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/
28 type direction = [ `LeftToRight | `RightToLeft ]
30 type loc = Stdpp.location
32 type ('term, 'lazy_term, 'ident) pattern =
33 'lazy_term option * ('ident * 'term) list * 'term option
36 CicNotationPt.term option * (string * CicNotationPt.term) list * CicNotationPt.term option
38 type 'lazy_term reduction =
41 | `Unfold of 'lazy_term option
44 type 'ident intros_spec = int option * 'ident option list
46 type 'term auto_params = 'term list * (string*string) list
50 | `Auto of 'term auto_params ]
53 | NApply of loc * CicNotationPt.term
54 | NAssert of loc * ((string * [`Decl of CicNotationPt.term | `Def of CicNotationPt.term * CicNotationPt.term]) list * CicNotationPt.term) list
55 | NCases of loc * CicNotationPt.term * npattern
56 | NCase1 of loc * string
57 | NChange of loc * npattern * CicNotationPt.term
58 | NElim of loc * CicNotationPt.term * npattern
59 | NGeneralize of loc * npattern
61 | NIntro of loc * string
62 | NLetIn of loc * npattern * CicNotationPt.term * string
63 | NReduce of loc * [ `Normalize of bool | `Whd of bool ] * npattern
64 | NRewrite of loc * direction * CicNotationPt.term * npattern
65 | NAuto of loc * CicNotationPt.term auto_params
70 | NPos of loc * int list
74 | NFocus of loc * int list
76 | NTry of loc * ntactic
78 | NRepeat of loc * ntactic
79 | NBlock of loc * ntactic list
81 type ('term, 'lazy_term, 'reduction, 'ident) tactic =
82 (* Higher order tactics (i.e. tacticals) *)
83 | Do of loc * int * ('term, 'lazy_term, 'reduction, 'ident) tactic
84 | Repeat of loc * ('term, 'lazy_term, 'reduction, 'ident) tactic
85 | Seq of loc * ('term, 'lazy_term, 'reduction, 'ident) tactic list
86 (* sequential composition *)
87 | Then of loc * ('term, 'lazy_term, 'reduction, 'ident) tactic *
88 ('term, 'lazy_term, 'reduction, 'ident) tactic list
89 | First of loc * ('term, 'lazy_term, 'reduction, 'ident) tactic list
90 (* try a sequence of loc * tactic until one succeeds, fail otherwise *)
91 | Try of loc * ('term, 'lazy_term, 'reduction, 'ident) tactic
92 (* try a tactic and mask failures *)
93 | Solve of loc * ('term, 'lazy_term, 'reduction, 'ident) tactic list
94 | Progress of loc * ('term, 'lazy_term, 'reduction, 'ident) tactic
96 | Absurd of loc * 'term
97 | Apply of loc * 'term
98 | ApplyRule of loc * 'term
99 | ApplyP of loc * 'term (* apply for procedural reconstruction *)
100 | ApplyS of loc * 'term * 'term auto_params
102 | AutoBatch of loc * 'term auto_params
103 | Cases of loc * 'term * ('term, 'lazy_term, 'ident) pattern *
105 | Change of loc * ('term, 'lazy_term, 'ident) pattern * 'lazy_term
106 | Clear of loc * 'ident list
107 | ClearBody of loc * 'ident
108 | Compose of loc * 'term * 'term option * int * 'ident intros_spec
109 | Constructor of loc * int
110 | Contradiction of loc
111 | Cut of loc * 'ident option * 'term
112 | Decompose of loc * 'ident option list
113 | Demodulate of loc * 'term auto_params
114 | Destruct of loc * 'term list option
115 | Elim of loc * 'term * 'term option * ('term, 'lazy_term, 'ident) pattern *
117 | ElimType of loc * 'term * 'term option * 'ident intros_spec
118 | Exact of loc * 'term
121 | Fold of loc * 'reduction * 'lazy_term * ('term, 'lazy_term, 'ident) pattern
123 | FwdSimpl of loc * string * 'ident option list
124 | Generalize of loc * ('term, 'lazy_term, 'ident) pattern * 'ident option
126 | Intros of loc * 'ident intros_spec
127 | Inversion of loc * 'term
128 | LApply of loc * bool * int option * 'term list * 'term * 'ident option
130 | LetIn of loc * 'term * 'ident
131 | Reduce of loc * 'reduction * ('term, 'lazy_term, 'ident) pattern
133 | Replace of loc * ('term, 'lazy_term, 'ident) pattern * 'lazy_term
134 | Rewrite of loc * direction * 'term *
135 ('term, 'lazy_term, 'ident) pattern * 'ident option list
140 | Transitivity of loc * 'term
141 (* Declarative language *)
142 | Assume of loc * 'ident * 'term
143 | Suppose of loc * 'term *'ident * 'term option
144 | By_just_we_proved of loc * 'term just *
145 'term * 'ident option * 'term option
146 | We_need_to_prove of loc * 'term * 'ident option * 'term option
147 | Bydone of loc * 'term just
148 | We_proceed_by_induction_on of loc * 'term * 'term
149 | We_proceed_by_cases_on of loc * 'term * 'term
150 | Byinduction of loc * 'term * 'ident
151 | Thesisbecomes of loc * 'term
152 | Case of loc * string * (string * 'term) list
153 | ExistsElim of loc * 'term just * 'ident * 'term * 'ident * 'lazy_term
154 | AndElim of loc * 'term just * 'ident * 'term * 'ident * 'term
156 loc * (string option * 'term) option * 'term *
157 [ `Term of 'term | `Auto of 'term auto_params
158 | `Proof | `SolveWith of 'term ] *
161 type search_kind = [ `Locate | `Hint | `Match | `Elim ]
163 type print_kind = [ `Env | `Coer ]
165 type inline_param = IPPrefix of string (* undocumented *)
166 | IPAs of Cic.object_flavour (* preferred flavour *)
167 | IPCoercions (* show coercions *)
168 | IPDebug of int (* set debug level *)
169 | IPProcedural (* procedural rendering *)
170 | IPNoDefaults (* no default-based tactics *)
171 | IPLevel of int (* granularity level *)
172 | IPDepth of int (* undocumented *)
173 | IPComments (* show statistics *)
174 | IPCR (* detect convertible rewriting *)
176 type ('term,'lazy_term) macro =
178 | WHint of loc * 'term
179 | WMatch of loc * 'term
180 | WInstance of loc * 'term
181 | WLocate of loc * string
182 | WElim of loc * 'term
184 | Eval of loc * 'lazy_term reduction * 'term
185 | Check of loc * 'term
187 | AutoInteractive of loc * 'term auto_params
188 | Inline of loc * string * inline_param list
189 (* URI or base-uri, parameters *)
191 (** To be increased each time the command type below changes, used for "safe"
195 type ('term,'obj) command =
196 | Index of loc * 'term option (* key *) * UriManager.uri (* value *)
197 | Select of loc * UriManager.uri
199 | Coercion of loc * 'term * bool (* add_obj *) *
200 int (* arity *) * int (* saturations *)
201 | PreferCoercion of loc * 'term
202 | Inverter of loc * string * 'term * bool list
203 | Default of loc * string * UriManager.uri list
205 | Include of loc * bool (* normal? *) * [`New | `OldAndNew] * string
208 loc * string * 'term * 'term * 'term option * 'term option * 'term option
209 | Set of loc * string * string
210 | Print of loc * string
214 | UnificationHint of loc * CicNotationPt.term * int (* term, precedence *)
215 | NObj of loc * CicNotationPt.term CicNotationPt.obj
216 | NUnivConstraint of loc * bool * NUri.uri * NUri.uri
217 | NCopy of loc * string * NUri.uri * (NUri.uri * NUri.uri) list
218 | NCoercion of loc * string *
219 CicNotationPt.term * CicNotationPt.term *
220 (string * CicNotationPt.term) * CicNotationPt.term
223 type punctuation_tactical =
228 | Pos of loc * int list
232 type non_punctuation_tactical =
233 | Focus of loc * int list
237 type ('term, 'lazy_term, 'reduction, 'obj, 'ident) code =
238 | Command of loc * ('term, 'obj) command
239 | NCommand of loc * ncommand
240 | Macro of loc * ('term,'lazy_term) macro
241 | NTactic of loc * ntactic list
242 | Tactic of loc * ('term, 'lazy_term, 'reduction, 'ident) tactic option
243 * punctuation_tactical
244 | NonPunctuationTactical of loc * non_punctuation_tactical
245 * punctuation_tactical
247 type ('term, 'lazy_term, 'reduction, 'obj, 'ident) comment =
248 | Note of loc * string
249 | Code of loc * ('term, 'lazy_term, 'reduction, 'obj, 'ident) code
251 type ('term, 'lazy_term, 'reduction, 'obj, 'ident) statement =
252 | Executable of loc * ('term, 'lazy_term, 'reduction, 'obj, 'ident) code
253 | Comment of loc * ('term, 'lazy_term, 'reduction, 'obj, 'ident) comment