--- /dev/null
+(*
+ ||M|| This file is part of HELM, an Hypertextual, Electronic
+ ||A|| Library of Mathematics, developed at the Computer Science
+ ||T|| Department, University of Bologna, Italy.
+ ||I||
+ ||T|| HELM is free software; you can redistribute it and/or
+ ||A|| modify it under the terms of the GNU General Public License
+ \ / version 2 or (at your option) any later version.
+ \ / This software is distributed as is, NO WARRANTY.
+ V_______________________________________________________________ *)
+
+(* $Id: nCic.ml 9058 2008-10-13 17:42:30Z tassi $ *)
+
+let debug = ref false;;
+let pp x =
+ if !debug then prerr_endline (Lazy.force x) else ()
+;;
+
+exception Error of string lazy_t * exn option
+let fail ?exn msg = raise (Error (msg,exn))
+
+module NRef = NReference
+
+let wrap fname f x =
+ try f x
+ with
+ | MultiPassDisambiguator.DisambiguationError _
+ | NCicRefiner.RefineFailure _
+ | NCicUnification.UnificationFailure _
+ | NCicTypeChecker.TypeCheckerFailure _
+ | NCicMetaSubst.MetaSubstFailure _ as exn -> fail ~exn (lazy fname)
+;;
+
+class type g_pstatus =
+ object
+ inherit NEstatus.g_status
+ method obj: NCic.obj
+ end
+
+class pstatus =
+ fun (o: NCic.obj) ->
+ object (self)
+ inherit NEstatus.status
+ val obj = o
+ method obj = obj
+ method set_obj o = {< obj = o >}
+ method set_pstatus : 'status. #g_pstatus as 'status -> 'self
+ = fun o -> (self#set_estatus o)#set_obj o#obj
+ end
+
+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#obj);
+ prerr_endline ("STACK:\n" ^ Continuationals.Stack.pp status#stack)
+;;
+
+type cic_term = NCic.context * NCic.term
+let ctx_of (c,_) = c ;;
+let mk_cic_term c t = c,t ;;
+
+let ppterm status t =
+ let uri,height,metasenv,subst,obj = status#obj in
+ let context,t = t in
+ NCicPp.ppterm ~metasenv ~subst ~context t
+;;
+
+let ppcontext status c =
+ let uri,height,metasenv,subst,obj = status#obj in
+ NCicPp.ppcontext ~metasenv ~subst c
+;;
+
+let ppterm_and_context status t =
+ let uri,height,metasenv,subst,obj = status#obj in
+ let context,t = t in
+ NCicPp.ppcontext ~metasenv ~subst context ^ "\n ⊢ "^
+ NCicPp.ppterm ~metasenv ~subst ~context t
+;;
+
+let relocate status destination (source,t as orig) =
+ pp(lazy("relocate:\n" ^ ppterm_and_context status orig));
+ pp(lazy("relocate in:\n" ^ ppcontext status destination));
+ let rc =
+ if source == destination then status, orig else
+ let _, _, metasenv, subst, _ = status#obj in
+ let rec compute_ops ctx = function (* destination, source *)
+ | (n1, NCic.Decl t1 as e)::cl1 as ex, (n2, NCic.Decl t2)::cl2 ->
+ if n1 = n2 &&
+ NCicReduction.are_convertible ctx ~subst ~metasenv t1 t2 then
+ compute_ops (e::ctx) (cl1,cl2)
+ else
+ [ `Delift ctx; `Lift (List.rev ex) ]
+ | (n1, NCic.Def (b1,t1) as e)::cl1 as ex, (n2, NCic.Def (b2,t2))::cl2 ->
+ if n1 = n2 &&
+ NCicReduction.are_convertible ctx ~subst ~metasenv t1 t2 &&
+ NCicReduction.are_convertible ctx ~subst ~metasenv b1 b2 then
+ compute_ops (e::ctx) (cl1,cl2)
+ else
+ [ `Delift ctx; `Lift (List.rev ex) ]
+ | (n1, NCic.Def (b1,t1) as e)::cl1 as ex, (n2, NCic.Decl t2)::cl2 ->
+ if n1 = n2 &&
+ NCicReduction.are_convertible ctx ~subst ~metasenv t1 t2 then
+ compute_ops (e::ctx) (cl1,cl2)
+ else
+ [ `Delift ctx; `Lift (List.rev ex) ]
+ | (n1, NCic.Decl _)::cl1 as ex, (n2, NCic.Def _)::cl2 ->
+ [ `Delift ctx; `Lift (List.rev ex) ]
+ | _::_ as ex, [] -> [ `Lift (List.rev ex) ]
+ | [], _::_ -> [ `Delift ctx ]
+ | [],[] -> []
+ in
+ let ops = compute_ops [] (List.rev destination, List.rev source) in
+ let rec mk_irl i j = if i > j then [] else NCic.Rel i :: mk_irl (i+1) j in
+ List.fold_left
+ (fun (status, (source,t)) -> function
+ | `Lift extra_ctx ->
+ let len = List.length extra_ctx in
+ status, (extra_ctx@source, NCicSubstitution.lift len t)
+ | `Delift ctx ->
+ let len_ctx = List.length ctx in
+ let irl = mk_irl 1 (List.length ctx) in
+ let lc = List.length source - len_ctx, NCic.Ctx irl in
+ let u, d, metasenv, subst, o = status#obj in
+ pp(lazy("delifting as " ^
+ NCicPp.ppterm ~metasenv ~subst ~context:source
+ (NCic.Meta (0,lc))));
+ let (metasenv, subst), t =
+ NCicMetaSubst.delift
+ ~unify:(fun m s c t1 t2 ->
+ try Some (NCicUnification.unify status m s c t1 t2)
+ with
+ | NCicUnification.UnificationFailure _
+ | NCicUnification.Uncertain _ -> None)
+ metasenv subst source 0 lc t
+ in
+ let status = status#set_obj (u, d, metasenv, subst, o) in
+ status, (ctx,t))
+ (status,orig) ops
+ in
+ pp(lazy("relocated: " ^ ppterm (fst rc) (snd rc)));
+ rc
+;;
+let relocate a b c = wrap "relocate" (relocate a b) c;;
+
+let term_of_cic_term s t c =
+ let s, (_,t) = relocate s c t in
+ s, t
+;;
+
+let disambiguate status context t ty =
+ let status, expty =
+ match ty with
+ | None -> status, None
+ | Some ty ->
+ let status, (_,x) = relocate status context ty in status, Some x
+ in
+ let uri,height,metasenv,subst,obj = status#obj in
+ let metasenv, subst, status, t =
+ GrafiteDisambiguate.disambiguate_nterm expty status context metasenv subst t
+ in
+ let new_pstatus = uri,height,metasenv,subst,obj in
+ status#set_obj new_pstatus, (context, t)
+;;
+let disambiguate a b c d = wrap "disambiguate" (disambiguate a b c) d;;
+
+let typeof status ctx t =
+ let status, (_,t) = relocate status ctx t in
+ let _,_,metasenv,subst,_ = status#obj in
+ let ty = NCicTypeChecker.typeof ~subst ~metasenv ctx t in
+ status, (ctx, ty)
+;;
+let typeof a b c = wrap "typeof" (typeof a b) c;;
+
+let saturate status ?delta (ctx,t) =
+ let n,h,metasenv,subst,k = status#obj in
+ let t,metasenv,args = NCicMetaSubst.saturate ?delta metasenv subst ctx t 0 in
+ let status = status#set_obj (n,h,metasenv,subst,k) in
+ status, (ctx,t), List.map (fun x -> ctx,x) args
+;;
+let saturate a ?delta b = wrap "saturate" (saturate a ?delta) b;;
+
+let whd status ?delta ctx t =
+ let status, (_,t) = relocate status ctx t in
+ let _,_,_,subst,_ = status#obj in
+ let t = NCicReduction.whd ~subst ?delta ctx t in
+ status, (ctx, t)
+;;
+
+let normalize status ?delta ctx t =
+ let status, (_,t) = relocate status ctx t in
+ let _,_,_,subst,_ = status#obj in
+ let t = NCicTacReduction.normalize ~subst ?delta ctx t in
+ status, (ctx, t)
+;;
+
+let unify status ctx a b =
+ let status, (_,a) = relocate status ctx a in
+ let status, (_,b) = relocate status ctx b in
+ let n,h,metasenv,subst,o = status#obj in
+ let metasenv, subst = NCicUnification.unify status metasenv subst ctx a b in
+ status#set_obj (n,h,metasenv,subst,o)
+;;
+let unify a b c d = wrap "unify" (unify a b c) d;;
+
+let fix_sorts status (ctx,t) =
+ let f () =
+ let name,height,metasenv,subst,obj = status#obj in
+ let metasenv, t =
+ NCicUnification.fix_sorts metasenv subst t in
+ let status = status#set_obj (name,height,metasenv,subst,obj) in
+ status, (ctx,t)
+ in
+ wrap "fix_sorts" f ()
+;;
+
+let refine status ctx term expty =
+ let status, (_,term) = relocate status ctx term in
+ let status, expty =
+ match expty with
+ None -> status, None
+ | Some e ->
+ let status, (_, e) = relocate status ctx e in status, Some e
+ in
+ let name,height,metasenv,subst,obj = status#obj in
+ let metasenv,subst,t,ty =
+ NCicRefiner.typeof status metasenv subst ctx term expty
+ in
+ status#set_obj (name,height,metasenv,subst,obj), (ctx,t), (ctx,ty)
+;;
+let refine a b c d = wrap "refine" (refine a b c) d;;
+
+let get_goalty status g =
+ let _,_,metasenv,_,_ = status#obj in
+ try
+ let _, ctx, ty = NCicUtils.lookup_meta g metasenv in
+ ctx, ty
+ with NCicUtils.Meta_not_found _ as exn -> fail ~exn (lazy "get_goalty")
+;;
+
+let get_subst status =
+ let _,_,_,subst,_ = status#obj in subst
+;;
+
+let to_subst status i entry =
+ let name,height,metasenv,subst,obj = status#obj in
+ let metasenv = List.filter (fun j,_ -> j <> i) metasenv in
+ let subst = (i, entry) :: subst in
+ status#set_obj (name,height,metasenv,subst,obj)
+;;
+
+let instantiate status i t =
+ let _,_,metasenv,_,_ = status#obj in
+ let gname, context, gty = List.assoc i metasenv in
+ let status, (_,t), (_,ty) = refine status context t (Some (context,gty)) in
+ to_subst status i (gname,context,t,ty)
+;;
+
+let instantiate_with_ast status i t =
+ let _,_,metasenv,_,_ = status#obj in
+ let gname, context, gty = List.assoc i metasenv in
+ let ggty = mk_cic_term context gty in
+ let status, (_,t) = disambiguate status context t (Some ggty) in
+ to_subst status i (gname,context,t,gty)
+;;
+
+let mk_meta status ?(attrs=[]) ctx bo_or_ty kind =
+ match bo_or_ty with
+ | `Decl ty ->
+ let status, (_,ty) = relocate status ctx ty in
+ let n,h,metasenv,subst,o = status#obj in
+ let metasenv, _, instance, _ =
+ NCicMetaSubst.mk_meta ~attrs metasenv ctx ~with_type:ty kind
+ in
+ let status = status#set_obj (n,h,metasenv,subst,o) in
+ status, (ctx,instance)
+ | `Def bo ->
+ let status, (_,bo_ as bo) = relocate status ctx bo in
+ let status, (_,ty) = typeof status ctx bo in
+ let n,h,metasenv,subst,o = status#obj in
+ let metasenv, metano, instance, _ =
+ NCicMetaSubst.mk_meta ~attrs metasenv ctx ~with_type:ty kind in
+ let attrs,_,_ = NCicUtils.lookup_meta metano metasenv in
+ let metasenv = List.filter (fun j,_ -> j <> metano) metasenv in
+ let subst = (metano, (attrs, ctx, bo_, ty)) :: subst in
+ let status = status#set_obj (n,h,metasenv,subst,o) in
+ status, (ctx,instance)
+;;
+
+let mk_in_scope status t =
+ mk_meta status ~attrs:[`InScope] (ctx_of t) (`Def t) `IsTerm
+;;
+
+let mk_out_scope n status t =
+ mk_meta status ~attrs:[`OutScope n] (ctx_of t) (`Def t) `IsTerm
+;;
+
+(* the following unification problem will be driven by
+ * select s ~found:mk_in_scope ~postprocess:(mk_out_scope argsno) t pattern
+ *
+ * ? args = t
+ *
+ * where argsn = length args and the pattern matches t
+ *
+ * found is called on every selected term to map them
+ * postprocess is called on the entire term after selection
+ *)
+let select_term
+ low_status ~found ~postprocess (context,term) (wanted,path)
+=
+ let is_found status ctx t wanted =
+ (* we could lift wanted step-by-step *)
+ pp(lazy("is_found: "^ppterm status (ctx,t)));
+ try true, unify status ctx (ctx, t) wanted
+ with
+ | Error (_, Some (NCicUnification.UnificationFailure _))
+ | Error (_, Some (NCicUnification.Uncertain _)) -> false, status
+ in
+ let match_term status ctx (wanted : cic_term) t =
+ let rec aux ctx (status,already_found) t =
+ let b, status = is_found status ctx t wanted in
+ if b then
+ let status , (_,t) = found status (ctx, t) in
+ (status,true),t
+ else
+ let _,_,_,subst,_ = status#obj in
+ match t with
+ | NCic.Meta (i,lc) when List.mem_assoc i subst ->
+ let _,_,t,_ = NCicUtils.lookup_subst i subst in
+ aux ctx (status,already_found) t
+ | NCic.Meta _ -> (status,already_found),t
+ | _ ->
+ NCicUntrusted.map_term_fold_a (fun e c -> e::c) ctx aux
+ (status,already_found) t
+ in
+ aux ctx (status,false) t
+ in
+ let _,_,_,subst,_ = low_status#obj in
+ let rec select status ctx pat cic =
+ match pat, cic with
+ | _, NCic.Meta (i,lc) when List.mem_assoc i subst ->
+ let cic =
+ let _,_,t,_ = NCicUtils.lookup_subst i subst in
+ NCicSubstitution.subst_meta lc t
+ in
+ select status ctx pat cic
+ | 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 ctx wanted None in
+ pp(lazy("wanted: "^ppterm status' wanted));
+ let (status',found), t' = match_term status' ctx wanted t in
+ if found then status',t' else status,t
+ | None ->
+ let (status,_),t = match_term status ctx (ctx,t) t in
+ status,t)
+ | NCic.Implicit _, t -> status, t
+ | _,t ->
+ fail (lazy ("malformed pattern: " ^ NCicPp.ppterm ~metasenv:[]
+ ~context:[] ~subst:[] pat ^ " against " ^
+ NCicPp.ppterm ~metasenv:[] ~subst:[] ~context:[] t))
+ in
+ pp(lazy ("select in: "^ppterm low_status (context,term)));
+ let status, term = select low_status context path term in
+ let term = (context, term) in
+ pp(lazy ("postprocess: "^ppterm low_status term));
+ postprocess status term
+;;
+
+let analyse_indty status ty =
+ let status, reduct = whd status (ctx_of ty) ty in
+ let ref, args =
+ match reduct with
+ | _,NCic.Const ref -> ref, []
+ | _,NCic.Appl (NCic.Const (NRef.Ref (_,(NRef.Ind _)) as ref) :: args) ->
+ ref, args
+ | _,_ -> fail (lazy ("not an inductive type: " ^ ppterm status ty)) in
+ let _,lno,tl,_,i = NCicEnvironment.get_checked_indtys ref in
+ let _,_,_,cl = List.nth tl i in
+ let consno = List.length cl in
+ let left, right = HExtlib.split_nth lno args in
+ status, (ref, consno, left, right)
+;;
+
+let apply_subst status ctx t =
+ let status, (_,t) = relocate status ctx t in
+ let _,_,_,subst,_ = status#obj in
+ status, (ctx, NCicUntrusted.apply_subst subst ctx t)
+;;
+
+let apply_subst_context status ~fix_projections ctx =
+ let _,_,_,subst,_ = status#obj in
+ NCicUntrusted.apply_subst_context ~fix_projections subst ctx
+;;
+
+let metas_of_term status (context,t) =
+ let _,_,_,subst,_ = status#obj in
+ NCicUntrusted.metas_of_term subst context t
+;;
+
+(* ============= move this elsewhere ====================*)
+
+class type ['stack] g_status =
+ object
+ inherit g_pstatus
+ method stack: 'stack
+ end
+
+class ['stack] status =
+ fun (o: NCic.obj) (s: 'stack) ->
+ object (self)
+ inherit (pstatus o)
+ val stack = s
+ method stack = stack
+ method set_stack s = {< stack = s >}
+ method set_status : 'status. 'stack #g_status as 'status -> 'self
+ = fun o -> (self#set_pstatus o)#set_stack o#stack
+ end
+
+class type lowtac_status = [unit] status
+
+type 'status lowtactic = #lowtac_status as 'status -> int -> 'status
+
+class type tac_status = [Continuationals.Stack.t] status
+
+type 'status tactic = #tac_status as 'status -> 'status
+
+module NCicInverseRelIndexable : Discrimination_tree.Indexable
+with type input = cic_term and type constant_name = NUri.uri = struct
+
+open Discrimination_tree
+
+type input = cic_term
+type constant_name = NUri.uri
+
+let ppelem = function
+ | Constant (uri,arity) ->
+ "("^NUri.name_of_uri uri ^ "," ^ string_of_int arity^")"
+ | Bound (i,arity) ->
+ "("^string_of_int i ^ "," ^ string_of_int arity^")"
+ | Variable -> "?"
+ | Proposition -> "Prop"
+ | Datatype -> "Type"
+ | Dead -> "Dead"
+;;
+
+let string_of_path l = String.concat "." (List.map ppelem l) ;;
+
+let path_string_of (ctx,t) =
+ let len_ctx = List.length ctx in
+ let rec aux arity = function
+ | NCic.Appl ((NCic.Meta _|NCic.Implicit _)::_) -> [Variable]
+ | NCic.Appl (NCic.Lambda _ :: _) -> [Variable] (* maybe we should b-reduce *)
+ | NCic.Appl [] -> assert false
+ | NCic.Appl (hd::tl) ->
+ aux (List.length tl) hd @ List.flatten (List.map (aux 0) tl)
+ | NCic.Lambda _ | NCic.Prod _ -> [Variable]
+ (* I think we should CicSubstitution.subst Implicit t *)
+ | NCic.LetIn _ -> [Variable] (* z-reduce? *)
+ | NCic.Meta _ | NCic.Implicit _ -> assert (arity = 0); [Variable]
+ | NCic.Rel i -> [Bound (len_ctx - i, arity)]
+ | NCic.Sort (NCic.Prop) -> assert (arity=0); [Proposition]
+ | NCic.Sort _ -> assert (arity=0); [Datatype]
+ | NCic.Const (NReference.Ref (u,_)) -> [Constant (u, arity)]
+ | NCic.Match _ -> [Dead]
+ in
+ let path = aux 0 t in
+(* prerr_endline (string_of_path path); *)
+ path
+;;
+
+let compare e1 e2 =
+ match e1,e2 with
+ | Constant (u1,a1),Constant (u2,a2) ->
+ let x = NUri.compare u1 u2 in
+ if x = 0 then Pervasives.compare a1 a2 else x
+ | e1,e2 -> Pervasives.compare e1 e2
+;;
+
+
+end
+
+module Ncic_termOT : Set.OrderedType with type t = cic_term =
+ struct
+ type t = cic_term
+ let compare = Pervasives.compare
+ end
+
+module Ncic_termSet : Set.S with type elt = cic_term = Set.Make(Ncic_termOT)
+
+module InvRelDiscriminationTree =
+ Discrimination_tree.Make(NCicInverseRelIndexable)(Ncic_termSet)
+
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