open Utils;;
+type equality =
+ int * (* weight *)
+ proof *
+ (Cic.term * (* type *)
+ Cic.term * (* left side *)
+ Cic.term * (* right side *)
+ Utils.comparison) * (* ordering *)
+ Cic.metasenv * (* environment for metas *)
+ Cic.term list (* arguments *)
+
+and proof =
+ | BasicProof of Cic.term
+ | ProofBlock of
+ Cic.substitution * UriManager.uri *
+ (* name, ty, eq_ty, left, right *)
+ (Cic.name * Cic.term * Cic.term * Cic.term * Cic.term) *
+ (Utils.pos * equality) * equality
+ | NoProof
+;;
+
+
let string_of_equality ?env =
match env with
| None -> (
function
- | _, (ty, left, right, o), _, _ ->
- Printf.sprintf "{%s}: %s =(%s) %s" (CicPp.ppterm ty)
+ | w, _, (ty, left, right, o), _, _ ->
+ Printf.sprintf "Weight: %d, {%s}: %s =(%s) %s" w (CicPp.ppterm ty)
(CicPp.ppterm left) (string_of_comparison o) (CicPp.ppterm right)
)
| Some (_, context, _) -> (
let names = names_of_context context in
function
- | _, (ty, left, right, o), _, _ ->
- Printf.sprintf "{%s}: %s =(%s) %s" (CicPp.pp ty names)
+ | w, _, (ty, left, right, o), _, _ ->
+ Printf.sprintf "Weight: %d, {%s}: %s =(%s) %s" w (CicPp.pp ty names)
(CicPp.pp left names) (string_of_comparison o)
(CicPp.pp right names)
)
;;
+let rec build_term_proof equality =
+(* Printf.printf "build_term_proof %s" (string_of_equality equality); *)
+(* print_newline (); *)
+ let _, proof, _, _, _ = equality in
+ match proof with
+ | NoProof ->
+ Printf.fprintf stderr "WARNING: no proof for %s\n"
+ (string_of_equality equality);
+ Cic.Implicit None
+ | BasicProof term -> term
+ | ProofBlock (subst, eq_URI, t', (pos, eq), eq') ->
+ let name, ty, eq_ty, left, right = t' in
+ let bo =
+ Cic.Appl [Cic.MutInd (HelmLibraryObjects.Logic.eq_URI, 0, []);
+ eq_ty; left; right]
+ in
+ let t' = Cic.Lambda (name, ty, CicSubstitution.lift 1 bo) in
+(* Printf.printf " ProofBlock: eq = %s, eq' = %s" *)
+(* (string_of_equality eq) (string_of_equality eq'); *)
+(* print_newline (); *)
+ let proof' = build_term_proof eq in
+ let eqproof = build_term_proof eq' in
+ let _, _, (ty, what, other, _), menv', args' = eq in
+ let what, other = if pos = Utils.Left then what, other else other, what in
+ CicMetaSubst.apply_subst subst
+ (Cic.Appl [Cic.Const (eq_URI, []); ty;
+ what; t'; eqproof; other; proof'])
+;;
+
+
let rec metas_of_term = function
| Cic.Meta (i, c) -> [i]
| Cic.Var (_, ens)
let meta_convertibility_eq eq1 eq2 =
- let _, (ty, left, right, _), _, _ = eq1
- and _, (ty', left', right', _), _, _ = eq2 in
+ let _, _, (ty, left, right, _), _, _ = eq1
+ and _, _, (ty', left', right', _), _, _ = eq2 in
if ty <> ty' then
false
else if (left = left') && (right = right') then
;;
-type equality =
- Cic.term * (* proof *)
- (Cic.term * (* type *)
- Cic.term * (* left side *)
- Cic.term * (* right side *)
- Utils.comparison) * (* ordering *)
- Cic.metasenv * (* environment for metas *)
- Cic.term list (* arguments *)
-;;
-
-
let find_equalities ?(eq_uri=HelmLibraryObjects.Logic.eq_URI) context proof =
let module C = Cic in
let module S = CicSubstitution in
match term with
| C.Prod (name, s, t) ->
(* let newmeta = ProofEngineHelpers.new_meta_of_proof ~proof in *)
- let (head, newmetas, args, _) =
- PrimitiveTactics.new_metasenv_for_apply newmeta proof
+ let (head, newmetas, args, newmeta) =
+ ProofEngineHelpers.saturate_term newmeta []
context (S.lift index term)
in
- let newmeta =
- List.fold_left
- (fun maxm arg ->
- match arg with
- | C.Meta (i, _) -> (max maxm i)
- | _ -> assert false)
- newmeta args
- in
let p =
if List.length args = 0 then
C.Rel index
| C.Appl [C.MutInd (uri, _, _); ty; t1; t2] when uri = eq_uri ->
Printf.printf "OK: %s\n" (CicPp.ppterm term);
let o = !Utils.compare_terms t1 t2 in
- Some (p, (ty, t1, t2, o), newmetas, args), (newmeta+1)
+ 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 uri = eq_uri ->
let t1 = S.lift index t1
and t2 = S.lift index t2 in
let o = !Utils.compare_terms t1 t2 in
- Some (C.Rel index, (ty, t1, t2, o), [], []), (newmeta+1)
+ let w = compute_equality_weight ty t1 t2 in
+ let e = (w, BasicProof (C.Rel index), (ty, t1, t2, o), [], []) in
+ Some e, (newmeta+1)
| _ -> None, newmeta
in (
match do_find context term with
;;
-let fix_metas newmeta ((proof, (ty, left, right, o), menv, args) as equality) =
+let fix_metas newmeta ((w, p, (ty, left, right, o), menv, args) as equality) =
let table = Hashtbl.create (List.length args) in
let newargs, _ =
List.fold_right
(function Cic.Meta (i, _) -> List.mem i metas | _ -> assert false) newargs
in
(newmeta + (List.length newargs) + 1,
- (repl proof, (ty, left, right, o), menv', newargs))
+ (w, p, (ty, left, right, o), menv', newargs))
;;
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 o = !Utils.compare_terms t1 t2 in
- (proof, (ty, t1, t2, o), [], [])
+ let w = compute_equality_weight ty t1 t2 in
+ let e = (w, BasicProof proof, (ty, t1, t2, o), [], []) in
+ e
+(* (proof, (ty, t1, t2, o), [], []) *)
| _ ->
raise TermIsNotAnEquality
;;
type environment = Cic.metasenv * Cic.context * CicUniv.universe_graph;;
+(*
let superposition_left (metasenv, context, ugraph) target source =
let module C = Cic in
let module S = CicSubstitution 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
+ | ((_, _, (ty, left, right, _), _, _) as equality) ->
+ (left = right ||
+ (fst (CicReduction.are_convertible context left right ugraph)))
;;
+(*
let demodulation newmeta (metasenv, context, ugraph) target source =
let module C = Cic in
let module S = CicSubstitution in
);
res
;;
+*)
let extract_differing_subterms t1 t2 =
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