1 (* Copyright (C) 2006, 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 type rule = SuperpositionRight | SuperpositionLeft | Demodulation
28 (* every equality group has its own bag. the bag contains the infos necessary
29 * for building the proof. FIXME: should also contain maxmeta! *)
32 val mk_equality_bag: unit -> equality_bag
38 | Step of Subst.substitution * (rule * int * (Utils.pos * int) * Cic.term)
40 and goal_proof = (rule * Utils.pos * int * Subst.substitution * Cic.term) list
42 type goal = goal_proof * Cic.metasenv * Cic.term
46 (Cic.name option) list -> goal_proof -> proof -> Subst.substitution -> int ->
51 (Cic.name option) list -> goal_proof -> proof -> int -> unit
53 val pp_proofterm: Cic.term -> string
66 equality_bag -> int * proof *
67 (Cic.term * Cic.term * Cic.term * Utils.comparison) *
68 Cic.metasenv -> equality_bag * equality
71 int * (Cic.term * Cic.term * Cic.term * Utils.comparison) * Cic.metasenv ->
77 (Cic.term * Cic.term * Cic.term * Utils.comparison) *
79 val depend : equality_bag -> equality -> int -> bool
80 val compare : equality -> equality -> int
81 val max_weight_in_proof : equality_bag -> int -> proof -> int
82 val max_weight : equality_bag -> goal_proof -> proof -> int
83 val string_of_equality :
84 ?env:Utils.environment -> equality -> string
86 ?names:(Cic.name option)list -> equality_bag -> proof -> goal_proof -> string
87 (* given a proof and a list of meta indexes we are interested in the
88 * instantiation gives back the cic proof and the list of instantiations *)
89 (* build_goal_proof [eq_URI] [goal_proof] [initial_proof] [ty]
90 * [ty] is the type of the goal *)
92 ?contextualize:bool ->
95 UriManager.uri -> goal_proof -> proof -> Cic.term-> int list ->
96 Cic.context -> Cic.metasenv ->
97 Cic.term * Cic.term list
98 val build_proof_term :
100 UriManager.uri -> (int * Cic.term) list -> int -> proof -> Cic.term
101 val refl_proof: UriManager.uri -> Cic.term -> Cic.term -> Cic.term
102 (** ensures that metavariables in equality are unique *)
103 val fix_metas_goal: equality_bag -> goal -> equality_bag * goal
104 val fix_metas: equality_bag -> equality -> equality_bag * equality
105 val metas_of_proof: equality_bag -> proof -> int list
107 (* this should be used _only_ to apply (efficiently) this subst on the
108 * initial proof passed to build_goal_proof *)
109 val add_subst : Subst.substitution -> proof -> proof
110 exception TermIsNotAnEquality;;
113 raises TermIsNotAnEquality if term is not an equation.
114 The first Cic.term is a proof of the equation
116 val equality_of_term:
117 equality_bag -> Cic.term -> Cic.term -> Cic.metasenv ->
118 equality_bag * equality
121 Re-builds the term corresponding to this equality
123 val term_of_equality: UriManager.uri -> equality -> Cic.term
124 val term_is_equality: Cic.term -> bool
127 equality_bag -> Cic.metasenv -> Cic.substitution -> Cic.context -> Cic.term ->
128 equality_bag * Cic.term * Cic.metasenv * Cic.term list
130 val push_maxmeta : equality_bag -> int -> equality_bag
131 val maxmeta : equality_bag -> int
132 val filter_metasenv_gt_maxmeta: equality_bag -> Cic.metasenv -> Cic.metasenv
134 (** tests a sort of alpha-convertibility between the two terms, but on the
136 val meta_convertibility: Cic.term -> Cic.term -> bool
138 (** meta convertibility between two equations *)
139 val meta_convertibility_eq: equality -> equality -> bool
140 val meta_convertibility_subst:
141 Cic.term -> Cic.term -> Cic.metasenv -> Cic.substitution option
143 val is_weak_identity: equality -> bool
144 val is_identity: Utils.environment -> equality -> bool
146 val is_in: equality_bag -> int -> bool
148 (* symmetric [eq_ty] [l] [id] [uri] [m]
150 * given an equality (_,p,(_,[l],r,_),[m],[id]) of 'type' l=r
151 * returns the proof of the symmetric (r=l).
153 * [uri] is the uri of eq
154 * [eq_ty] the ty of the equality sides
157 equality_bag -> Cic.term -> Cic.term -> int -> UriManager.uri ->
158 Cic.metasenv -> equality_bag * proof
160 (* takes 3 lists of alive ids (they are threated the same way, the type is
161 * funny just to not oblige you to concatenate them) and drops all the dead
163 val collect: equality_bag -> int list -> int list -> int list -> equality_bag
165 (* given an equality, returns the numerical id *)
166 val id_of: equality -> int
168 (* profiling statistics *)
169 val get_stats: unit -> string