Book:John E. Hopcroft/Introduction to Automata Theory, Languages, and Computation/Third Edition

From ProofWiki
Jump to navigation Jump to search

John E. HopcroftRajeev Motwani and Jeffrey D. Ullman: Introduction to Automata Theory, Languages, and Computation (3rd Edition)

Published $\text {2006}$, Addison-Wesley

ISBN 0-321-45536-3


Subject Matter


Contents

1 Automata: The Methods and the Madness
1.1 Why Study Automata Theory?
1.2 Introduction to Formal Proof
1.3 Additional Forms of Proof
1.4 Inductive Proofs
1.5 The Central Concepts of Automata Theory
1.6 Summary of Chapter 1
1.7 Gradience Problems for Chapter 1
1.8 References for Chapter 1
2 Finite Automata
2.1 An Informal Picture of Finite Automata
2.2 Deterministic Finite Automata
2.3 Nondeterministic Finite Automata
2.4 An Application: Text Search
2.5 Finite Automata With Epsilon-Transitions
2.6 Summary of Chapter 2
2.7 Gradience Problems for Chapter 2
2.8 References for Chapter 2
3 Regular Expressions and Languages
3.1 Regular Expressions
3.2 Finite Automata and Regular Expressions
3.3 Applications of Regular Expressions
3.4 Algebraic Laws for Regular Expressions
3.5 Summary of Chapter 3
3.6 Gradience Problems for Chapter 3
3.7 References for Chapter 3
4 Properties of Regular Languages
4.1 Proving Languages Not to Be Regular
4.2 Closure Properties of Regular Languages
4.3 Decision Properties of Regular Languages
4.4 Equivalence and Minimization of Automata
4.5 Summary of Chapter 4
4.6 Gradience Problems for Chapter 4
4.7 References for Chapter 4
5 Context-Free Grammars and Languages
5.1 Context-Free Grammars
5.2 Parse Trees
5.3 Applications of Context-Free Grammars
5.4 Ambiguity in Grammars and Languages
5.5 Summary of Chapter 5
5.6 Gradience Problems for Chapter 5
5.7 References for Chapter 5
6 Pushdown Automata
6.1 Definition of the Pushdown Automaton
6.2 The Languages of a PDA
6.3 Equivalence of PDA's and CFG's
6.4 Deterministic Pushdown Automata
6.5 Summary of Chapter 6
6.6 Gradience Problems for Chapter 6
6.7 References for Chapter 6
7 Properties of Context-Free Languages
7.1 Normal Forms for Context-Free Grammars
7.2 The Pumping Lemma for Context-Free Languages
7.3 Closure Properties of Context-Free Languages
7.4 Decision Properties of CFL's
7.5 Summary of Chapter 7
7.6 Gradience Problems for Chapter 7
7.7 References for Chapter 7
8 Introduction to Turing Machines
8.1 Problems That Computers Cannot Solve
8.2 The Turing Machine
8.3 Programming Techniques for Turing Machines
8.4 Extensions to the Basic Turing Machine
8.5 Restricted Turing Machines
8.6 Turing Machines and Computers
8.7 Summary of Chapter 7
8.8 Gradience Problems for Chapter 7
8.9 References for Chapter 7
9 Undecidability
9.1 A Language That Is Not Recursively Enumerable
9.2 An Undecidable Problem That Is RE
9.3 Undecidable Problems About Turing Machines
9.4 Post's Correspondence Problem
9.5 Other Undecidable Problems
9.6 Summary of Chapter 9
9.7 Gradience Problems for Chapter 9
9.8 References for Chapter 9
10 Intractable Problems
10.1 The Classes $\PP$ and $\NN\PP$
10.2 An NP-Complete Problem
10.3 A Restricted Satisfiability Problem
10.4 Additional NP-Complete Problems
10.5 Summary of Chapter 10
10.6 Gradience Problems for Chapter 10
10.7 References for Chapter 10
11 Additional Classes of Problems
11.1 Complements of Languages in $\NN \PP$
11.2 Problems Solvable in Polynomial Space
11.3 A Problem That Is Complete for $\PP \SS$
11.4 Language Classes Based on Randomization
11.5 The Complexity of Primality Testing
11.6 Summary of Chapter 11
11.7 Gradience Problems for Chapter 11
11.8 References for Chapter 11
Index


Further Editions


Also see