*)
(* $Id$ *)
-
+
+module C = Cic
+module U = UriManager
+module PET = ProofEngineTypes
+module PER = ProofEngineReduction
+module PEH = ProofEngineHelpers
+module PESR = ProofEngineStructuralRules
+module P = PrimitiveTactics
+module T = Tacticals
+module R = CicReduction
+module S = CicSubstitution
+module TC = CicTypeChecker
+module LO = LibraryObjects
+module DTI = DoubleTypeInference
+module HEL = HExtlib
+
let rec rewrite_tac ~direction ~(pattern: ProofEngineTypes.lazy_pattern) equality =
let _rewrite_tac ~direction ~pattern:(wanted,hyps_pat,concl_pat) equality status
=
- let module C = Cic in
- let module U = UriManager in
- let module PET = ProofEngineTypes in
- let module PER = ProofEngineReduction in
- let module PEH = ProofEngineHelpers in
- let module PT = PrimitiveTactics in
assert (wanted = None); (* this should be checked syntactically *)
let proof,goal = status in
let curi, metasenv, pbo, pty = proof in
(rewrite_tac ~direction
~pattern:(None,[he],None) equality)
(rewrite_tac ~direction ~pattern:(None,tl,concl_pat)
- (CicSubstitution.lift 1 equality))
+ (S.lift 1 equality))
) status
| [_] as hyps_pat when concl_pat <> None ->
PET.apply_tactic
(rewrite_tac ~direction
~pattern:(None,hyps_pat,None) equality)
(rewrite_tac ~direction ~pattern:(None,[],concl_pat)
- (CicSubstitution.lift 1 equality))
+ (S.lift 1 equality))
) status
| _ ->
let arg,dir2,tac,concl_pat,gty =
match hyps_pat with
- [] -> None,true,(fun ~term _ -> PT.exact_tac term),concl_pat,gty
+ [] -> None,true,(fun ~term _ -> P.exact_tac term),concl_pat,gty
| [name,pat] ->
let rec find_hyp n =
function
[] -> assert false
| Some (Cic.Name s,Cic.Decl ty)::_ when name = s ->
- Cic.Rel n, CicSubstitution.lift n ty
+ Cic.Rel n, S.lift n ty
| Some (Cic.Name s,Cic.Def _)::_ -> assert false (*CSC: not implemented yet! But does this make any sense?*)
| _::tl -> find_hyp (n+1) tl
in
Tacticals.seq
~tactics:
[ProofEngineStructuralRules.rename name dummy;
- PT.letin_tac
+ P.letin_tac
~mk_fresh_name_callback:(fun _ _ _ ~typ -> Cic.Name name) term;
ProofEngineStructuralRules.clearbody name;
- ReductionTactics.change_tac
+ ReductionTactics.change_tac
~pattern:
(None,[name,Cic.Implicit (Some `Hole)], None)
(ProofEngineTypes.const_lazy_term typ);
CicUniv.empty_ugraph in
let (ty_eq,metasenv',arguments,fresh_meta) =
ProofEngineHelpers.saturate_term
- (ProofEngineHelpers.new_meta_of_proof proof) metasenv context ty_eq 0 in
+ (ProofEngineHelpers.new_meta_of_proof proof) metasenv context ty_eq 0 in
let equality =
if List.length arguments = 0 then
equality
let fresh_name =
FreshNamesGenerator.mk_fresh_name
~subst:[] metasenv' context C.Anonymous ~typ:ty in
- let lifted_t1 = CicSubstitution.lift 1 t1x in
- let lifted_gty = CicSubstitution.lift 1 gty in
+ let lifted_t1 = S.lift 1 t1x in
+ let lifted_gty = S.lift 1 gty in
let lifted_conjecture =
metano,(Some (fresh_name,Cic.Decl ty))::context,lifted_gty in
let lifted_pattern =
let lifted_concl_pat =
match concl_pat with
| None -> None
- | Some term -> Some (CicSubstitution.lift 1 term) in
+ | Some term -> Some (S.lift 1 term) in
Some (fun _ m u -> lifted_t1, m, u),[],lifted_concl_pat
in
let subst,metasenv',ugraph,_,selected_terms_with_context =
ProofEngineHelpers.select
~metasenv:metasenv' ~ugraph ~conjecture:lifted_conjecture
~pattern:lifted_pattern in
- let metasenv' = CicMetaSubst.apply_subst_metasenv subst metasenv' in
+ let metasenv' = CicMetaSubst.apply_subst_metasenv subst metasenv' in
let what,with_what =
(* Note: Rel 1 does not live in the context context_of_t *)
(* The replace_lifting_csc 0 function will take care of lifting it *)
let metasenv',arg,newtyp =
match arg with
None ->
- let gty' = CicSubstitution.subst t2 abstr_gty in
+ let gty' = S.subst t2 abstr_gty in
let irl =
CicMkImplicit.identity_relocation_list_for_metavariable context in
let metasenv' = (fresh_meta,context,gty')::metasenv' in
metasenv', C.Meta (fresh_meta,irl), Cic.Rel (-1) (* dummy term, never used *)
| Some arg ->
- let gty' = CicSubstitution.subst t1 abstr_gty in
+ let gty' = S.subst t1 abstr_gty in
metasenv',arg,gty'
in
let exact_proof =
C.Appl [eq_ind ; ty ; t2 ; pred ; arg ; t1 ;equality]
in
- let (proof',goals) =
- PET.apply_tactic
- (tac ~term:exact_proof newtyp) ((curi,metasenv',pbo,pty),goal)
- in
- let goals =
- goals@(ProofEngineHelpers.compare_metasenvs ~oldmetasenv:metasenv
- ~newmetasenv:metasenv')
- in
- (proof',goals)
+ try
+ let (proof',goals) =
+ PET.apply_tactic
+ (tac ~term:exact_proof newtyp) ((curi,metasenv',pbo,pty),goal)
+ in
+ let goals =
+ goals@(ProofEngineHelpers.compare_metasenvs ~oldmetasenv:metasenv
+ ~newmetasenv:metasenv')
+ in
+ (proof',goals)
+ with (* FG: this should be PET.Fail _ *)
+ TC.TypeCheckerFailure _ ->
+ let msg = lazy "rewrite: nothing to rewrite" in
+ raise (PET.Fail msg)
in
ProofEngineTypes.mk_tactic (_rewrite_tac ~direction ~pattern equality)
let replace_tac ~(pattern: ProofEngineTypes.lazy_pattern) ~with_what status =
let _wanted, hyps_pat, concl_pat = pattern in
let (proof, goal) = status in
- let module C = Cic in
- let module U = UriManager in
- let module P = PrimitiveTactics in
- let module T = Tacticals in
let uri,metasenv,pbo,pty = proof in
let (_,context,ty) as conjecture = CicUtil.lookup_meta goal metasenv in
assert (hyps_pat = []); (*CSC: not implemented yet *)
match whats with
[] -> ProofEngineTypes.apply_tactic T.id_tac status
| (what,lazy_pattern)::tl ->
- let what = CicSubstitution.lift n what in
- let with_what = CicSubstitution.lift n with_what in
- let ty_of_with_what = CicSubstitution.lift n ty_of_with_what in
+ let what = S.lift n what in
+ let with_what = S.lift n with_what in
+ let ty_of_with_what = S.lift n ty_of_with_what in
ProofEngineTypes.apply_tactic
(T.thens
~start:(
let symmetry_tac =
let symmetry_tac (proof, goal) =
- let module C = Cic in
- let module R = CicReduction in
- let module U = UriManager in
let (_,metasenv,_,_) = proof in
let metano,context,ty = CicUtil.lookup_meta goal metasenv in
match (R.whd context ty) with
let transitivity_tac ~term =
let transitivity_tac ~term status =
let (proof, goal) = status in
- let module C = Cic in
- let module R = CicReduction in
- let module U = UriManager in
- let module T = Tacticals in
let (_,metasenv,_,_) = proof in
let metano,context,ty = CicUtil.lookup_meta goal metasenv in
match (R.whd context ty) with
ProofEngineTypes.mk_tactic (transitivity_tac ~term)
;;
+(* FG: subst tactic *********************************************************)
+
+(* FG: This should be replaced by T.try_tactic *)
+let try_tactic ~tactic =
+ let try_tactic status =
+ try PET.apply_tactic tactic status with
+ | PET.Fail _ -> PET.apply_tactic T.id_tac status
+ in
+ PET.mk_tactic try_tactic
+
+let rec lift_rewrite_tac ~context ~direction ~pattern equality =
+ let lift_rewrite_tac status =
+ let (proof, goal) = status in
+ let (_, metasenv, _, _) = proof in
+ let _, new_context, _ = CicUtil.lookup_meta goal metasenv in
+ let n = List.length new_context - List.length context in
+ let equality = if n > 0 then S.lift n equality else equality in
+ PET.apply_tactic (rewrite_tac ~direction ~pattern equality) status
+ in
+ PET.mk_tactic lift_rewrite_tac
+
+
+let msg0 = lazy "Subst: not found in context"
+let msg1 = lazy "Subst: not a simple equality"
+let msg2 = lazy "Subst: recursive equation"
+
+let subst_tac ~hyp =
+ let hole = C.Implicit (Some `Hole) in
+ let subst_tac status =
+ let (proof, goal) = status in
+ let (_, metasenv, _, _) = proof in
+ let _, context, _ = CicUtil.lookup_meta goal metasenv in
+ let what = match PEH.get_rel context hyp with
+ | Some t -> t
+ | None -> raise (PET.Fail msg0)
+ in
+ let ty, _ = TC.type_of_aux' metasenv context what CicUniv.empty_ugraph in
+ let direction, i, t = match ty with
+ | (C.Appl [(C.MutInd (uri, 0, [])); _; C.Rel i; t])
+ when LO.is_eq_URI uri -> `LeftToRight, i, t
+ | (C.Appl [(C.MutInd (uri, 0, [])); _; t; C.Rel i])
+ when LO.is_eq_URI uri -> `RightToLeft, i, t
+ | _ -> raise (PET.Fail msg1)
+ in
+ let rewrite pattern =
+ let tactic = lift_rewrite_tac ~context ~direction ~pattern what in
+ try_tactic ~tactic
+ in
+ let var = match PEH.get_name context i with
+ | Some name -> name
+ | None -> raise (PET.Fail msg0)
+ in
+ if DTI.does_not_occur i t then () else raise (PET.Fail msg2);
+ let map self = function
+ | Some (C.Name s, _) when s <> self ->
+ Some (rewrite (None, [(s, hole)], None))
+ | _ -> None
+ in
+ let rew_hips = HEL.list_rev_map_filter (map hyp) context in
+ let rew_concl = rewrite (None, [], Some hole) in
+ let clear = PESR.clear ~hyps:[hyp; var] in
+ let tactics = List.rev_append (rew_concl :: rew_hips) [clear] in
+ PET.apply_tactic (T.seq ~tactics) status
+ in
+ PET.mk_tactic subst_tac
+let subst_tac =
+ let subst hyp = try_tactic ~tactic:(subst_tac hyp) in
+ let map = function
+ | Some (C.Name s, _) -> Some (subst s)
+ | _ -> None
+ in
+ let subst_tac status =
+ let (proof, goal) = status in
+ let (_, metasenv, _, _) = proof in
+ let _, context, _ = CicUtil.lookup_meta goal metasenv in
+ let tactics = HEL.list_rev_map_filter map context in
+ PET.apply_tactic (T.seq ~tactics) status
+ in
+ PET.mk_tactic subst_tac
projects / helm.git / blobdiff