*)
module C = Cic
+module DT = DiscriminationTactics
module DTI = DoubleTypeInference
module ET = EqualityTactics
module HEL = HExtlib
module PEH = ProofEngineHelpers
module PESR = ProofEngineStructuralRules
module PET = ProofEngineTypes
+module RT = ReductionTactics
module S = CicSubstitution
module T = Tacticals
module TC = CicTypeChecker
-(* 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 ~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
+ let equality = S.lift n equality in
PET.apply_tactic (ET.rewrite_tac ~direction ~pattern equality []) status
in
PET.mk_tactic lift_rewrite_tac
-
+let lift_destruct_tac ~context ~what =
+ let lift_destruct_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 what = S.lift n what in
+ PET.apply_tactic (DT.destruct_tac ~term:what) status
+ in
+ PET.mk_tactic lift_destruct_tac
+
let msg0 = lazy "Subst: not found in context"
-let msg1 = lazy "Subst: not a simple equality"
+let msg1 = lazy "Subst: not an erasable equation"
let msg2 = lazy "Subst: recursive equation"
+let msg3 = lazy "Subst: no progress"
-let subst_tac ~hyp =
+let rec subst_tac ~try_tactic ~hyp =
let hole = C.Implicit (Some `Hole) in
+ let meta = C.Implicit None in
+ let rec constr = function
+ | C.MutConstruct _ -> true
+ | C.Appl (t :: tl) -> constr t
+ | _ -> false
+ in
let subst_tac status =
let (proof, goal) = status in
let (_, metasenv, _, _, _) = proof in
| 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
+ let subst_g direction i t =
+ 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
+ List.rev_append (rew_concl :: rew_hips) [clear]
+ in
+ let destruct_g () =
+ [lift_destruct_tac ~context ~what; PESR.clear ~hyps:[hyp]]
+ in
+ let whd_g () =
+ let whd_pattern = C.Appl [meta; meta; hole; hole] in
+ let pattern = None, [hyp, whd_pattern], None in
+ [RT.whd_tac ~pattern; subst_tac ~try_tactic ~hyp]
+ in
+ let tactics = match ty with
| (C.Appl [(C.MutInd (uri, 0, [])); _; C.Rel i; t])
- when LO.is_eq_URI uri -> `LeftToRight, i, t
+ when LO.is_eq_URI uri -> subst_g `LeftToRight i t
| (C.Appl [(C.MutInd (uri, 0, [])); _; t; C.Rel i])
- when LO.is_eq_URI uri -> `RightToLeft, i, t
+ when LO.is_eq_URI uri -> subst_g `RightToLeft i t
+ | (C.Appl [(C.MutInd (uri, 0, [])); _; t1; t2])
+ when LO.is_eq_URI uri && constr t1 && constr t2 -> destruct_g ()
+ | (C.Appl [(C.MutInd (uri, 0, [])); _; t1; t2])
+ when LO.is_eq_URI uri -> whd_g ()
| _ -> 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 progress = ref false in
+ let try_tactic ~tactic =
+ let try_tactic status =
+ try
+ let result = PET.apply_tactic tactic status in
+ progress := true; result
+ with
+ | PET.Fail _ -> PET.apply_tactic T.id_tac status
+ in
+ PET.mk_tactic try_tactic
+ in
+ let subst hyp = try_tactic ~tactic:(subst_tac ~try_tactic ~hyp) in
+ let map = function
+ | Some (C.Name s, _) -> Some (subst s)
+ | _ -> None
+ in
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
+ let result = PET.apply_tactic (T.seq ~tactics) status in
+ if !progress then result else raise (PET.Fail msg3)
in
PET.mk_tactic subst_tac
+
+ let try_tac tactic = T.try_tactic ~tactic
+ let then_tac start continuation = T.then_ ~start ~continuation
+
+let rec repeat_tactic ~tactic =
+ try_tac (then_tac tactic (repeat_tactic ~tactic))
+
+let subst_tac =
+ let subst_tac status =
+ PET.apply_tactic (repeat_tactic ~tactic:subst_tac) status
+ in
+ PET.mk_tactic subst_tac
projects / helm.git / blobdiff