eric6/ThirdParty/Pygments/pygments/lexers/theorem.py

changeset 6942
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1 # -*- coding: utf-8 -*-
2 """
3 pygments.lexers.theorem
4 ~~~~~~~~~~~~~~~~~~~~~~~
5
6 Lexers for theorem-proving languages.
7
8 :copyright: Copyright 2006-2017 by the Pygments team, see AUTHORS.
9 :license: BSD, see LICENSE for details.
10 """
11
12 import re
13
14 from pygments.lexer import RegexLexer, default, words
15 from pygments.token import Text, Comment, Operator, Keyword, Name, String, \
16 Number, Punctuation, Generic
17
18 __all__ = ['CoqLexer', 'IsabelleLexer', 'LeanLexer']
19
20
21 class CoqLexer(RegexLexer):
22 """
23 For the `Coq <http://coq.inria.fr/>`_ theorem prover.
24
25 .. versionadded:: 1.5
26 """
27
28 name = 'Coq'
29 aliases = ['coq']
30 filenames = ['*.v']
31 mimetypes = ['text/x-coq']
32
33 keywords1 = (
34 # Vernacular commands
35 'Section', 'Module', 'End', 'Require', 'Import', 'Export', 'Variable',
36 'Variables', 'Parameter', 'Parameters', 'Axiom', 'Hypothesis',
37 'Hypotheses', 'Notation', 'Local', 'Tactic', 'Reserved', 'Scope',
38 'Open', 'Close', 'Bind', 'Delimit', 'Definition', 'Let', 'Ltac',
39 'Fixpoint', 'CoFixpoint', 'Morphism', 'Relation', 'Implicit',
40 'Arguments', 'Set', 'Unset', 'Contextual', 'Strict', 'Prenex',
41 'Implicits', 'Inductive', 'CoInductive', 'Record', 'Structure',
42 'Canonical', 'Coercion', 'Theorem', 'Lemma', 'Corollary',
43 'Proposition', 'Fact', 'Remark', 'Example', 'Proof', 'Goal', 'Save',
44 'Qed', 'Defined', 'Hint', 'Resolve', 'Rewrite', 'View', 'Search',
45 'Show', 'Print', 'Printing', 'All', 'Graph', 'Projections', 'inside',
46 'outside', 'Check', 'Global', 'Instance', 'Class', 'Existing',
47 'Universe', 'Polymorphic', 'Monomorphic', 'Context'
48 )
49 keywords2 = (
50 # Gallina
51 'forall', 'exists', 'exists2', 'fun', 'fix', 'cofix', 'struct',
52 'match', 'end', 'in', 'return', 'let', 'if', 'is', 'then', 'else',
53 'for', 'of', 'nosimpl', 'with', 'as',
54 )
55 keywords3 = (
56 # Sorts
57 'Type', 'Prop',
58 )
59 keywords4 = (
60 # Tactics
61 'pose', 'set', 'move', 'case', 'elim', 'apply', 'clear', 'hnf', 'intro',
62 'intros', 'generalize', 'rename', 'pattern', 'after', 'destruct',
63 'induction', 'using', 'refine', 'inversion', 'injection', 'rewrite',
64 'congr', 'unlock', 'compute', 'ring', 'field', 'replace', 'fold',
65 'unfold', 'change', 'cutrewrite', 'simpl', 'have', 'suff', 'wlog',
66 'suffices', 'without', 'loss', 'nat_norm', 'assert', 'cut', 'trivial',
67 'revert', 'bool_congr', 'nat_congr', 'symmetry', 'transitivity', 'auto',
68 'split', 'left', 'right', 'autorewrite', 'tauto', 'setoid_rewrite',
69 'intuition', 'eauto', 'eapply', 'econstructor', 'etransitivity',
70 'constructor', 'erewrite', 'red', 'cbv', 'lazy', 'vm_compute',
71 'native_compute', 'subst',
72 )
73 keywords5 = (
74 # Terminators
75 'by', 'done', 'exact', 'reflexivity', 'tauto', 'romega', 'omega',
76 'assumption', 'solve', 'contradiction', 'discriminate',
77 'congruence',
78 )
79 keywords6 = (
80 # Control
81 'do', 'last', 'first', 'try', 'idtac', 'repeat',
82 )
83 # 'as', 'assert', 'begin', 'class', 'constraint', 'do', 'done',
84 # 'downto', 'else', 'end', 'exception', 'external', 'false',
85 # 'for', 'fun', 'function', 'functor', 'if', 'in', 'include',
86 # 'inherit', 'initializer', 'lazy', 'let', 'match', 'method',
87 # 'module', 'mutable', 'new', 'object', 'of', 'open', 'private',
88 # 'raise', 'rec', 'sig', 'struct', 'then', 'to', 'true', 'try',
89 # 'type', 'val', 'virtual', 'when', 'while', 'with'
90 keyopts = (
91 '!=', '#', '&', '&&', r'\(', r'\)', r'\*', r'\+', ',', '-', r'-\.',
92 '->', r'\.', r'\.\.', ':', '::', ':=', ':>', ';', ';;', '<', '<-',
93 '<->', '=', '>', '>]', r'>\}', r'\?', r'\?\?', r'\[', r'\[<', r'\[>',
94 r'\[\|', ']', '_', '`', r'\{', r'\{<', r'\|', r'\|]', r'\}', '~', '=>',
95 r'/\\', r'\\/', r'\{\|', r'\|\}',
96 u'Π', u'λ',
97 )
98 operators = r'[!$%&*+\./:<=>?@^|~-]'
99 prefix_syms = r'[!?~]'
100 infix_syms = r'[=<>@^|&+\*/$%-]'
101 primitives = ('unit', 'nat', 'bool', 'string', 'ascii', 'list')
102
103 tokens = {
104 'root': [
105 (r'\s+', Text),
106 (r'false|true|\(\)|\[\]', Name.Builtin.Pseudo),
107 (r'\(\*', Comment, 'comment'),
108 (words(keywords1, prefix=r'\b', suffix=r'\b'), Keyword.Namespace),
109 (words(keywords2, prefix=r'\b', suffix=r'\b'), Keyword),
110 (words(keywords3, prefix=r'\b', suffix=r'\b'), Keyword.Type),
111 (words(keywords4, prefix=r'\b', suffix=r'\b'), Keyword),
112 (words(keywords5, prefix=r'\b', suffix=r'\b'), Keyword.Pseudo),
113 (words(keywords6, prefix=r'\b', suffix=r'\b'), Keyword.Reserved),
114 # (r'\b([A-Z][\w\']*)(\.)', Name.Namespace, 'dotted'),
115 (r'\b([A-Z][\w\']*)', Name),
116 (r'(%s)' % '|'.join(keyopts[::-1]), Operator),
117 (r'(%s|%s)?%s' % (infix_syms, prefix_syms, operators), Operator),
118 (r'\b(%s)\b' % '|'.join(primitives), Keyword.Type),
119
120 (r"[^\W\d][\w']*", Name),
121
122 (r'\d[\d_]*', Number.Integer),
123 (r'0[xX][\da-fA-F][\da-fA-F_]*', Number.Hex),
124 (r'0[oO][0-7][0-7_]*', Number.Oct),
125 (r'0[bB][01][01_]*', Number.Bin),
126 (r'-?\d[\d_]*(.[\d_]*)?([eE][+\-]?\d[\d_]*)', Number.Float),
127
128 (r"'(?:(\\[\\\"'ntbr ])|(\\[0-9]{3})|(\\x[0-9a-fA-F]{2}))'",
129 String.Char),
130 (r"'.'", String.Char),
131 (r"'", Keyword), # a stray quote is another syntax element
132
133 (r'"', String.Double, 'string'),
134
135 (r'[~?][a-z][\w\']*:', Name),
136 ],
137 'comment': [
138 (r'[^(*)]+', Comment),
139 (r'\(\*', Comment, '#push'),
140 (r'\*\)', Comment, '#pop'),
141 (r'[(*)]', Comment),
142 ],
143 'string': [
144 (r'[^"]+', String.Double),
145 (r'""', String.Double),
146 (r'"', String.Double, '#pop'),
147 ],
148 'dotted': [
149 (r'\s+', Text),
150 (r'\.', Punctuation),
151 (r'[A-Z][\w\']*(?=\s*\.)', Name.Namespace),
152 (r'[A-Z][\w\']*', Name.Class, '#pop'),
153 (r'[a-z][a-z0-9_\']*', Name, '#pop'),
154 default('#pop')
155 ],
156 }
157
158 def analyse_text(text):
159 if text.startswith('(*'):
160 return True
161
162
163 class IsabelleLexer(RegexLexer):
164 """
165 For the `Isabelle <http://isabelle.in.tum.de/>`_ proof assistant.
166
167 .. versionadded:: 2.0
168 """
169
170 name = 'Isabelle'
171 aliases = ['isabelle']
172 filenames = ['*.thy']
173 mimetypes = ['text/x-isabelle']
174
175 keyword_minor = (
176 'and', 'assumes', 'attach', 'avoids', 'binder', 'checking',
177 'class_instance', 'class_relation', 'code_module', 'congs',
178 'constant', 'constrains', 'datatypes', 'defines', 'file', 'fixes',
179 'for', 'functions', 'hints', 'identifier', 'if', 'imports', 'in',
180 'includes', 'infix', 'infixl', 'infixr', 'is', 'keywords', 'lazy',
181 'module_name', 'monos', 'morphisms', 'no_discs_sels', 'notes',
182 'obtains', 'open', 'output', 'overloaded', 'parametric', 'permissive',
183 'pervasive', 'rep_compat', 'shows', 'structure', 'type_class',
184 'type_constructor', 'unchecked', 'unsafe', 'where',
185 )
186
187 keyword_diag = (
188 'ML_command', 'ML_val', 'class_deps', 'code_deps', 'code_thms',
189 'display_drafts', 'find_consts', 'find_theorems', 'find_unused_assms',
190 'full_prf', 'help', 'locale_deps', 'nitpick', 'pr', 'prf',
191 'print_abbrevs', 'print_antiquotations', 'print_attributes',
192 'print_binds', 'print_bnfs', 'print_bundles',
193 'print_case_translations', 'print_cases', 'print_claset',
194 'print_classes', 'print_codeproc', 'print_codesetup',
195 'print_coercions', 'print_commands', 'print_context',
196 'print_defn_rules', 'print_dependencies', 'print_facts',
197 'print_induct_rules', 'print_inductives', 'print_interps',
198 'print_locale', 'print_locales', 'print_methods', 'print_options',
199 'print_orders', 'print_quot_maps', 'print_quotconsts',
200 'print_quotients', 'print_quotientsQ3', 'print_quotmapsQ3',
201 'print_rules', 'print_simpset', 'print_state', 'print_statement',
202 'print_syntax', 'print_theorems', 'print_theory', 'print_trans_rules',
203 'prop', 'pwd', 'quickcheck', 'refute', 'sledgehammer', 'smt_status',
204 'solve_direct', 'spark_status', 'term', 'thm', 'thm_deps', 'thy_deps',
205 'try', 'try0', 'typ', 'unused_thms', 'value', 'values', 'welcome',
206 'print_ML_antiquotations', 'print_term_bindings', 'values_prolog',
207 )
208
209 keyword_thy = ('theory', 'begin', 'end')
210
211 keyword_section = ('header', 'chapter')
212
213 keyword_subsection = (
214 'section', 'subsection', 'subsubsection', 'sect', 'subsect',
215 'subsubsect',
216 )
217
218 keyword_theory_decl = (
219 'ML', 'ML_file', 'abbreviation', 'adhoc_overloading', 'arities',
220 'atom_decl', 'attribute_setup', 'axiomatization', 'bundle',
221 'case_of_simps', 'class', 'classes', 'classrel', 'codatatype',
222 'code_abort', 'code_class', 'code_const', 'code_datatype',
223 'code_identifier', 'code_include', 'code_instance', 'code_modulename',
224 'code_monad', 'code_printing', 'code_reflect', 'code_reserved',
225 'code_type', 'coinductive', 'coinductive_set', 'consts', 'context',
226 'datatype', 'datatype_new', 'datatype_new_compat', 'declaration',
227 'declare', 'default_sort', 'defer_recdef', 'definition', 'defs',
228 'domain', 'domain_isomorphism', 'domaindef', 'equivariance',
229 'export_code', 'extract', 'extract_type', 'fixrec', 'fun',
230 'fun_cases', 'hide_class', 'hide_const', 'hide_fact', 'hide_type',
231 'import_const_map', 'import_file', 'import_tptp', 'import_type_map',
232 'inductive', 'inductive_set', 'instantiation', 'judgment', 'lemmas',
233 'lifting_forget', 'lifting_update', 'local_setup', 'locale',
234 'method_setup', 'nitpick_params', 'no_adhoc_overloading',
235 'no_notation', 'no_syntax', 'no_translations', 'no_type_notation',
236 'nominal_datatype', 'nonterminal', 'notation', 'notepad', 'oracle',
237 'overloading', 'parse_ast_translation', 'parse_translation',
238 'partial_function', 'primcorec', 'primrec', 'primrec_new',
239 'print_ast_translation', 'print_translation', 'quickcheck_generator',
240 'quickcheck_params', 'realizability', 'realizers', 'recdef', 'record',
241 'refute_params', 'setup', 'setup_lifting', 'simproc_setup',
242 'simps_of_case', 'sledgehammer_params', 'spark_end', 'spark_open',
243 'spark_open_siv', 'spark_open_vcg', 'spark_proof_functions',
244 'spark_types', 'statespace', 'syntax', 'syntax_declaration', 'text',
245 'text_raw', 'theorems', 'translations', 'type_notation',
246 'type_synonym', 'typed_print_translation', 'typedecl', 'hoarestate',
247 'install_C_file', 'install_C_types', 'wpc_setup', 'c_defs', 'c_types',
248 'memsafe', 'SML_export', 'SML_file', 'SML_import', 'approximate',
249 'bnf_axiomatization', 'cartouche', 'datatype_compat',
250 'free_constructors', 'functor', 'nominal_function',
251 'nominal_termination', 'permanent_interpretation',
252 'binds', 'defining', 'smt2_status', 'term_cartouche',
253 'boogie_file', 'text_cartouche',
254 )
255
256 keyword_theory_script = ('inductive_cases', 'inductive_simps')
257
258 keyword_theory_goal = (
259 'ax_specification', 'bnf', 'code_pred', 'corollary', 'cpodef',
260 'crunch', 'crunch_ignore',
261 'enriched_type', 'function', 'instance', 'interpretation', 'lemma',
262 'lift_definition', 'nominal_inductive', 'nominal_inductive2',
263 'nominal_primrec', 'pcpodef', 'primcorecursive',
264 'quotient_definition', 'quotient_type', 'recdef_tc', 'rep_datatype',
265 'schematic_corollary', 'schematic_lemma', 'schematic_theorem',
266 'spark_vc', 'specification', 'subclass', 'sublocale', 'termination',
267 'theorem', 'typedef', 'wrap_free_constructors',
268 )
269
270 keyword_qed = ('by', 'done', 'qed')
271 keyword_abandon_proof = ('sorry', 'oops')
272
273 keyword_proof_goal = ('have', 'hence', 'interpret')
274
275 keyword_proof_block = ('next', 'proof')
276
277 keyword_proof_chain = (
278 'finally', 'from', 'then', 'ultimately', 'with',
279 )
280
281 keyword_proof_decl = (
282 'ML_prf', 'also', 'include', 'including', 'let', 'moreover', 'note',
283 'txt', 'txt_raw', 'unfolding', 'using', 'write',
284 )
285
286 keyword_proof_asm = ('assume', 'case', 'def', 'fix', 'presume')
287
288 keyword_proof_asm_goal = ('guess', 'obtain', 'show', 'thus')
289
290 keyword_proof_script = (
291 'apply', 'apply_end', 'apply_trace', 'back', 'defer', 'prefer',
292 )
293
294 operators = (
295 '::', ':', '(', ')', '[', ']', '_', '=', ',', '|',
296 '+', '-', '!', '?',
297 )
298
299 proof_operators = ('{', '}', '.', '..')
300
301 tokens = {
302 'root': [
303 (r'\s+', Text),
304 (r'\(\*', Comment, 'comment'),
305 (r'\{\*', Comment, 'text'),
306
307 (words(operators), Operator),
308 (words(proof_operators), Operator.Word),
309
310 (words(keyword_minor, prefix=r'\b', suffix=r'\b'), Keyword.Pseudo),
311
312 (words(keyword_diag, prefix=r'\b', suffix=r'\b'), Keyword.Type),
313
314 (words(keyword_thy, prefix=r'\b', suffix=r'\b'), Keyword),
315 (words(keyword_theory_decl, prefix=r'\b', suffix=r'\b'), Keyword),
316
317 (words(keyword_section, prefix=r'\b', suffix=r'\b'), Generic.Heading),
318 (words(keyword_subsection, prefix=r'\b', suffix=r'\b'), Generic.Subheading),
319
320 (words(keyword_theory_goal, prefix=r'\b', suffix=r'\b'), Keyword.Namespace),
321 (words(keyword_theory_script, prefix=r'\b', suffix=r'\b'), Keyword.Namespace),
322
323 (words(keyword_abandon_proof, prefix=r'\b', suffix=r'\b'), Generic.Error),
324
325 (words(keyword_qed, prefix=r'\b', suffix=r'\b'), Keyword),
326 (words(keyword_proof_goal, prefix=r'\b', suffix=r'\b'), Keyword),
327 (words(keyword_proof_block, prefix=r'\b', suffix=r'\b'), Keyword),
328 (words(keyword_proof_decl, prefix=r'\b', suffix=r'\b'), Keyword),
329
330 (words(keyword_proof_chain, prefix=r'\b', suffix=r'\b'), Keyword),
331 (words(keyword_proof_asm, prefix=r'\b', suffix=r'\b'), Keyword),
332 (words(keyword_proof_asm_goal, prefix=r'\b', suffix=r'\b'), Keyword),
333
334 (words(keyword_proof_script, prefix=r'\b', suffix=r'\b'), Keyword.Pseudo),
335
336 (r'\\<\w*>', Text.Symbol),
337
338 (r"[^\W\d][.\w']*", Name),
339 (r"\?[^\W\d][.\w']*", Name),
340 (r"'[^\W\d][.\w']*", Name.Type),
341
342 (r'\d[\d_]*', Name), # display numbers as name
343 (r'0[xX][\da-fA-F][\da-fA-F_]*', Number.Hex),
344 (r'0[oO][0-7][0-7_]*', Number.Oct),
345 (r'0[bB][01][01_]*', Number.Bin),
346
347 (r'"', String, 'string'),
348 (r'`', String.Other, 'fact'),
349 ],
350 'comment': [
351 (r'[^(*)]+', Comment),
352 (r'\(\*', Comment, '#push'),
353 (r'\*\)', Comment, '#pop'),
354 (r'[(*)]', Comment),
355 ],
356 'text': [
357 (r'[^*}]+', Comment),
358 (r'\*\}', Comment, '#pop'),
359 (r'\*', Comment),
360 (r'\}', Comment),
361 ],
362 'string': [
363 (r'[^"\\]+', String),
364 (r'\\<\w*>', String.Symbol),
365 (r'\\"', String),
366 (r'\\', String),
367 (r'"', String, '#pop'),
368 ],
369 'fact': [
370 (r'[^`\\]+', String.Other),
371 (r'\\<\w*>', String.Symbol),
372 (r'\\`', String.Other),
373 (r'\\', String.Other),
374 (r'`', String.Other, '#pop'),
375 ],
376 }
377
378
379 class LeanLexer(RegexLexer):
380 """
381 For the `Lean <https://github.com/leanprover/lean>`_
382 theorem prover.
383
384 .. versionadded:: 2.0
385 """
386 name = 'Lean'
387 aliases = ['lean']
388 filenames = ['*.lean']
389 mimetypes = ['text/x-lean']
390
391 flags = re.MULTILINE | re.UNICODE
392
393 keywords1 = (
394 'import', 'abbreviation', 'opaque_hint', 'tactic_hint', 'definition',
395 'renaming', 'inline', 'hiding', 'exposing', 'parameter', 'parameters',
396 'conjecture', 'hypothesis', 'lemma', 'corollary', 'variable', 'variables',
397 'theorem', 'axiom', 'inductive', 'structure', 'universe', 'alias',
398 'help', 'options', 'precedence', 'postfix', 'prefix', 'calc_trans',
399 'calc_subst', 'calc_refl', 'infix', 'infixl', 'infixr', 'notation', 'eval',
400 'check', 'exit', 'coercion', 'end', 'private', 'using', 'namespace',
401 'including', 'instance', 'section', 'context', 'protected', 'expose',
402 'export', 'set_option', 'add_rewrite', 'extends', 'open', 'example',
403 'constant', 'constants', 'print', 'opaque', 'reducible', 'irreducible',
404 )
405
406 keywords2 = (
407 'forall', 'fun', 'Pi', 'obtain', 'from', 'have', 'show', 'assume',
408 'take', 'let', 'if', 'else', 'then', 'by', 'in', 'with', 'begin',
409 'proof', 'qed', 'calc', 'match',
410 )
411
412 keywords3 = (
413 # Sorts
414 'Type', 'Prop',
415 )
416
417 operators = (
418 u'!=', u'#', u'&', u'&&', u'*', u'+', u'-', u'/', u'@', u'!', u'`',
419 u'-.', u'->', u'.', u'..', u'...', u'::', u':>', u';', u';;', u'<',
420 u'<-', u'=', u'==', u'>', u'_', u'|', u'||', u'~', u'=>', u'<=', u'>=',
421 u'/\\', u'\\/', u'∀', u'Π', u'λ', u'↔', u'∧', u'∨', u'≠', u'≤', u'≥',
422 u'¬', u'⁻¹', u'⬝', u'▸', u'→', u'∃', u'ℕ', u'ℤ', u'≈', u'×', u'⌞',
423 u'⌟', u'≡', u'⟨', u'⟩',
424 )
425
426 punctuation = (u'(', u')', u':', u'{', u'}', u'[', u']', u'⦃', u'⦄',
427 u':=', u',')
428
429 tokens = {
430 'root': [
431 (r'\s+', Text),
432 (r'/-', Comment, 'comment'),
433 (r'--.*?$', Comment.Single),
434 (words(keywords1, prefix=r'\b', suffix=r'\b'), Keyword.Namespace),
435 (words(keywords2, prefix=r'\b', suffix=r'\b'), Keyword),
436 (words(keywords3, prefix=r'\b', suffix=r'\b'), Keyword.Type),
437 (words(operators), Name.Builtin.Pseudo),
438 (words(punctuation), Operator),
439 (u"[A-Za-z_\u03b1-\u03ba\u03bc-\u03fb\u1f00-\u1ffe\u2100-\u214f]"
440 u"[A-Za-z_'\u03b1-\u03ba\u03bc-\u03fb\u1f00-\u1ffe\u2070-\u2079"
441 u"\u207f-\u2089\u2090-\u209c\u2100-\u214f0-9]*", Name),
442 (r'\d+', Number.Integer),
443 (r'"', String.Double, 'string'),
444 (r'[~?][a-z][\w\']*:', Name.Variable)
445 ],
446 'comment': [
447 # Multiline Comments
448 (r'[^/-]', Comment.Multiline),
449 (r'/-', Comment.Multiline, '#push'),
450 (r'-/', Comment.Multiline, '#pop'),
451 (r'[/-]', Comment.Multiline)
452 ],
453 'string': [
454 (r'[^\\"]+', String.Double),
455 (r'\\[n"\\]', String.Escape),
456 ('"', String.Double, '#pop'),
457 ],
458 }

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