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Hopcroft J.E., Ullman J.D. — Introduction to automata theory, languages, and computation
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Íàçâàíèå: Introduction to automata theory, languages, and computation
Àâòîðû: Hopcroft J.E., Ullman J.D.
Àííîòàöèÿ: It has been more than 20 years since this classic book on formal languages, automata theory, and computational complexity was first published. With this long-awaited revision, the authors continue to present the theory in a concise and straightforward manner, now with an eye out for the practical applications. They have revised this book to make it more accessible to today's students, including the addition of more material on writing proofs, more figures and pictures to convey ideas, side-boxes to highlight other interesting material, and a less formal writing style. Exercises at the end of each chapter, including some new, easier exercises, help readers confirm and enhance their understanding of the material.
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Ãîä èçäàíèÿ: 1979
Êîëè÷åñòâî ñòðàíèö: 426
Äîáàâëåíà â êàòàëîã: 15.12.2013
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Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
Ïðåäìåòíûé óêàçàòåëü
Many-one reduction 212
MAX 72 142 244—245 281
McCarthy, J. 54
McCreight, E. M. 319
McCulloch, W. S. 54
McNaughton, R. 54 76
Mealy machine 42—45
Mealy, G. H. 54
Membership problem 139—141 281
Metalinear language 143
Meyer, A. R. 124 176 319 375—376
Millen, J. K. 54
Miller, G. L. 232 375
MIN. 72 142 244—245 279 281
Minimization of finite automata 67—71
Minsky, M. L. 54 76 176 216
Modified PCP 195—196
Monma, C. L. 374
Moore machine 42—45
Moore, E. F. 54 76 284
Morris. J. H.. Jr 54
Move 149
Multidimensional Turing machine 164—165
Multihead Turing machine 165
Multitape Turing machine 161—163
My hill, J. 76 232
Myhill — Nerode theorem 65—67
Naur. P. 106
Nerode, A. 76 (see also Myhill — Nerode theorem)
Neuron net 47
Next move function 148
NFA see Nondeterministic finite automaton
Node see Vertex
Nondeterministic finite automaton 19—33
Nondeterministic space complexity 288 300—305
Nondeterministic space hierarchy 304—305
Nondeterministic time complexity 288 300 354—362
Nondeterministic time hierarchy 306
Nondeterministic Turing machine 163—164 288
Nonerasing stack automaton 382 385—387 393
Nonterminal see Variable
Normal form PDA 234
NP-complete problem 324—343
NP-hard problem 324
NSPACE see Nondeterministic space complexity
NTime see Nondeterministic time complexity
Number theory 354 371
Oettinger, A. G. 123
Off-line Turing machine 166 174 285—286
Ogden, W. 145 394
Ogden’s lemma 129—130
One-way stack automaton 382 389 393
Operator grammar 105
Oppen. D. C. 375
Oracle 209—213 362—365 371
Output alphabet 42—43 272
Output tape 167
P-complete problem 347—349
Pair generator 169
Palindrome 2 11—12 105
Papadimitriou, C. H. 374
Papert, S. 76
Parikh. R. J. 145
Parse tree see Derivation tree
Parser 9 268
Partial recursive function 151
Partial solution to PCP 197
Partition problem 341
Paul, W. J. 319
Pauli, M. C. 106
PCP see Post's correspondence problem
PDA see Pushdown automaton
Perfect squares 57
Perles. M. 76 145 216
Phrase structure grammar see Type 0 grammar
Pippenger, N. 319
Pitts, W. 54
Polynomial time reduction 322
pop 235 382
Porter. J. H. 46 54
Positive closure 28 230—231 278 280
Post tag system 213
Post's correspondence problem 193—201
Post, E. 176 216
Power set 5
Pratt. V. R. 54 375—376
Predecessor 2
Predicting machine 240—243
Prefix 1
prefix property 121 260
Prenex normal form 355
Presberger arithmetic 354 371
PRIMES 57—58 342—343
Primitive recursive function 175
Principal AFL 283
Problem 177
Production 77—79
Proper prefix/suffix, I Proper subtraction 151
Property, of languages 188
PSPACE 321
PSPACE-complete problem 324 343—347
PSPACE-hard problem 324
Pumping lemma 55—58 72 125—128 143 394-395
push 235 381
Pushdown automaton 9 107—124 264
Pushdown transducer 124
Quantified boolean formula 343—346
Quotient 62—63 142 244 276—277 280 392
Rabin, M. O. 54 319 375
Rackoff, C. 375
RAM see Random access machine
Random access machine 166—167
RANGE 6
Reachability problem 349—350
Reals with addition 354—362
Reckhow, R. A. 176
Recursion theorem 208
Recursive function 175 207—209
Recursive language 151 169—170 179 181 210 227—228 270-271
Recursively enumerable language 150 168—169 180—192 210 228 230 270
Reduction 321—324 212—213
Reedy, A. 216
Refinement, of an equivalence relation 65
Reflexive and transitive closure 8
Reflexivity 7
Regular expression 9 28—35 51 350—353 370
Regular grammar 217—220
Regular set 18 55—76 142 189 203 205 218 228 246 270—271 277—278 280-281
Relation 6—8
Reversal 71—72 142 281
Rice, H. G. 106 145 216
Rice’s theorem 185—192
Right sentential form 249
Right-linear grammar see Regular grammar
Right-matching 39
Rightmost derivation 87
Ritchie, R. W. 319
Rogers, H., Jr 176
Root 3
Rose, G. F. 76 124 145 216 284
Rosenberg, A. L. 124 176
Rosenkrantz, D. J. 106 216 269 374—376 395
Ross, D. T. 46 54
Rozenberg, G. 395
Ruby, S. 319
Ruzzo, W. L. 145
Sa see Stack automaton
Sahni, S. 375
Salomaa, A. 106 395
Satisfiability problem 325—331 370
Savitch's theorem 301—302
Savitch, W. J. 216 319 375
Scattered-context grammar/language 282—283
Schaefer, T. J. 374 376
Scheduling problem 367
Scheinberg, S. 145
Schutzenberger, M. P. 106 123 216 267
Scott, D. 54
Seiferas. J. L 76 176 319
Self-embedding grammar 229
Selman, A. 376
Semi — Thue system see Type 0 grammar
Semilinear set 72
Sentential form 81 143 389 395
Set 5—6
Set former 5
Sethi, R. 374—375
Shamir, E. 76 145 216
Shank, H. 145
Shannon switching game 370 372—374
Shannon, C. E. 54 176
Shepherdson, J. C. 54
Shifting over symbols 156—157
Shuffle 142
Sieveking, M. 374
Simple grammar 229
Simulation 364
Singletary, W. E. 216
Singleton 192
Solovay, R. 375—376
Son 4
Space complexity 285—289 295—298 300—319 343—353 384—385 387-388 393
Space constructibility 297
Space hierarchy 297—298
Space-bounded Turing machine 285
Spanier. E. H. 76 145
Spanning-tree problem 367
Speed-up see Blum’s speed-up theorem Linear
Springsteel, F. N. 375
STACK 107 378 389
Stack alphabet 110
Stack automaton 381—389 393
Stanley, R. J. 145
Start state 148 (see also Initial state)
Start symbol 110
State 17 110 148 272 377
Stearns, R. E. 76 106 124 176 247 267 269 319 375
Steiglitz, K. 374
Stockmeyer, L. J. 375—376
Storage in finite control 153 154
Strassen, V. 375
String 1
Strong connectivity problem 370
sub 282
SUBROUTINE 157—158
Substitution 60—61 131—132 230—231 277—278 280—281 283
Successor 2
Sudborough, I. H. 375
Suffix 1
Suzuki, N. 375
Switching circuit 13 47
Symbol 1
Symmetry 7
Syntactic category see Variable
Szymanski, T. G. 374 376
Taniguchi, K. 269
Tape 17 36 148 378
Tape alphabet 173
Tape compression 288—289
Tape head 36
Tape reduction 289 292—295
Tape symbol 148
Tarjan, R. E. 319 374—375
Terminal, of a grammar 77 79 389
Text editor 46
Thompson, K. 46 54
Three-satisfiability 330—331
Time complexity 286—295 299—300 307 313 320—343 378—381 393
Time constructibility 299
Time hierarchy 295 299 303
Time-bounded Turing machine 286
Torii, K. 145
Total recursive function 151
Track, of a tape 154
Trakhtenbrot. B. A. 319
Transition diagram 16
Transition function 17 48
Transition table 383
Transitive closure see Reflexive and transitive closure
Transitivity 7
Translation lemma 302—305
Traveling salesman problem 341 368
TREE 3—4 (see also Derivation tree)
Treybig, L. B. 374
Trio 270—277 280
Truth-table reduction 214
Turing machine 9 146—176 179 181—183 193 201—204 221—223 285-319
Turing reduction 212—213
Turing, A. M. 176 216
Two-stack machine 171
Two-tape finite automaton 74
Two-tape Turing machine 292—295
Two-way finite automaton 36—42
Two-way infinite tape 159—161
Two-way nondeterministic finite automaton 51
Two-way pushdown automaton 121 124
Type 0 grammar 220—223
Ullian, J. S. 106 216
Ullman, J. D. 54 75 106 124 216 227 267—268 284 319 376 394
Uncountable set 6
Undecidable problem 178—216
union 5 28 59 131 180 230 246 265 278 280
Union theorem 310—312
Unit production 91
Universal Turing machine 181—185
Unrestricted grammar see Type 0 grammar
Useless symbol 88—89
Valiant, L. G. 145 247 269 319
Valid computation see Computation
Valid item 249
Variable, of a grammar 77 79 389
Vertex 2
Vertex cover problem 331—332
Viable prefix 249—252
Wang, H. 176
Wegbreit, B. 232
Wise, D. S. 145
Word 1
Wright, E. M. 57
Yamada, H. 54 319
Yannakakis, M. 374
Yasuhara, A. 176
Young, P. R. 176
Younger, D. H. 145 (see also CYK algorithm)
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