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Bertot Y., Castéran P. — Interactive Theorem Proving and Program Development: Coq'ArtiThe Calculus of Inductive Constructions |
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Предметный указатель |
Certified programs, bdiv 409
Certified programs, Dict_Plus.addlist 340
Certified programs, Dict_Plus.build 340
Certified programs, div 417
Certified programs, div2_gen 255
Certified programs, div_bin2 281
Certified programs, div_bin3 282
Certified programs, div_F 416
Certified programs, div_it_terminates 422
Certified programs, eq_positive_dec 290
Certified programs, insert 320
Certified programs, le_rich_minus 395
Certified programs, list2tree 321
Certified programs, list2tree_aux 321
Certified programs, LKey.eqdec 333
Certified programs, log_domain_inv 429
Certified programs, More_Dec_Orders.le_lt_dec 336
Certified programs, naive_occ_dec 311
Certified programs, Nat_Order.le_eq_lt_dec 338
Certified programs, nested_F 419
Certified programs, occ_dec 317
Certified programs, PairKey.eqdec 333
Certified programs, pred_strong 260
Certified programs, pred_strong2 261
Certified programs, pred_strong2’ 261
Certified programs, pred_strong2” 266
Certified programs, pred’ 257
Certified programs, rmax 322
Certified programs, stronger_prime_test 264
Certified programs, TDict.add 344
Certified programs, TDict.empty 344
Certified programs, TDict.find 344
Certified programs, TrivialDict.add 341
Certified programs, TrivialDict.empty 341
Certified programs, TrivialDict.find 341
Certified programs, Zgt_bool’ 303
Concepts, 9
Concepts, Abstractions 25
Concepts, Alpha-conversion 28
Concepts, Axioms 46
Concepts, Bisimilarity 348 368
Concepts, Bisimulations 371
Concepts, Commands 13
Concepts, Comments 11
Concepts, Confluence 36
Concepts, Conjunction 219
Concepts, Constructors 138 142 153 167 171 187 214 350 379
Concepts, Contexts 19
Concepts, Convertibility order 39
Concepts, Curry-Howard isomorphism 44 82 211 390
Concepts, Delimiting keys 15
Concepts, Dependent product 73 105 137 211
Concepts, Dependent types 75 76 92
Concepts, Disjunction 219
Concepts, Environments 14 19
Concepts, Equality 98
Concepts, Equality, Heterogeneous equality 220
Concepts, Existential quantification 219
Concepts, Existential variables 111
Concepts, Expressions 14
Concepts, False elimination rule 97
Concepts, Fields 199
Concepts, Final type 53 108 141 191 245 379
Concepts, Functors 332
Concepts, Goals 46 47
Concepts, Groups 381
Concepts, Head types 53 108
Concepts, Higher-order functions 166
Concepts, Higher-order types 78
Concepts, Hypotheses 45
Concepts, Impredicative definitions 130
Concepts, Impredicativity 96
Concepts, Induction principle 382 388 392 404
Concepts, Instances 34
Concepts, Interpretation scopes 14 180
Concepts, Jokers 26 86
Concepts, Lemmas 46
Concepts, Linear inequalities 198 200
Concepts, Mathematical structures 156
Concepts, Minimal specification strengthening 261 303
Concepts, Module types (signatures) 326
Concepts, Modules 325
Concepts, Modules, parametric 332
Concepts, Normal forms 33
Concepts, Opacity 59
Concepts, Park principle 371
Concepts, Pattern matching 182
Concepts, Pattern matching, dependent 182 387 388
Concepts, Pattern matching, simultaneous 178
Concepts, Positivity (strict) 379
Concepts, Predicates 76 92
Concepts, Predicativity 96
Concepts, Principal premises 384
Concepts, Product typing triplets 92
Concepts, Programs 37
Concepts, Proof irrelevance 45 211 253 392
Concepts, Proof terms 45
Concepts, Propositions 45
Concepts, Quotient structures 156
Concepts, Realizations 41
Concepts, Recursion, principal argument 165
Concepts, Recursion, structural 165 266
Concepts, Recursion, well-founded 293 302 411
Concepts, Recursors 294 385 388 390 394 414
Concepts, Reduction sequences 36
Concepts, Rings 196
Concepts, Sections 19 30
Concepts, Signatures 326
Concepts, Simply typed -calculus 17
Concepts, Sorts 37
Concepts, Specifications 37
Concepts, Strong normalization 36
Concepts, Subgoals 46
Concepts, Subset types 252
Concepts, Substitutions 34
Concepts, Tacticals 61
Concepts, Tactics 3 41 46
Concepts, Tautologies 200
Concepts, Terms 14
Concepts, Theorems 46
Concepts, Transparency 59
Concepts, Type inference 26
Concepts, Type() 38 40 45
Concepts, Types 14
Concepts, Types, inhabited types 20
Concepts, Typing judgments 20
Concepts, Universes 38
Concepts, Vernacular 9 13
Concepts, Well-founded relations 236 411
Function definitions, 28
Function definitions, abscissa 145
Function definitions, absolute_fun 41
Function definitions, Acc_iter 294 399
Function definitions, ackermann 95
Function definitions, always_0 41
Function definitions, app 289
Function definitions, bad_get_prime 262
Function definitions, bdiv_aux 408
Function definitions, binary_word_duplicate 86
Function definitions, binomial 30 31
Function definitions, bin_A 443
Function definitions, bin_nat 440
Function definitions, bin_to_string 217
Function definitions, bin_to_string’ 217
Function definitions, check_primality 436
Function definitions, check_primality’ 436
Function definitions, check_range 436
Function definitions, check_range’ 436
Function definitions, compose 87 89
Function definitions, count 400
| Function definitions, cube 29
Function definitions, depth 380
Function definitions, div2 267 294
Function definitions, div2’ 271
Function definitions, div2’_aux 271
Function definitions, divp_pair’ 253
Function definitions, div_bin 277
Function definitions, div_it 424
Function definitions, div_it_F 421
Function definitions, example_dep_function 387
Function definitions, extract_option 431
Function definitions, flatten 439
Function definitions, flatten_aux 439
Function definitions, fright_son 170
Function definitions, from 352
Function definitions, from_marignan 41
Function definitions, fsum_all_values 171
Function definitions, general_omega 355
Function definitions, get_prime 264
Function definitions, htree_to_btree 182
Function definitions, insert_bin 446
Function definitions, insert_loop 305
Function definitions, insert_loop’ 306
Function definitions, invert 183
Function definitions, iter 421
Function definitions, iterate 166
Function definitions, LAppend 354
Function definitions, LHead 351
Function definitions, list_to_vector 222
Function definitions, LList_decompose 358
Function definitions, LNth 351
Function definitions, log 429
Function definitions, log2 294 429
Function definitions, log2_aux 294
Function definitions, log2_aux_F 294
Function definitions, loopl’ 303
Function definitions, LTail 351
Function definitions, max 425
Function definitions, month_length 142
Function definitions, mult2 164
Function definitions, mult2’ 174 390
Function definitions, my_expo 95
Function definitions, my_mult 95
Function definitions, my_plus 95
Function definitions, nat_le_bool 445
Function definitions, nat_rec 389
Function definitions, nat_simple_rec 386
Function definitions, nb_seats 147
Function definitions, nb_wheels 147
Function definitions, next_month 151
Function definitions, nth_option 178
Function definitions, nth’ 289
Function definitions, n_sum_all_values 171
Function definitions, n_sum_values 402
Function definitions, omega 355
Function definitions, opaque_f 115
Function definitions, or_to_nat 296
Function definitions, parse 232
Function definitions, plus 165
Function definitions, plus9 30
Function definitions, plus’ 271
Function definitions, plus” 274
Function definitions, pred2 292
Function definitions, pred2_option 178
Function definitions, pred_option 178
Function definitions, pred_partial 258
Function definitions, pred_partial_2 260
Function definitions, pred_partial_2’ 265
Function definitions, pred_partial’ 265
Function definitions, pred’ 292
Function definitions, projl’ 100
Function definitions, Psucc 169 287
Function definitions, recognize 231
Function definitions, repeat 354
Function definitions, right_son 170
Function definitions, short_concat 90
Function definitions, sort_bin 446
Function definitions, square 197
Function definitions, Squares_from 352
Function definitions, sum_all_values 168
Function definitions, sum_n 174
Function definitions, thrice 89
Function definitions, to_marignan 41
Function definitions, trinomial 30 31
Function definitions, twice 85
Function definitions, two_power 430
Function definitions, t_delta 380
Function definitions, t_omega 380
Function definitions, update 397
Function definitions, vector_to_list 222
Function definitions, Zdist2 40
Function definitions, zero_present 168
Function definitions, Zsqr 34
Function definitions, Zsquare_diff 116
Function definitions, Z_btree_rec 391
Function definitions, Z_thrice 30
Libraries, Arith 20
Libraries, ArithRing 196
Libraries, Arrays 304
Libraries, Bool 20
Libraries, Bvector 222 223
Libraries, Classical 124 415
Libraries, JMeq 220 222-224
Libraries, List 77 102 175 222 377
Libraries, Omega 198
Libraries, Relations 132 212 369 415
Libraries, Streams 348
Libraries, Wellfounded 303 413
Libraries, Wf_nat 412 415
Libraries, ZArith 16 20 438
Libraries, ZArithRing 125 196
Libraries, Zwf 236
Modules and signatures, BoolKey 334
Modules and signatures, BoolKeys 334
Modules and signatures, DATA 340
Modules and signatures, DEC ORDER 335
Modules and signatures, DICT 339
Modules and signatures, DICT PLUS 328
Modules and signatures, Dictl 342
Modules and signatures, DictlPlus 342
Modules and signatures, Dict_Plus 340
Modules and signatures, KEY 329
Modules and signatures, Lexico 338
Modules and signatures, List_Order 339
Modules and signatures, LKey 333
Modules and signatures, LLZKey 333
Modules and signatures, LZKey 333
Modules and signatures, MOREDECORDERS 336
Modules and signatures, MoreNatNat 339
Modules and signatures, More_Dec_Orders 336
Modules and signatures, NatKey 332
Modules and signatures, NatNat 339
Modules and signatures, Nats 342
Modules and signatures, Nat_Order 338
Modules and signatures, PairKey 334
Modules and signatures, TDict 343
Modules and signatures, TrivialDict 341
Modules and signatures, ZKey 329
Modules and signatures, ZZKey 334
Plain definitions, bisimulation 371
Plain definitions, BoolKey.A 334
Plain definitions, classic 123
Plain definitions, deadlock 375
Plain definitions, de_morgan_not_and_not 123
Plain definitions, Dict_Plus.data 340
Plain definitions, Dict_Plus.dict 340
Plain definitions, Dict_Plus.key 340
Plain definitions, divides 203
Plain definitions, div_type 416
Plain definitions, div_type’ 416
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