* 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 strip_dependent_prods metasenv context t =
- let irl = MI.identity_relocation_list_for_metavariable context in
- let rec aux metasenv p xcontext = function
- | Cic.Prod (name, t1, t2) when not (TC.does_not_occur xcontext 0 1 t2) ->
- let index = MI.new_meta metasenv [] in
- let metasenv = [index, context, t1] @ metasenv in
- let e, s = Some (name, Cic.Decl t1), Cic.Meta (index, irl) in
- aux metasenv (succ p) (e :: xcontext) (S.subst s t2)
- | Cic.Prod (name, t1, t2) -> metasenv, p, Some t1, (S.subst (Cic.Rel 1) t2)
- | t -> metasenv, p, None, t
- in
- aux metasenv 0 context 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 skip_metas p =
- let rec aux conts p =
- if p <= 0 then conts else aux (T.id_tac :: conts) (pred p)
+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
- aux [] p
-
-let get_conclusion context t =
- let rec aux p context = function
- | Cic.Prod (name, t1, t2) ->
- aux (succ p) (Some (name, Cic.Decl t1) :: context) t2
- | Cic.LetIn (name, u1, t2) ->
- aux (succ p) (Some (name, Cic.Def (u1, None)) :: context) t2
- | Cic.Cast (t2, t1) -> aux p context t2
- | t -> p, context, t
- in aux 0 context t
-
-let get_conclusion_dependences context t =
- let p, context, conclusion = get_conclusion context t in
- let rec aux l q =
- if q <= 0 then l else
- let b = TC.does_not_occur context (pred q) q conclusion in
- aux (b :: l) (pred q)
+ 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
- aux [] p
+ PET.mk_tactic clearbody
+
+(* lapply *******************************************************************)
-let solve_independents ?with_what deps =
- let rec aux p conts = function
- | [] -> p, conts
- | true :: tl ->
- let cont = PT.apply_tac ~term:(Cic.Rel (succ p)) in
- aux (succ p) (cont :: conts) tl
- | false :: tl -> aux (succ p) conts tl
+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 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 p, conts = aux 0 [] deps in
- match with_what with
- | None -> conts
- | Some t -> PT.apply_tac ~term:(S.lift p t) :: conts
-
-let lapply_tac ?(mk_fresh_name_callback = FreshNamesGenerator.mk_fresh_name ~subst:[])
- (* ?(substs = []) *) ?to_what what =
- let cut_tac term = PT.cut_tac ~mk_fresh_name_callback term in
- let intros_tac () = PT.intros_tac ~mk_fresh_name_callback () in
- let solve_conclusion_tac ?with_what p deps =
- T.then_ ~start:(intros_tac ())
- ~continuation:(
- T.thens ~start:(PT.apply_tac what)
- ~continuations:(
- skip_metas p @ solve_independents ?with_what deps
- )
- )
+ 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
let _, context, _ = CicUtil.lookup_meta goal metasenv in
let lemma, _ = TC.type_of_aux' metasenv context what U.empty_ugraph in
- match strip_dependent_prods metasenv context lemma with
- | metasenv, p, Some premise, conclusion ->
- let deps = get_conclusion_dependences context conclusion in
- let inner_tac = match to_what with
- | None ->
- T.thens ~start:(cut_tac premise)
- ~continuations:[
- solve_conclusion_tac ~with_what:(Cic.Rel 1) p deps;
- T.id_tac
- ]
- | Some with_what ->
- solve_conclusion_tac ~with_what p deps
- in
- let outer_tac =
- T.thens ~start:(cut_tac conclusion)
- ~continuations:[T.id_tac; inner_tac]
- in
- let status = (xuri, metasenv, u, t), goal in
- PET.apply_tactic outer_tac status
- | metasenv, p, None, conclusion ->
- failwith "lapply_tac: not implemented"
+ 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
+ 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