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计算机理论基础 影印版PDF|Epub|txt|kindle电子书版本网盘下载
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- Harry R.Lewis,Christos H.Papadimitriou 著
- 出版社: 北京:清华大学出版社
- ISBN:7302036233
- 出版时间:1999
- 标注页数:361页
- 文件大小:14MB
- 文件页数:373页
- 主题词:暂缺
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图书目录
Introduction1
1 Sets,Relations,and Languages5
1.1 Sets5
1.2 Relations and functions9
1.3 Special types of binary relations13
1.4 Finite and infinite sets20
1.5 Three fundamental proof techniques23
1.6 Closures and algorithms30
1.7 Alphabets and languages42
1.8 Finite representations of languages47
References52
2 Finite Automata55
2.1 Deterministic finite automata55
2.2 Nondeterministic finite automata63
2.3 Finite automata and regular expressions75
2.4 Languages that are and are not regular86
2.5 State minimization92
2.6 Algorithmic aspects of finite automata102
References110
3 Context-free Languages113
3.1 Context-free grammars113
3.2 Parse trees122
3.3 Pushdown automata130
3.4 Pushdown automata and context-free grammars136
3.5 Languages that are and are not context-free143
3.6 Algorithms for context-free grammars150
3.7 Determinism and parsing158
References175
4.1 The definition of a Turing machine179
4 Turing machines179
4.2 Computing with Turing machines194
4.3 Extensions of Turing machines200
4.4 Random access Turing machines210
4.5 Nondeterministic Turing machines221
4.6 Grammars227
4.7 Numerical functions233
References243
5 Undecidability245
5.1 The Church-Turing thesis245
5.2 Universal Turing machines247
5.3 The halting problem251
5.4 Unsolvable problems about Turing machines254
5.5 Unsolvable problems about grammars258
5.6 An unsolvable tiling problem262
5.7 Properties of recursive languages267
References272
6 Computational Complexity275
6.1 The class P275
6.2 Problems,problems...278
6.3 Boolean satisfiability288
6.4 The class NP292
References299
7 NP-completeness301
7.1 Polynomial-time reductions301
7.2 Cook's Theorem309
7.3 More NP-complete problems317
7.4 Coping with NP-completeness333
References350
Index353