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
+module Ast = CicNotationPt
+
+let id_tac status = status ;;
+let print_tac message status = prerr_endline message; status ;;
let dot_tac status =
let new_gstatus =
let compare_statuses ~past ~present =
let _,_,past,_,_ = past.pstatus in
let _,_,present,_,_ = present.pstatus in
- List.map fst (List.filter (fun (i,_) -> not (List.mem_assoc i past)) present),
+ List.map fst (List.filter (fun (i,_) -> not(List.mem_assoc i past)) present),
List.map fst (List.filter (fun (i,_) -> not (List.mem_assoc i present)) past)
;;
distribute_tac (exec tac) [s]::G = (G1@...Gn)::G'
3) tac G = distribute_tac (exec tac) G if
tac = distribute_tac lowtac
+ 4) atomic_tac t === distribute_tac (exec t)
Note that executing an high tactic on a set of goals may be stronger
than executing the same tactic on those goals, but once at a time
debug_print (lazy ("context length " ^string_of_int (List.length g)));
let rec aux s go gc =
function
- | [] -> s, go, gc
+ | [] ->
+ debug_print (lazy "no selected goals");
+ s, go, gc
| loc :: loc_tl ->
debug_print (lazy "inner eval tactical");
let s, go, gc =
| Open n ->
let sn = tac s n in
let go', gc' = compare_statuses ~past:s ~present:sn in
- sn, (go @- gc') @+ go', gc @+ gc'
+ sn, ((go @+ [n]) @- gc') @+ go', gc @+ gc'
in
aux s go gc loc_tl
in
{ 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
- in
- let metasenv, subst, lexicon_status, t =
- GrafiteDisambiguate.disambiguate_nterm expty
- status.lstatus context metasenv subst t
- 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 atomic_tac htac = distribute_tac (exec htac) ;;
-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 whd status ?delta 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 t = NCicReduction.whd ~subst ?delta ctx t in
- None, ctx, t
-;;
-
-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 exact_tac t = distribute_tac (fun status goal ->
+ let goalty = get_goalty status goal in
+ let status, t = disambiguate status t (Some goalty) (ctx_of goalty) in
+ instantiate status goal t)
;;
-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
+let find_in_context name context =
+ let rec aux acc = function
+ | [] -> raise Not_found
+ | (hd,_) :: tl when hd = name -> acc
+ | _ :: tl -> aux (acc + 1) tl
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)
-;;
-
-let select ~where status goal =
- let name, _, _ as goalty = get_goal status goal in
- let (wanted,_,where) = GrafiteDisambiguate.disambiguate_npattern where in
- let path =
- match where with None -> NCic.Implicit `Term | Some where -> where
+ aux 1 context
+;;
+
+let clear_tac names =
+ if names = [] then id_tac
+ else
+ distribute_tac (fun status goal ->
+ let goalty = get_goalty status goal in
+ let js =
+ List.map
+ (fun name ->
+ try find_in_context name (ctx_of goalty)
+ with Not_found ->
+ fail (lazy ("hypothesis '" ^ name ^ "' not found")))
+ names
+ in
+ let n,h,metasenv,subst,o = status.pstatus in
+ let metasenv,subst,_ = NCicMetaSubst.restrict metasenv subst goal js in
+ { status with pstatus = n,h,metasenv,subst,o })
+;;
+
+let force f s = Lazy.force f s;;
+
+let generalize0_tac args =
+ if args = [] then id_tac
+ else exact_tac ("",0,Ast.Appl (Ast.Implicit :: args))
+;;
+
+let select0_tac ~where:(wanted,_,where) ~job =
+ let found, postprocess =
+ match job with
+ | `Substexpand argsno -> mk_in_scope, mk_out_scope argsno
+ | `Collect l -> (fun s t -> l := t::!l; mk_in_scope s t), mk_out_scope 1
in
- let status, newgoalty = select_term status goalty (wanted,path) in
- let status, instance =
- mk_meta status ?name (`Term newgoalty) (`Decl newgoalty)
- in
- 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
- instantiate status goal t
+ distribute_tac (fun status goal ->
+ let goalty = get_goalty status goal in
+ let path =
+ match where with None -> NCic.Implicit `Term | Some where -> where
+ in
+ let status, newgoalty =
+ select_term status ~found ~postprocess goalty (wanted,path)
+ in
+ let status, instance =
+ mk_meta status (ctx_of newgoalty) (`Decl newgoalty)
+ in
+ instantiate status goal instance)
+;;
+
+let select_tac ~where ~job move_down_hyps =
+ let (wanted,hyps,where) = GrafiteDisambiguate.disambiguate_npattern where in
+ let path =
+ match where with None -> NCic.Implicit `Term | Some where -> where in
+ if not move_down_hyps then
+ select0_tac ~where:(wanted,hyps,Some path) ~job
+ else
+ let path =
+ List.fold_left
+ (fun path (name,path_name) -> NCic.Prod ("_",path_name,path))
+ path (List.rev hyps)
+ in
+ block_tac [
+ generalize0_tac (List.map (fun (name,_) -> Ast.Ident (name,None)) hyps);
+ select0_tac ~where:(wanted,[],Some path) ~job;
+ clear_tac (List.map fst hyps) ]
+;;
+
+let generalize_tac ~where =
+ let l = ref [] in
+ block_tac [
+ select_tac ~where ~job:(`Collect l) true;
+ force (lazy (distribute_tac (fun status goal ->
+ if !l = [] then fail (lazy "No term to generalize");
+ let goalty = get_goalty status goal in
+ let canon = List.hd !l in
+ let status =
+ List.fold_left
+ (fun s t -> unify s (ctx_of goalty) canon t) status (List.tl !l)
+ in
+ instantiate status goal
+ (mk_cic_term (ctx_of goalty) (NCic.Appl [NCic.Implicit `Term ;
+ term_of_cic_term canon (ctx_of goalty) ]))
+ ))) ]
;;
-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 <> NCicMetaSubst.in_scope_tag &&
+ not (NCicMetaSubst.is_out_scope_tag tag)
| _ -> true)
subst
in
let in_m, out_m =
List.partition
- (function (_,(Some tag,_,_,_)) -> tag = in_scope_tag | _ -> assert false)
+ (function (_,(Some tag,_,_,_)) ->
+ tag = NCicMetaSubst.in_scope_tag | _ -> assert false)
newm
in
let metasenv = List.map (fun (i,(_,c,_,t)) -> i,(None,c,t)) in_m @ metasenv in
;;
let change ~where ~with_what status goal =
- let (name,_,_ as goalty) = get_goal status goal in
+assert false; (*
+ 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 status, newgoalty = select_term status goalty (wanted,path) in
+ let status, newgoalty = assert false (*
+ select_term status 1 goalty (wanted,path)*) in
let status, in_scope, out_scope = reopen status in
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 = 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_goal status goal in
- let status, (_,_,w as what) =
- disambiguate status what None (`Term goalty) in
- let _ty_what = typeof status (`Term 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 apply_tac = exact_tac;;
+
+type indtyinfo = {
+ rightno: int;
+ leftno: int;
+ consno: int;
+ lefts: NCic.term list;
+ rights: NCic.term list;
+ reference: NReference.reference;
+ }
+;;
+
+let analyze_indty_tac ~what indtyref = 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
+ let r,consno,lefts,rights = analyse_indty status ty_what in
+ let leftno = List.length rights in
+ let rightno = List.length rights in
+ indtyref := Some {
+ rightno = rightno; leftno = leftno; consno = consno;
+ lefts = lefts; rights = rights; reference = r;
+ };
+ exec id_tac status goal)
+;;
+
+let elim_tac ~what ~where =
+ let indtyinfo = ref None in
+ let sort = ref None in
+ let compute_goal_sort_tac = distribute_tac (fun status goal ->
+ let goalty = get_goalty status goal in
+ let goalsort = typeof status (ctx_of goalty) goalty in
+ sort := Some goalsort;
+ exec id_tac status goal)
+ in
+ atomic_tac (block_tac [
+ analyze_indty_tac ~what indtyinfo;
+ force (lazy (select_tac
+ ~where ~job:(`Substexpand ((HExtlib.unopt !indtyinfo).rightno+1)) true));
+ compute_goal_sort_tac;
+ force (lazy (
+ let sort = HExtlib.unopt !sort in
+ let ity = HExtlib.unopt !indtyinfo in
+ let NReference.Ref (uri, _) = ity.reference in
+ let name = NUri.name_of_uri uri ^
+ match term_of_cic_term sort (ctx_of sort) with
+ | NCic.Sort NCic.Prop -> "_ind"
+ | NCic.Sort _ -> "_rect"
+ | _ -> assert false
+ in
+ let holes =
+ HExtlib.mk_list Ast.Implicit (ity.leftno+1+ ity.consno + ity.rightno) in
+ let eliminator =
+ let _,_,w = what in
+ Ast.Appl(Ast.Ident(name,None)::holes @ [ w ])
+ in
+ exact_tac ("",0,eliminator))) ])
+;;
+
+let rewrite_tac ~dir ~what:(_,_,what) ~where =
+ let name =
+ match dir with `LeftToRight -> "eq_elim_r" | `RightToLeft -> "eq_ind"
+ in
+ block_tac
+ [ select_tac ~where ~job:(`Substexpand 1) true;
+ exact_tac
+ ("",0,
+ Ast.Appl(Ast.Ident(name,None)::HExtlib.mk_list Ast.Implicit 5 @
+ [what]))]
;;
let intro_tac name =
- exact_tac
- ("",0,(CicNotationPt.Binder (`Lambda,
- (CicNotationPt.Ident (name,None),None),CicNotationPt.Implicit)))
+ block_tac
+ [ exact_tac
+ ("",0,(Ast.Binder (`Lambda,
+ (Ast.Ident (name,None),None),Ast.Implicit)));
+ if name = "_" then clear_tac [name] else id_tac ]
;;
-let case status goal =
- let _,ctx,_ = get_goal status goal in
- let ty = typeof status (`Ctx ctx) ("",ctx,NCic.Rel 1) in
- let ref =
- match whd status (`Ctx ctx) ty with
- _,_,NCic.Const ref
- | _,_,NCic.Appl (NCic.Const ref :: _) -> ref
- | _,_,_ -> fail (lazy ("not an inductive type")) in
- let _,_,tl,_,i = NCicEnvironment.get_checked_indtys ref in
- let _,_,_,cl = List.nth tl i in
- let consno = List.length cl in
+let cases ~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, _, _ = analyse_indty status ty in
let t =
- NCic.Match (ref,NCic.Implicit `Term,NCic.Rel 1,HExtlib.mk_list (NCic.Implicit `Term) consno)
+ NCic.Match (ref,NCic.Implicit `Term, term_of_cic_term what (ctx_of gty),
+ HExtlib.mk_list (NCic.Implicit `Term) consno)
in
- let status,t,ty = refine status (`Ctx ctx) ("",ctx,t) None in
+ let ctx = ctx_of gty in
+ let status,t,ty = refine status ctx (mk_cic_term ctx t) (Some gty) in
instantiate status goal t
;;
-let case_tac = distribute_tac case;;
+let cases_tac ~what ~where =
+ let indtyinfo = ref None in
+ atomic_tac
+ (block_tac [
+ analyze_indty_tac ~what indtyinfo;
+ force (lazy (select_tac
+ ~where ~job:(`Substexpand ((HExtlib.unopt !indtyinfo).rightno+1))true));
+ distribute_tac (cases ~what) ])
+;;
let case1_tac name =
- block_tac [ intro_tac name; case_tac ]
+ let name = if name = "_" then "_clearme" else name in
+ block_tac [ intro_tac name;
+ cases_tac
+ ~where:("",0,(None,[],None))
+ ~what:("",0,Ast.Ident (name,None));
+ if name = "_clearme" then clear_tac ["_clearme"] else id_tac ]
;;
projects / helm.git / blobdiff