1 (* Copyright (C) 2005, 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.
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15 * GNU General Public License for more details.
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23 * http://cs.unibo.it/helm/.
30 module PosEqSet : Set.S
31 with type elt = Utils.pos * Equality.equality
32 and type t = Equality_indexing.DT.PosEqSet.t
34 Discrimination_tree.Make(Cic_indexable.CicIndexable)(PosEqSet).t
37 val check_for_duplicates : Cic.metasenv -> string -> unit
38 val index : Index.t -> Equality.equality -> Index.t
39 val remove_index : Index.t -> Equality.equality -> Index.t
40 val in_index : Index.t -> Equality.equality -> bool
42 val init_index : unit -> unit
44 Cic.metasenv * Cic.context * CicUniv.universe_graph ->
47 (Subst.substitution * Equality.equality * bool) option
49 Cic.metasenv * Cic.context * CicUniv.universe_graph ->
52 (Subst.substitution * Equality.equality * bool) option
54 Cic.metasenv * Cic.context * CicUniv.universe_graph ->
57 (Subst.substitution * Equality.equality * bool) list
59 Cic.metasenv * Cic.context * CicUniv.universe_graph ->
62 (Subst.substitution * Equality.equality * bool) list
63 val superposition_left :
64 Equality.equality_bag ->
65 Cic.conjecture list * Cic.context * CicUniv.universe_graph ->
66 Index.t -> Equality.goal ->
67 Equality.equality_bag * Equality.goal list
69 val superposition_right :
70 Equality.equality_bag ->
71 ?subterms_only:bool ->
73 Cic.metasenv * Cic.context * CicUniv.universe_graph ->
76 Equality.equality_bag * Equality.equality list
79 Equality.equality_bag ->
80 Cic.metasenv * Cic.context * CicUniv.universe_graph ->
84 val demodulation_equality :
85 Equality.equality_bag ->
88 Cic.metasenv * Cic.context * CicUniv.universe_graph ->
90 Equality.equality -> Equality.equality_bag * Equality.equality
91 val demodulation_goal :
92 Equality.equality_bag ->
93 Cic.metasenv * Cic.context * CicUniv.universe_graph ->
97 val demodulation_all_goal :
98 Equality.equality_bag ->
99 Cic.metasenv * Cic.context * CicUniv.universe_graph ->
101 Equality.goal -> int ->
103 val demodulation_theorem :
104 Equality.equality_bag ->
105 Cic.metasenv * Cic.context * CicUniv.universe_graph ->
107 Cic.term * Cic.term * Cic.metasenv
108 -> Cic.term * Cic.term
111 Equality.equality_bag ->
113 Equality.equality -> string -> unit
114 val solve_demodulating:
115 Equality.equality_bag ->
116 Cic.metasenv * Cic.context * CicUniv.universe_graph ->
120 (Equality.equality_bag * Equality.goal_proof * Cic.metasenv *
121 Subst.substitution * Equality.proof) option