
- let t' = C.Lambda (nn, ty, bo'') in
- bo',
- M.apply_subst s
- (C.Appl [C.Const (eq_URI, []); ty; what; t'; eqproof; other; eqp'])
- | _ -> assert false
+ (* assert (eq_ty = ty'); *)
+
+ if eq_ty <> ty' then
+ newmeta, []
+ else
+ (* let ok term subst other other_eq_side ugraph = *)
+ (* match term with *)
+ (* | C.Lambda (nn, ty, bo) -> *)
+ (* let bo' = S.subst (M.apply_subst subst other) bo in *)
+ (* let res, _ = CR.are_convertible context bo' other_eq_side ugraph in *)
+ (* not res *)
+ (* | _ -> assert false *)
+ (* in *)
+ let condition left right what other (t, s, m, ug) =
+ let subst = M.apply_subst s in
+ let cmp1 = nonrec_kbo (subst what) (subst other) in
+ let cmp2 = nonrec_kbo (subst left) (subst right) in
+ (* cmp1 = Gt && cmp2 = Gt *)
+ cmp1 <> Lt && cmp1 <> Le && cmp2 <> Lt && cmp2 <> Le
+ (* && (ok t s other right ug) *)
in
- let newmeta, newequality =
- let left, right =
- if is_left then (newterm, M.apply_subst s right)
- else (M.apply_subst s left, newterm) in
- fix_metas !maxmeta
- (neweqproof, (eq_ty, left, right), newmetas, newargs)
+ let metasenv' = metasenv @ newmetas @ newm' in
+ let beta_expand = beta_expand ~metas_ok:false in
+ let res1 =
+ List.filter
+ (condition left right t1 t2)
+ (beta_expand t1 eq_ty left context metasenv' ugraph)
+ and res2 =
+ List.filter
+ (condition left right t2 t1)
+ (beta_expand t2 eq_ty left context metasenv' ugraph)
+ and res3 =
+ List.filter
+ (condition right left t1 t2)
+ (beta_expand t1 eq_ty right context metasenv' ugraph)
+ and res4 =
+ List.filter
+ (condition right left t2 t1)
+ (beta_expand t2 eq_ty right context metasenv' ugraph)
in
- maxmeta := newmeta;
- newequality
- in
- let new1 = List.map (build_new t1 t2 true HL.Logic.eq_ind_URI) res1
- and new2 = List.map (build_new t2 t1 true HL.Logic.eq_ind_r_URI) res2
- and new3 = List.map (build_new t1 t2 false HL.Logic.eq_ind_URI) res3
- and new4 = List.map (build_new t2 t1 false HL.Logic.eq_ind_r_URI) res4 in
- let ok = function
- | _, (_, left, right), _, _ ->
- not (fst (CR.are_convertible context left right ugraph))
- in
- !maxmeta, (List.filter ok (new1 @ new2 @ new3 @ new4))
+ let newmetas = newmetas @ newm' in
+ let newargs = args @ args' in
+ let build_new what other is_left eq_URI (t, s, m, ug) =
+ (* let what, other = *)
+ (* if is_left then left, right *)
+ (* else right, left *)
+ (* in *)
+ let newterm, neweqproof =
+ match t with
+ | C.Lambda (nn, ty, bo) ->
+ let bo' = M.apply_subst s (S.subst other bo) in
+ let bo'' =
+ C.Appl (
+ [C.MutInd (HL.Logic.eq_URI, 0, []); S.lift 1 eq_ty] @
+ if is_left then [bo'; S.lift 1 right]
+ else [S.lift 1 left; bo'])
+ in
+ let t' = C.Lambda (nn, ty, bo'') in
+ bo',
+ M.apply_subst s
+ (C.Appl [C.Const (eq_URI, []); ty; what; t';
+ eqproof; other; eqp'])
+ | _ -> assert false
+ in
+ let newmeta, newequality =
+ let left, right =
+ if is_left then (newterm, M.apply_subst s right)
+ else (M.apply_subst s left, newterm) in
+ fix_metas !maxmeta
+ (neweqproof, (eq_ty, left, right), newmetas, newargs)
+ in
+ maxmeta := newmeta;
+ newequality
+ in
+ let new1 = List.map (build_new t1 t2 true HL.Logic.eq_ind_URI) res1
+ and new2 = List.map (build_new t2 t1 true HL.Logic.eq_ind_r_URI) res2
+ and new3 = List.map (build_new t1 t2 false HL.Logic.eq_ind_URI) res3
+ and new4 = List.map (build_new t2 t1 false HL.Logic.eq_ind_r_URI) res4 in
+ let ok = function
+ | _, (_, left, right), _, _ ->
+ not (fst (CR.are_convertible context left right ugraph))
+ in
+ !maxmeta, (List.filter ok (new1 @ new2 @ new3 @ new4))
+;;
+
+
+let is_identity ((_, context, ugraph) as env) = function
+ | ((_, (ty, left, right), _, _) as equality) ->
+ let res =
+ (left = right ||
+ (fst (CicReduction.are_convertible context left right ugraph)))
+ in
+(* if res then ( *)
+(* Printf.printf "is_identity: %s" (string_of_equality ~env equality); *)
+(* print_newline (); *)
+(* ); *)
+ res
;;
(* "demodulate\ntarget: %s\nwhat: %s\nother: %s\nis_left: %s\n" *)
(* (string_of_equality ~env target) (CicPp.pp what names) *)
(* (CicPp.pp other names) (string_of_bool is_left); *)
-(* Printf.printf "step: %d\n" step; *)
+(* Printf.printf "step: %d" step; *)
(* print_newline (); *)
let ok (t, s, m, ug) =
in
(* print_endline "res:"; *)
(* List.iter (fun (t, s, m, ug) -> print_endline (CicPp.pp t names)) r; *)
+(* print_newline (); *)
+(* Printf.printf "metasenv:\n%s\n" (print_metasenv (metasenv @ metas)); *)
+(* print_newline (); *)
List.filter ok r
in
match res with
fix_metas newmeta
(newproof, (eq_ty, left, right), newmetasenv, newargs)
in
-(* Printf.printf *)
-(* "demodulate, newtarget: %s\ntarget was: %s\n" *)
-(* (string_of_equality ~env newtarget) *)
-(* (string_of_equality ~env target); *)
-(* print_newline (); *)
- demodulate newmeta step metasenv newtarget
+ Printf.printf
+ "demodulate, newtarget: %s\ntarget was: %s\n"
+ (string_of_equality ~env newtarget)
+ (string_of_equality ~env target);
+ print_newline ();
+ if is_identity env newtarget then
+ newmeta, newtarget
+ else
+ demodulate newmeta step metasenv newtarget
in
demodulate newmeta 3 (metasenv @ metas') target
;;
projects / helm.git / blobdiff