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[helm.git] / helm / ocaml / cic_unification / cicMetaSubst.mli

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-(* Copyright (C) 2004, HELM Team.
- * 
- * This file is part of HELM, an Hypertextual, Electronic
- * Library of Mathematics, developed at the Computer Science
- * Department, University of Bologna, Italy.
- * 
- * HELM is free software; you can redistribute it and/or
- * modify it under the terms of the GNU General Public License
- * as published by the Free Software Foundation; either version 2
- * of the License, or (at your option) any later version.
- * 
- * HELM is distributed in the hope that it will be useful,
- * but WITHOUT ANY WARRANTY; without even the implied warranty of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
- * GNU General Public License for more details.
- *
- * You should have received a copy of the GNU General Public License
- * along with HELM; if not, write to the Free Software
- * Foundation, Inc., 59 Temple Place - Suite 330, Boston,
- * MA  02111-1307, USA.
- * 
- * For details, see the HELM World-Wide-Web page,
- * http://helm.cs.unibo.it/
- *)
-
-exception MetaSubstFailure of string
-exception Uncertain of string
-exception AssertFailure of string
-
-(* The entry (i,t) in a substitution means that *)
-(* (META i) have been instantiated with t.      *)
-type substitution = (int * Cic.term) list
-
-(* apply_subst subst t                     *)
-(* applies the substitution [subst] to [t] *)
-(* [subst] must be already unwinded        *)
-val apply_subst : substitution -> Cic.term -> Cic.term
-
-(* apply_subst_reducing subst (Some (mtr,reductions_no)) t              *)
-(* performs as (apply_subst subst t) until it finds an application of   *)
-(* (META [mtr]) that, once unwinding is performed, creates a new        *)
-(* beta-redex; in this case up to [reductions_no] consecutive           *)
-(* beta-reductions are performed.                                       *)
-(* Hint: this function is usually called when [reductions_no]           *)
-(*  eta-expansions have been performed and the head of the new          *)
-(*  application has been unified with (META [meta_to_reduce]):          *)
-(*  during the unwinding the eta-expansions are undone.                 *)
-(* [subst] must be already unwinded                                     *)
-val apply_subst_reducing :
- (int * int) option -> substitution -> Cic.term -> Cic.term
-
-val apply_subst_context : substitution -> Cic.context -> Cic.context
-val apply_subst_metasenv: substitution -> Cic.metasenv -> Cic.metasenv
-
-(* {2 Kernel wrappers}
- * From now on we recreate a kernel abstraction where substitutions are part of
- * the calculus *)
-
-val lift : substitution -> int -> Cic.term -> Cic.term
-val subst: substitution -> Cic.term -> Cic.term -> Cic.term
-val whd: substitution -> Cic.context -> Cic.term -> Cic.term
-val are_convertible: substitution -> Cic.context -> Cic.term -> Cic.term -> bool
-
-val type_of_aux':
-  Cic.metasenv -> substitution -> Cic.context -> Cic.term -> Cic.term
-
-val tempi_type_of_aux : float ref
-val tempi_type_of_aux_subst : float ref
-
-(*** delifting ***)
-
-val delift : 
-  int -> substitution -> Cic.context -> Cic.metasenv ->
-  (Cic.term option) list -> Cic.term ->
-    Cic.term * Cic.metasenv * substitution
-
-(** {2 Pretty printers} *)
-
-val ppsubst: substitution -> string
-val ppterm: substitution -> Cic.term -> string
-val ppcontext: ?sep: string -> substitution -> Cic.context -> string
-val ppterm_in_context:
- substitution -> Cic.term -> (Cic.name option) list -> string
-val ppmetasenv: ?sep: string -> Cic.metasenv -> substitution -> string
-
-(** {2 Format-like pretty printers}
- * As above with prototypes suitable for toplevel/ocamldebug printers. No
- * subsitutions are applied here since such printers are required to be invoked
- * with only one argument.
- *)
-
-val fppsubst: Format.formatter -> substitution -> unit
-val fppterm: Format.formatter -> Cic.term -> unit
-val fppmetasenv: Format.formatter -> Cic.metasenv -> unit
-