Introduction to Formal Languages and Automata

ISBN-10: 0763714224
ISBN-13: 9780763714222
Edition: 3rd 2001 (Revised)
Authors: Peter Linz
List price: $131.95
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Description: An Introduction to Formal Languages and Automata provides an excellent presentation of the material that is essential to an introductory theory of computation course. The text was designed to familiarize students with the foundations and principles  More...

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Book details

List price: $131.95
Edition: 3rd
Copyright year: 2001
Publisher: Jones & Bartlett Learning, LLC
Publication date: 10/23/2000
Binding: Hardcover
Pages: 410
Size: 7.75" wide x 9.50" long x 1.00" tall
Weight: 2.134
Language: English

An Introduction to Formal Languages and Automata provides an excellent presentation of the material that is essential to an introductory theory of computation course. The text was designed to familiarize students with the foundations and principles of computer science and to strengthen the students' ability to carry out formal and rigorous mathematical argument. Employing a problem-solving approach, the text provides students insight into the course material by stressing intuitive motivation and illustration of ideas through straightforward explanations and solid mathematical proofs. By emphasizing a learning through problem solving, students learn the material primarily through problem-type illustrative examples that show the motivation behind the concepts, as well as their connection to the theorems and definitions. Download the Errata for: An Introduction to Formal Languages and Automata, by Peter Linz, Third Edition, Fifth printing. October 2004 Errata.rtf (61 KBytes)

Introduction to the Theory of Computation
Mathematical Preliminaries and Notation
Sets
Functions and Relations
Graphs and Trees
Proof Techniques
Three Basic Concepts
Languages
Grammars
Automata
Some Applications
Finite Automata
Deterministic Finite Accepters
Deterministic Accepters and Transition Graphs
Languages and Dfas
Regular Languages
Nondeterministic Finite Accepters
Definition of a Nondeterministic Accepter
Why Nondeterminism?
Equivalence of Deterministic and Nondeterministic Finite Accepters
Reduction of the Number of States in Finite Automata
Regular Languages and Regular Grammars
Regular Expressions
Formal Definition of a Regular Expression
Languages Associated with Regular Expressions
Connection Between Regular Expressions and Regular Languages
Regular Expressions Denote Regular Languages
Regular Expressions for Regular Languages
Regular Expressions for Describing Simple Patterns
Regular Grammars
Right- and Left-Linear Grammars
Right-Linear Grammars Generate Regular Languages
Right-Linear Grammars for Regular Languages
Equivalence Between Regular Languages and Regular Grammars
Properties of Regular Languages
Closure Properties of Regular Languages
Closure under Simple Set Operations
Closure under Other Operations
Elementary Questions about Regular Languages
Identifying Nonregular Languages
Using the Pigeonhole Principle
A Pumping Lemma
Context-Free Languages
Context-Free Grammars
Examples of Context-Free Languages
Leftmost and Rightmost Derivations
Derivation Trees
Relation Between Sentential Forms and Derivation Trees
Parsing and Ambiguity
Parsing and Membership
Ambiguity in Grammars and Languages
Context-Free Grammars and Programming Languages
Simplification of Context-Free Grammars
Methods for Transforming Grammars
A Useful Substitution Rule
Removing Useless Productions
Removing [lambda]-Productions
Removing Unit-Productions
Two Important Normal Forms
Chomsky Normal Form
Greibach Normal Form
A Membership Algorithm for Context-Free Grammars
Pushdown Automata
Nondeterministic Pushdown Automata
Definition of a Pushdown Automaton
A Language Accepted by a Pushdown Automaton
Pushdown Automata and Context-Free Languages
Pushdown Automata for Context-Free Languages
Context-Free Grammars for Pushdown Automata
Deterministic Pushdown Automata and Deterministic Context-Free Languages
Grammars for Deterministic Context-Free Languages
Properties of Context-Free Languages
Two Pumping Lemmas
A Pumping Lemma for Context-Free Languages
A Pumping Lemma for Linear Languages
Closure Properties and Decision Algorithms for Context-Free Languages
Closure of Context-Free Languages
Some Decidable Properties of Context-Free Languages
Turing Machines
The Standard Turing Machine
Definition of a Turing Machine
Turing Machines as Language Accepters
Turing Machines as Transducers
Combining Turing Machines for Complicated Tasks
Turing's Thesis
Other Models of Turing Machines
Minor Variations on the Turing Machine Theme
Equivalence of Classes of Automata
Turing Machines with a Stay-Option
Turing Machines with Semi-Infinite Tape
The Off-Line Turing Machine
Turing Machines with More Complex Storage
Multitape Turing Machines
Multidimensional Turing Machines
Nondeterministic Turing Machines
A Universal Turing Machine
Linear Bounded Automata
A Hierarchy of Formal Languages and Automata
Recursive and Recursively Enumerable Languages
Languages That Are Not Recursively Enumerable
A Language That Is Not Recursively Enumerable
A Language That Is Recursively Enumerable But Not Recursive
Unrestricted Grammars
Context-Sensitive Grammars and Languages
Context-Sensitive Languages and Linear Bounded Automata
Relation Between Recursive and Context-Sensitive Languages
The Chomsky Hierarchy
Limits of Algorithmic Computation
Some Problems That Cannot Be Solved By Turing Machines
The Turing Machine Halting Problem
Reducing One Undecidable Problem to Another
Undecidable Problems for Recursively Enumerable Languages
The Post Correspondence Problem
Undecidable Problems for Context-Free Languages
Other Models of Computation
Recursive Functions
Primitive Recursive Functions
Ackermann's Function
Post Systems
Rewriting Systems
Markov Algorithms
L-Systems
An Introduction to Computational Complexity
Efficiency of Computation
Turing Machines and Complexity
Language Families and Complexity Classes
The Complexity Classes P and NP
Answers to Selected Exercises
References
Index

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