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Perrin D., Pin J.-E. — Infinite Words: Automata, Semigroups, Logic abd Games |
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Предметный указатель |
-monoid 448
-variety 270
-rational 15
-semigroup 92
-semigroup quotient 94
-semigroup, ordered syntactic 111
-semigroup, trivial 92
-subsemigroup 94
-monoid 448
-rational 386
-semigroup 395
-semigroup, aperiodic 411
*-variety 477
+-variety 476
Accessible 235
action 448
Adherence point 137
Admissible 36
Algebra 465
Algebra profinite 469
Alphabet 6
Alphabet, ranked 415
Aperiodic 447 474 492
Aperiodic extension 492
Arena 196
Arity of a node 10
Arity of a tree 10
ASSIGNMENT 332
Attractor 197
Automaton 16
Automaton Borel 164
Automaton Buechi 25
Automaton Buechi tree 419
Automaton Muller 35
Automaton Muller tree 421
Automaton parity 203
Automaton product 20
Automaton Rabin 39
Automaton Rabin chain 43 203
Automaton Streett 41
Automaton transition Buechi 43
Automaton transition Muller 44
Automaton tree 417
Automaton trim 27
Automaton with multiplicity 105
Automaton, -unambiguous 25
Automaton, -unambiguous 401
Automaton, Borel -unambiguous 165
Automaton, Borel deterministic 165
Automaton, closed 173
Automaton, co-complete 25
Automaton, co-deterministic 25
Automaton, complete 419
Automaton, countable 17
Automaton, deterministic 25
Automaton, finite 17
Automaton, Muller non deterministic 70
Automaton, normalized 22
Automaton, ordered 89
Automaton, reversed 20
Automaton, transition co-deterministic 20
Automaton, transition deterministic 18
Automaton, unambiguous 20
Basis for a topology 136
Bi-automaton 393
Boolean algebra 219 475
Boolean algebra, positive 219
Borel automaton 164
Borel classes of finite order 141
Borel hierarchy 141
Borel set 141
Bounded occurrence 331
Bounded synchronization delay 365
Buechi automaton 25
Buechi tree automaton 419
Cantor Normal Form 218
Cantor set 152
Cauchy sequence 138
Chain 223 224
Chain derivation 225
Chain sign 224
Chain, negative 223 224
Chain, positive 223 224
Chain, strong 261
Child 414
class 219 475
Class, -complete 219
Class, dual 142
Class, Polish 155
Class, self-dual 142
Clopen 142
Closure 137
Cofinite 477
COLOR 77
Compact 137
complete 18
Completion 139
Concatenation 7
Congruence 94
Congruence -semigroup 94
Congruence ordered semigroup 439
Congruence semigroup 438
Congruence, nuclear 94 439
Congruence, syntactic 91 111
Conjugacy 79
Constant 365
Content 17
context 90
continuous 136
Countable 134
Countable alphabet 7
Cyclic 438
D-tree 414
Degree 253
Dense 137
Derivative 252
Deterministic 18
Deterministic bottom-up 418
Deterministic top-down 418
Diagonal argument 134
Direction 414
Disjunctive normal form 334
Distinguishable 406
Divide 438
Domain 332 336 414
Ecart 183
EDGE 16
Element conjugate 129
Element, linked 79
Embedding 216
Existential 335
Expansion, strong 286
EXPONENT 442
Factor 7
Factor, left 7
Factor, proper 8
Factor, right 7
Factor, strict 8
Factorization 77
Factorization conjugate 80
Factorization Ramseyan 77
final 17 35 70
Finite component 270
Fixpoint-free 130
Formula atomic second-order 331
Formula first-order 330
Formula logically equivalent 334
Formula second-order 332
Formula, atomic 330
Free occurrence 331
| Frontier 415
Frontier, outer 415
Function, sequential 209
Function, synchronous 209
Game 188
Game Fraisse — Ehrenfeucht 357
Game of partitions 211
Game parity 202
Game rules 189
Game Wadge 207
Game, determined 189 357
Graph game 196
Grundy 211
Hausdorff 137
Height 414
Hierarchy Borel 141
Hierarchy chain 230
Hierarchy superchain 234 242
Hierarchy Wagner 250
Hierarchy, Boolean 219
Hierarchy, logical 348
Homeomorphism 136
Homeomorphism uniform 139
Ideal 443
Ideal order 436
Ideal order of an -semigroup 93
Ideal shuffle 487
Ideal, left 443
Ideal, order recognizable 88
Ideal, right 443
Ideal, T-minimal 407
Idempotent 441
Identity 467
Ill-founded 433
Image 101
Image, syntactic 111
INDEX 441
Indistinguishable 406
Initial 17 35 70
Instruction 427
Invariant shift 382
Isometry 139
Isomorphism 94 216 438
Koenig's lemma 12 181
Label of a path 17
Labeled tree 12
Language of the linear order 337
Language of the successor 337
Last appearance record 203
Leaf 415
Left linked 396
Length of a chain 224
letter 6
LIMIT 137
Linear ordering 216
Linked pair 79
Linked pair conjugate 79
Linked pair idempotent 85
Lipschitz 139
Local property 307
Local, left 493
Local, right 493
Locally 458
Locally finite 478
Locally testable 319 495
Locally trivial 458
Logic first-order 329
Logic monadic second-order 332
Logic monadic weak 334
Logic second-order 331
Logic, temporal 363
Logical symbol 329
Map, closed 137
Map, open 137
Memory extension 203 423
Metric 137
Metric subsemigroup 469
Metric, compatible 138
Metric, completely compatible 138
Minimal 447
Minimum excluded 211
Monadic second order 430
Monoid 436
Monoid, commutative 436
Monoid, free 7
Morphism -semigroup 396
Morphism monoid 437
Morphism ordered -semigroup 94
Morphism semigroup 437
Morphism semiring 437
Morphism syntactic 91
Morphism that recognizes 86
Morphism, alphabetic 16
Morphism, fiber bounded 163
Muller automaton 35
Muller tree automaton 421
Negative chain 223 224
Negative superchain 235 237
Nilpotent 474
Node of a tree 414
Node, marked 47
Open -ball 138
Orbit 384
Order 435
Order type 216
Order, dual 436
Order, lexicographic 8
Order, linear 216
Order, partial 435
Ordered -semigroup 93
Ordered -semigroup, dual 93
Ordered semigroup transition 90
Ordered semigroup, syntactic 91
Ordinal 218
Ordinal limit 218
Ordinal product 217
Ordinal successor 218
Oriented tree 10
Parity condition 201
Path 12 17 15
Path bi-infinite 386
Path, final 25 43
Path, infinite 12 17
Path, initial 25 43
Path, successful 17 25
Period 441
Play 188
Polish class 155
Polish space 140
POSITION 188
Positive boolean algebra 219 475
Positive boolean combination 476
Positive chain 223
Positive superchain 235 237
Positive, variety - 270
Positive, variety *- 476
Positive, variety +- 476
Positively locally testable 496
Prefix 7
Prefix-closed 9
Prefix-free 9
Prenex normal form 335
Preorder Wadge 215
Presburger arithmetic 377
PRODUCT 7 438
Product of -semigroups 96
Product, diagonal 170
Product, infinite 92
Product, mixed 92
Profinite 471
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