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An Introduction to Formal Languages and Automata, 7th Edition

by Peter Linz, Susan H. Rodger

February 2022

Beginner to intermediate

572 pages

13h

English

Jones & Bartlett Learning

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SetsFunctions and RelationsGraphs and TreesProof Techniques
LanguagesGrammarsAutomata

Deterministic Accepters and Transition GraphsLanguages and Dfa’sRegular Languages
Definition of a Nondeterministic AccepterWhy Nondeterminism?
Formal Definition of a Regular ExpressionLanguages Associated with Regular Expressions
Regular Expressions Denote Regular LanguagesRegular Expressions for Regular LanguagesRegular Expressions for Describing Simple Patterns
Right- and Left-Linear GrammarsRight-Linear Grammars Generate Regular LanguagesRight-Linear Grammars for Regular LanguagesEquivalence of Regular Languages and Regular Grammars
Closure under Simple Set OperationsClosure under Other Operations
Using the Pigeonhole PrincipleA Pumping Lemma
Examples of Context-Free LanguagesLeftmost and Rightmost DerivationsDerivation TreesRelation Between Sentential Forms and Derivation Trees
Parsing and MembershipAmbiguity in Grammars and Languages
A Useful Substitution RuleRemoving Useless ProductionsRemoving λ-ProductionsRemoving Unit-Productions
Chomsky Normal FormGreibach Normal Form
Definition of a Pushdown AutomatonThe Language Accepted by a Pushdown Automaton
Pushdown Automata for Context-Free LanguagesContext-Free Grammars for Pushdown Automata
A Pumping Lemma for Context-Free LanguagesA Pumping Lemma for Linear Languages
Closure of Context-Free LanguagesSome Decidable Properties of Context-Free Languages
Definition of a Turing MachineTuring Machines as Language AcceptersTuring Machines as Transducers
Equivalence of Classes of AutomataTuring Machines with a Stay-OptionTuring Machines with Semi-Infinite TapeThe Off-Line Turing Machine
Multitape Turing MachinesMultidimensional Turing Machines
Languages That Are Not Recursively EnumerableA Language That Is Not Recursively EnumerableA Language That Is Not Recursively Enumerable but Not Recursive
Context-Sensitive Languages and Linear Bounded AutomataRelation Between Recursive and Context-Sensitive Languages
Computability and DecidabilityThe Turing Machine Halting ProblemReducing One Undecidable Problem to Another
Primitive Recursive FunctionsAckermann’s Functionμ Recursive Functions
Matrix GrammarsMarkov AlgorithmsL-Systems
Pushdown Automata for LLParsingAlgorithm to Convert Context-Free Grammar to NPDA for LLParsing
LL(1) Parse Table
LL(1) Parsing Algorithm
Algorithm to Convert Context-Free Grammar to NPDA for LR Parsing
Algorithm to Build DFA Modeling LR Parsing
LR(1) Parsing ActionsLR(1) Parse Table Algorithm
LR(1) Parsing Algorithm

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ISBN: 9781284231618

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