* http://cs.unibo.it/helm/.
*)
-module MI = CicMkImplicit
-module TC = CicTypeChecker
-module PET = ProofEngineTypes
+
module PEH = ProofEngineHelpers
module U = CicUniv
+module TC = CicTypeChecker
+module PET = ProofEngineTypes
module S = CicSubstitution
module PT = PrimitiveTactics
+module T = Tacticals
+module FNG = FreshNamesGenerator
+module MI = CicMkImplicit
+module PESR = ProofEngineStructuralRules
-let fail_msg1 = "no applicable simplification"
+let fail_msg0 = "unexported clearbody: invalid argument"
+let fail_msg2 = "fwd: no applicable simplification"
-let error msg = raise (PET.Fail msg)
+let error msg = raise (PET.Fail (lazy msg))
-(* lapply *******************************************************************)
+(* unexported tactics *******************************************************)
-let lapply_tac ?(mk_fresh_name_callback = FreshNamesGenerator.mk_fresh_name ~subst:[])
- (* ?(substs = []) *) what =
- let count_dependent_prods context t =
- let rec aux context p = function
- | Cic.Prod (name, t1, t2) ->
- if TC.does_not_occur context 0 1 t2 then p else
- let e = Some (name, Cic.Decl t1) in
- aux (e :: context) (succ p) t2
- | t -> p
- in
- aux context 0 t
+let id_tac =
+ let id_tac (proof,goal) =
+ try
+ let _, metasenv, _, _ = proof in
+ let _, _, _ = CicUtil.lookup_meta goal metasenv in
+ (proof,[goal])
+ with CicUtil.Meta_not_found _ -> (proof, [])
+ in
+ PET.mk_tactic id_tac
+
+let clearbody ~index =
+ let rec find_name index = function
+ | Some (Cic.Name name, _) :: _ when index = 1 -> name
+ | _ :: tail when index > 1 -> find_name (pred index) tail
+ | _ -> error fail_msg0
in
- let rec pad_context p context add_context =
- if List.length add_context >= p then add_context @ context
- else pad_context p context (None :: add_context)
+ let clearbody status =
+ let (proof, goal) = status in
+ let _, metasenv, _, _ = proof in
+ let _, context, _ = CicUtil.lookup_meta goal metasenv in
+ PET.apply_tactic (PESR.clearbody ~hyp:(find_name index context)) status
in
- let strip_dependent_prods metasenv context p t =
- let rec aux metasenv add_context q = function
- | Cic.Prod (name, t1, t2) when q > 0 ->
- let context_for_meta = pad_context p context add_context in
- let metasenv, index = MI.mk_implicit metasenv [] context_for_meta in
- let rs = MI.identity_relocation_list_for_metavariable context_for_meta in
- let e, s = Some (name, Cic.Decl t1), Cic.Meta (index, rs) in
- aux metasenv (e :: add_context) (pred q) (S.subst s t2)
- | t -> metasenv, add_context, t
- in
- aux metasenv [] p t
+ PET.mk_tactic clearbody
+
+(* lapply *******************************************************************)
+
+let strip_prods metasenv context ?how_many to_what term =
+ let irl = MI.identity_relocation_list_for_metavariable context in
+ let mk_meta metasenv its_type =
+ let index = MI.new_meta metasenv [] in
+ let metasenv = [index, context, its_type] @ metasenv in
+ metasenv, Cic.Meta (index, irl), index
in
- let mk_body bo = function
- | Some (name, Cic.Decl t1) -> Cic.Lambda (name, t1, bo)
- | _ -> failwith "mk_body"
+ let update_counters = function
+ | None, [] -> None, false, id_tac, []
+ | None, to_what :: tail -> None, true, PT.apply_tac ~term:to_what, tail
+ | Some hm, [] -> Some (pred hm), false, id_tac, []
+ | Some hm, to_what :: tail -> Some (pred hm), true, PT.apply_tac ~term:to_what, tail
+ in
+ let rec aux metasenv metas conts tw = function
+ | Some hm, _ when hm <= 0 -> metasenv, metas, conts
+ | xhm, Cic.Prod (Cic.Name _, t1, t2) ->
+ let metasenv, meta, index = mk_meta metasenv t1 in
+ aux metasenv (meta :: metas) (conts @ [id_tac, index]) tw (xhm, (S.subst meta t2))
+ | xhm, Cic.Prod (Cic.Anonymous, t1, t2) ->
+ let xhm, pos, tac, tw = update_counters (xhm, tw) in
+ let metasenv, meta, index = mk_meta metasenv t1 in
+ let conts = if pos then (tac, index) :: conts else conts @ [tac, index] in
+ aux metasenv (meta :: metas) conts tw (xhm, (S.subst meta t2))
+ | _, t -> metasenv, metas, conts
in
+ aux metasenv [] [] to_what (how_many, term)
+
+let lapply_tac ?(mk_fresh_name_callback = FreshNamesGenerator.mk_fresh_name ~subst:[])
+ (* ?(substs = []) *) ?how_many ?(to_what = []) what =
+ let letin_tac term = PT.letin_tac ~mk_fresh_name_callback term in
let lapply_tac (proof, goal) =
let xuri, metasenv, u, t = proof in
-(* preliminaries *)
- let metano, context, ty = CicUtil.lookup_meta goal metasenv in
+ let _, context, _ = CicUtil.lookup_meta goal metasenv in
let lemma, _ = TC.type_of_aux' metasenv context what U.empty_ugraph in
- let p = count_dependent_prods context lemma in
-(* stripping *)
- let metasenv, add_context, holed_lemma = strip_dependent_prods metasenv context p lemma in
- let proof = xuri, metasenv, u, t in
- let newmeta = MI.new_meta metasenv [] in
- let context = add_context @ context in
- let irl = MI.identity_relocation_list_for_metavariable context in
- let bo = List.fold_left mk_body (Cic.Meta (newmeta, irl)) add_context in
- let ty = S.lift p ty in
- let (xuri, metasenv, u, t), _ =
- PEH.subst_meta_in_proof proof metano bo [newmeta, context, ty]
+ let lemma = FNG.clean_dummy_dependent_types lemma in
+ let metasenv, metas, conts = strip_prods metasenv context ?how_many to_what lemma in
+ let conclusion =
+ match metas with [] -> what | _ -> Cic.Appl (what :: List.rev metas)
+ in
+ let tac = T.then_ ~start:(letin_tac conclusion)
+ ~continuation:(clearbody ~index:1)
+ in
+ let proof = (xuri, metasenv, u, t) in
+ let aux (proof, goals) (tac, goal) =
+ let proof, new_goals = PET.apply_tactic tac (proof, goal) in
+ proof, goals @ new_goals
in
- prerr_endline (CicPp.ppterm holed_lemma);
-(* cut *)
- let status = (xuri, metasenv, u, t), newmeta in
- PET.apply_tactic (PT.cut_tac ~mk_fresh_name_callback holed_lemma) status
+ List.fold_left aux (proof, []) ((tac, goal) :: conts)
in
PET.mk_tactic lapply_tac
-
+
(* fwd **********************************************************************)
-let fwd_simpl_tac ~what ~dbd =
+let fwd_simpl_tac
+ ?(mk_fresh_name_callback = FNG.mk_fresh_name ~subst:[])
+ ~dbd hyp =
+ let lapply_tac to_what lemma =
+ lapply_tac ~mk_fresh_name_callback ~how_many:1 ~to_what:[to_what] lemma
+ in
let fwd_simpl_tac status =
let (proof, goal) = status in
let _, metasenv, _, _ = proof in
let _, context, ty = CicUtil.lookup_meta goal metasenv in
- let major, _ = TC.type_of_aux' metasenv context what U.empty_ugraph in
+ let index, major = PEH.lookup_type metasenv context hyp in
match MetadataQuery.fwd_simpl ~dbd major with
- | [] -> error fail_msg1
- | uri :: _ -> prerr_endline (UriManager.string_of_uri uri); (proof, [])
+ | [] -> error fail_msg2
+ | uri :: _ ->
+ Printf.eprintf "fwd: %s\n" (UriManager.string_of_uri uri); flush stderr;
+ let start = lapply_tac (Cic.Rel index) (Cic.Const (uri, [])) in
+ let tac = T.then_ ~start ~continuation:(PESR.clear hyp) in
+ PET.apply_tactic tac status
in
PET.mk_tactic fwd_simpl_tac
projects / helm.git / blobdiff