1 (* Copyright (C) 2004, HELM Team.
3 * This file is part of HELM, an Hypertextual, Electronic
4 * Library of Mathematics, developed at the Computer Science
5 * Department, University of Bologna, Italy.
7 * HELM is free software; you can redistribute it and/or
8 * modify it under the terms of the GNU General Public License
9 * as published by the Free Software Foundation; either version 2
10 * of the License, or (at your option) any later version.
12 * HELM is distributed in the hope that it will be useful,
13 * but WITHOUT ANY WARRANTY; without even the implied warranty of
14 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
15 * GNU General Public License for more details.
17 * You should have received a copy of the GNU General Public License
18 * along with HELM; if not, write to the Free Software
19 * Foundation, Inc., 59 Temple Place - Suite 330, Boston,
22 * For details, see the HELM World-Wide-Web page,
23 * http://helm.cs.unibo.it/
26 exception MetaSubstFailure of string
27 exception Uncertain of string
28 exception AssertFailure of string
30 (* The entry (i,t) in a substitution means that *)
31 (* (META i) have been instantiated with t. *)
32 type substitution = (int * Cic.term) list
34 (* apply_subst subst t *)
35 (* applies the substitution [subst] to [t] *)
36 (* [subst] must be already unwinded *)
37 val apply_subst : substitution -> Cic.term -> Cic.term
39 (* apply_subst_reducing subst (Some (mtr,reductions_no)) t *)
40 (* performs as (apply_subst subst t) until it finds an application of *)
41 (* (META [mtr]) that, once unwinding is performed, creates a new *)
42 (* beta-redex; in this case up to [reductions_no] consecutive *)
43 (* beta-reductions are performed. *)
44 (* Hint: this function is usually called when [reductions_no] *)
45 (* eta-expansions have been performed and the head of the new *)
46 (* application has been unified with (META [meta_to_reduce]): *)
47 (* during the unwinding the eta-expansions are undone. *)
48 (* [subst] must be already unwinded *)
49 val apply_subst_reducing :
50 (int * int) option -> substitution -> Cic.term -> Cic.term
52 val apply_subst_context : substitution -> Cic.context -> Cic.context
53 val apply_subst_metasenv: substitution -> Cic.metasenv -> Cic.metasenv
55 (* {2 Kernel wrappers}
56 * From now on we recreate a kernel abstraction where substitutions are part of
59 val lift : substitution -> int -> Cic.term -> Cic.term
60 val subst: substitution -> Cic.term -> Cic.term -> Cic.term
61 val whd: substitution -> Cic.context -> Cic.term -> Cic.term
62 val are_convertible: substitution -> Cic.context -> Cic.term -> Cic.term -> bool
65 Cic.metasenv -> substitution -> Cic.context -> Cic.term -> Cic.term
67 val tempi_type_of_aux : float ref
68 val tempi_type_of_aux_subst : float ref
73 int -> substitution -> Cic.context -> Cic.metasenv ->
74 (Cic.term option) list -> Cic.term ->
75 Cic.term * Cic.metasenv * substitution
77 (** {2 Pretty printers} *)
79 val ppsubst: substitution -> string
80 val ppterm: substitution -> Cic.term -> string
81 val ppcontext: ?sep: string -> substitution -> Cic.context -> string
82 val ppterm_in_context:
83 substitution -> Cic.term -> (Cic.name option) list -> string
84 val ppmetasenv: ?sep: string -> Cic.metasenv -> substitution -> string
86 (** {2 Format-like pretty printers}
87 * As above with prototypes suitable for toplevel/ocamldebug printers. No
88 * subsitutions are applied here since such printers are required to be invoked
89 * with only one argument.
92 val fppsubst: Format.formatter -> substitution -> unit
93 val fppterm: Format.formatter -> Cic.term -> unit
94 val fppmetasenv: Format.formatter -> Cic.metasenv -> unit