let debug = true
let debug_print s = if debug then prerr_endline (Lazy.force s) else ()
-exception Error of string lazy_t
-let fail msg = raise (Error msg)
-
-type lowtac_status = {
- pstatus : NCic.obj;
- lstatus : LexiconEngine.status
-}
-
-type lowtactic = lowtac_status -> int -> lowtac_status
-
-type tac_status = {
- gstatus : Continuationals.Stack.t;
- istatus : lowtac_status;
-}
-
-type tactic = tac_status -> tac_status
-
-type tactic_term = CicNotationPt.term Disambiguate.disambiguator_input
-type tactic_pattern = GrafiteAst.npattern Disambiguate.disambiguator_input
-
-let pp_tac_status status =
- prerr_endline (NCicPp.ppobj status.istatus.pstatus)
-;;
-
-let pp_lowtac_status status =
- prerr_endline "--------------------------------------------";
- prerr_endline (NCicPp.ppobj status.pstatus)
-;;
-
open Continuationals.Stack
+open NTacStatus
let dot_tac status =
let new_gstatus =
(e.g. the tactic could perform a global analysis of the set of goals)
*)
-let exec tac (low_status,g) =
+let exec tac low_status g =
let stack = [ [0,Open g], [], [], `NoTag ] in
let status = tac { gstatus = stack ; istatus = low_status } in
status.istatus
{ gstatus = stack; istatus = sn }
;;
-type cic_term = NCic.conjecture
-type ast_term = string * int * CicNotationPt.term
-type position = [ `Ctx of NCic.context | `Term of cic_term ]
-
-
-let relocate context (name,ctx,t as term) =
- let is_prefix l1 l2 =
- let rec aux = function
- | [],[] -> true
- | x::xs, y::ys -> x=y && aux (xs,ys)
- | _ -> false
- in
- aux (List.rev l1, List.rev l2)
- in
- if ctx = context then term else
- if is_prefix ctx context then
- (name, context,
- NCicSubstitution.lift (List.length context - List.length ctx) t)
- else
- assert false
-;;
-let disambiguate (status : lowtac_status) (t : ast_term)
- (ty : cic_term option) (where : position) =
- let uri,height,metasenv,subst,obj = status.pstatus in
- let context = match where with `Ctx c -> c | `Term (_,c,_) -> c in
- let expty =
- match ty with
- | None -> None | Some ty -> let _,_,x = relocate context ty in Some x
+let select ~where status goal =
+ let goalty = get_goalty status goal in
+ let (wanted,_,where) = GrafiteDisambiguate.disambiguate_npattern where in
+ let path =
+ match where with None -> NCic.Implicit `Term | Some where -> where
in
- let metasenv, subst, lexicon_status, t =
- GrafiteDisambiguate.disambiguate_nterm expty
- status.lstatus context metasenv subst t
+ let status, newgoalty = select_term status goalty (wanted,path) in
+ let status, instance =
+ mk_meta status (ctx_of newgoalty) (`Decl newgoalty)
in
- let new_pstatus = uri,height,metasenv,subst,obj in
- { lstatus = lexicon_status; pstatus = new_pstatus }, (None, context, t)
-;;
-
-let in_scope_tag = "tag:in_scope" ;;
-let out_scope_tag = "tag:out_scope" ;;
-
-let typeof status where t =
- let _,_,metasenv,subst,_ = status.pstatus in
- let ctx = match where with `Ctx c -> c | `Term (_,c,_) -> c in
- let _,_,t = relocate ctx t in
- let ty = NCicTypeChecker.typeof ~subst ~metasenv ctx t in
- None, ctx, ty
-;;
-
-let unify status where a b =
- let n,h,metasenv,subst,o = status.pstatus in
- let ctx = match where with `Ctx c -> c | `Term (_,c,_) -> c in
- let _,_,a = relocate ctx a in
- let _,_,b = relocate ctx b in
- let metasenv, subst =
- NCicUnification.unify (NCicUnifHint.db ()) metasenv subst ctx a b
- in
- { status with pstatus = n,h,metasenv,subst,o }
-;;
-
-let refine status where term expty =
- let ctx = match where with `Ctx c -> c | `Term (_,c,_) -> c in
- let nt,_,term = relocate ctx term in
- let ne, ty =
- match expty with None -> None, None
- | Some e -> let n,_, e = relocate ctx e in Some n, Some e
- in
- let name,height,metasenv,subst,obj = status.pstatus in
- let db = NCicUnifHint.db () in (* XXX fixme *)
- let coercion_db = NCicCoercion.db () in
- let look_for_coercion = NCicCoercion.look_for_coercion coercion_db in
- let metasenv, subst, t, ty =
- NCicRefiner.typeof db ~look_for_coercion metasenv subst ctx term ty
- in
- { status with pstatus = (name,height,metasenv,subst,obj) },
- (nt,ctx,t), (ne,ctx,ty)
-;;
-
-let get_goal (status : lowtac_status) (g : int) =
- let _,_,metasenv,_,_ = status.pstatus in
- List.assoc g metasenv
-;;
-
-let instantiate status i t =
- let (goalname, context, _ as ety) = get_goal status i in
- let status, (_,_,t), (_,_,ty) = refine status (`Term ety) t (Some ety) in
-
- let name,height,metasenv,subst,obj = status.pstatus in
- let metasenv = List.filter (fun j,_ -> j <> i) metasenv in
- let subst = (i, (goalname, context, t, ty)) :: subst in
- { status with pstatus = (name,height,metasenv,subst,obj) }
-;;
-
-let mk_meta status ?name where bo_or_ty =
- let n,h,metasenv,subst,o = status.pstatus in
- let ctx = match where with `Ctx c -> c | `Term (_,c,_) -> c in
- match bo_or_ty with
- | `Decl ty ->
- let _,_,ty = relocate ctx ty in
- let metasenv, _, instance, _ =
- NCicMetaSubst.mk_meta ?name metasenv ctx (`WithType ty)
- in
- let status = { status with pstatus = n,h,metasenv,subst,o } in
- status, (None,ctx,instance)
- | `Def bo ->
- let _,_,ty = typeof status (`Ctx ctx) bo in
- let metasenv, metano, instance, _ =
- NCicMetaSubst.mk_meta ?name metasenv ctx (`WithType ty)
- in
- let status = { status with pstatus = n,h,metasenv,subst,o } in
- let status = instantiate status metano bo in
- status, (None,ctx,instance)
-;;
-
-let select_term low_status (name,context,term) (wanted,path) =
- let found status ctx t wanted =
- (* we could lift wanted step-by-step *)
- try true, unify status (`Ctx ctx) (None,ctx,t) wanted
- with
- | NCicUnification.UnificationFailure _
- | NCicUnification.Uncertain _ -> false, status
- in
- let match_term status ctx (wanted : cic_term) t =
- let rec aux ctx status t =
- let b, status = found status ctx t wanted in
- if b then
- let status, (_,_,t) =
- mk_meta status ~name:in_scope_tag (`Ctx ctx) (`Def (None,ctx,t))
- in
- status, t
- else NCicUntrusted.map_term_fold_a (fun e c -> e::c) ctx aux status t
- in
- aux ctx status t
- in
- let rec select status ctx pat cic =
- match pat, cic with
- | NCic.LetIn (_,t1,s1,b1), NCic.LetIn (n,t2,s2,b2) ->
- let status, t = select status ctx t1 t2 in
- let status, s = select status ctx s1 s2 in
- let ctx = (n, NCic.Def (s2,t2)) :: ctx in
- let status, b = select status ctx b1 b2 in
- status, NCic.LetIn (n,t,s,b)
- | NCic.Lambda (_,s1,t1), NCic.Lambda (n,s2,t2) ->
- let status, s = select status ctx s1 s2 in
- let ctx = (n, NCic.Decl s2) :: ctx in
- let status, t = select status ctx t1 t2 in
- status, NCic.Lambda (n,s,t)
- | NCic.Prod (_,s1,t1), NCic.Prod (n,s2,t2) ->
- let status, s = select status ctx s1 s2 in
- let ctx = (n, NCic.Decl s2) :: ctx in
- let status, t = select status ctx t1 t2 in
- status, NCic.Prod (n,s,t)
- | NCic.Appl l1, NCic.Appl l2 ->
- let status, l =
- List.fold_left2
- (fun (status,l) x y ->
- let status, x = select status ctx x y in
- status, x::l)
- (status,[]) l1 l2
- in
- status, NCic.Appl (List.rev l)
- | NCic.Match (_,ot1,t1,pl1), NCic.Match (u,ot2,t2,pl2) ->
- let status, t = select status ctx t1 t2 in
- let status, ot = select status ctx ot1 ot2 in
- let status, pl =
- List.fold_left2
- (fun (status,l) x y ->
- let status, x = select status ctx x y in
- status, x::l)
- (status,[]) pl1 pl2
- in
- status, NCic.Match (u,ot,t,List.rev pl)
- | NCic.Implicit `Hole, t ->
- (match wanted with
- | Some wanted ->
- let status, wanted = disambiguate status wanted None (`Ctx ctx) in
- match_term status ctx wanted t
- | None -> match_term status ctx (None,ctx,t) t)
- | NCic.Implicit _, t -> status, t
- | _,t ->
- fail (lazy ("malformed pattern: " ^ NCicPp.ppterm ~metasenv:[]
- ~context:[] ~subst:[] pat))
- in
- let status, term = select low_status context path term in
- let term = (name, context, term) in
- mk_meta status ~name:out_scope_tag (`Ctx context) (`Def term)
+ instantiate status goal instance
;;
+let select_tac ~where = distribute_tac (select ~where) ;;
let exact t status goal =
- let goalty = get_goal status goal in
- let status, t = disambiguate status t (Some goalty) (`Term goalty) in
+ let goalty = get_goalty status goal in
+ let status, t = disambiguate status t (Some goalty) (ctx_of goalty) in
instantiate status goal t
;;
+let exact_tac t = distribute_tac (exact t) ;;
let reopen status =
let n,h,metasenv,subst,o = status.pstatus in
let subst, newm =
List.partition
- (function (_,(Some tag,_,_,_)) -> tag <> in_scope_tag && tag <> out_scope_tag
+ (function (_,(Some tag,_,_,_)) ->
+ tag <> in_scope_tag && tag <> out_scope_tag
| _ -> true)
subst
in
;;
let change ~where ~with_what status goal =
- let (name,_,_ as goalty) = get_goal status goal in
+ let goalty = get_goalty status goal in
let (wanted,_,where) = GrafiteDisambiguate.disambiguate_npattern where in
let path =
match where with None -> NCic.Implicit `Term | Some where -> where
let status = List.fold_left (exact with_what) status in_scope in
let j,(n,cctx,bo,_) = out_scope in
- let _ = typeof status (`Term goalty) (n,cctx,bo) in
+ let _ = typeof status (ctx_of goalty) (Obj.magic (n,cctx,bo)) in
let n,h,metasenv,subst,o = status.pstatus in
let subst = out_scope :: subst in
let status = { status with pstatus = n,h,metasenv,subst,o } in
let status, instance =
- mk_meta status ?name (`Term newgoalty) (`Decl newgoalty)
+ mk_meta status (ctx_of newgoalty) (`Decl newgoalty)
in
instantiate status goal instance
;;
-let apply t status goal =
- let uri,height,metasenv, subst,obj = status.pstatus in
- let name,context,gty = List.assoc goal metasenv in
- let metasenv, subst, lexicon_status, t =
- GrafiteDisambiguate.disambiguate_nterm (Some gty)
- status.lstatus context metasenv subst t
- in
- let subst, metasenv =
- (goal, (name, context, t, gty)):: subst,
- List.filter(fun (x,_) -> x <> goal) metasenv
- in
- let new_pstatus = uri,height,metasenv,subst,obj in
- { lstatus = lexicon_status; pstatus = new_pstatus }
-;;
+let apply t status goal = exact t status goal;;
let apply_tac t = distribute_tac (apply t) ;;
let change_tac ~where ~with_what = distribute_tac (change ~where ~with_what) ;;
+let elim_tac ~what ~where status =
+ block_tac
+ [ select_tac ~where;
+ distribute_tac (fun status goal ->
+ let goalty = get_goalty status goal in
+ let status, what =
+ disambiguate status what None (ctx_of goalty) in
+ let _ty_what = typeof status (ctx_of what) what in
+ (* check inductive... find eliminator *)
+ let w = (*astify what *) CicNotationPt.Ident ("m",None) in
+ let holes = [
+ CicNotationPt.Implicit;CicNotationPt.Implicit;CicNotationPt.Implicit]
+ in
+ let eliminator =
+ CicNotationPt.Appl(CicNotationPt.Ident("nat_ind",None)::holes @ [ w ])
+ in
+ exec (apply_tac ("",0,eliminator)) status goal) ]
+ status
+;;
+
+let intro_tac name =
+ exact_tac
+ ("",0,(CicNotationPt.Binder (`Lambda,
+ (CicNotationPt.Ident (name,None),None),CicNotationPt.Implicit)))
+;;
+
+let case ~what status goal =
+ let gty = get_goalty status goal in
+ let status, what = disambiguate status what None (ctx_of gty) in
+ let ty = typeof status (ctx_of what) what in
+ let ref, consno, left, right = analyse_indty status ty in
+ let t =
+ NCic.Match (ref,NCic.Implicit `Term,NCic.Rel 1,
+ HExtlib.mk_list (NCic.Implicit `Term) consno)
+ in
+ let ctx = ctx_of gty in
+ let status,t,ty = refine status ctx (mk_cic_term ctx t) None in
+ instantiate status goal t
+;;
+
+let case_tac ~what = distribute_tac (case ~what);;
+
+let case1_tac name =
+ block_tac [ intro_tac name;
+ case_tac ~what:("",0,CicNotationPt.Ident (name,None)) ]
+;;
projects / helm.git / blobdiff