A Half-century of Automata Theory

Celebration and Inspiration


Author: Arto Salomaa,Derick Wood,Sheng Yu

Publisher: World Scientific

ISBN: 9810245904

Category: Computers

Page: 155

View: 4447

This volume gathers lectures by 8 distinguished pioneers of automata theory, including two Turing Award winners. In each contribution, the early developments of automata theory are reminisced about and future directions are suggested. Although some of the contributions go into rather intriguing technical details, most of the book is accessible to a wide audience interested in the progress of the age of computers.The book is a must for professionals in theoretical computer science and related areas of mathematics. For students in these areas it provides an exceptionally deep view at the beginning of the new millennium.

Formal Languages And Automata Theory


Author: A.A.Puntambekar

Publisher: Technical Publications

ISBN: 9788184313024


Page: 506

View: 4359

FundamentalsStrings, Alphabet, Language, Operations, Finite state machine, Definitions, Finite automaton model, acceptance of strings and languages, Deterministic finite automaton and non deterministic finite automaton, Transition diagrams and language recognizers.Finite AutomataNFA with Î transitions-Significance, Acceptance of languages. Conversions and Equivalence : Equivalence between NFA with and without Î transitions, NFA to DFA conversion, Minimisation of FSM, Equivalence between two FSM's, Finite Automata with output-Moore and Melay machines.Regular LanguagesRegular sets, Regular expressions, Identify rules, Constructing finite Automata for a given regular expressions, Conversion of finite automata to regular expressions. Pumping lemma of regular sets, Closure properties of regular sets.Grammar FormalismRegular grammars-right linear and left linear grammars, Equivalence between regular linear grammar and FA, Inter conversion, Context free grammar, Derivation trees, Sentential forms,Rightmost and leftmost derivation of strings.Context Free GrammarsAmbiguity in context free grammars. Minimisation of context free grammars. Chomsky normal form, Greiback normal form, Pumping lemma for context free languages. Enumeration of properties of CFL.Push Down AutomataPush down automata, Definition, Model, Acceptance of CFL, Acceptance by final state and acceptance by empty state and its equivalence. Equivalence of CFL and PDA, Interconversion. Introduction to DCFL and DPDA.Turing MachineTuring Machine, Definition, Model, Design of TM, Computable functions, Recursively enumerable languages. Church's hypothesis, Counter machine, Types of turing machines.Computability TheoryChomsky hierarchy of languages, Linear bounded automata and context sensitive language, LR(0) grammar, Decidability of problems, Universal turing machine, Undecidability of posts. Correspondence problem, Turing reducibility, Definition of P and NP problems, NP complete and NP hard problems.

Introduction to Automata Theory, Formal Languages and Computation


Author: Shyamalendu Kandar

Publisher: Pearson Education India

ISBN: 9332516324


Page: 650

View: 448

Formal languages and automata theory is the study of abstract machines and how these can be used for solving problems. The book has a simple and exhaustive approach to topics like automata theory, formal languages and theory of computation. These descriptions are followed by numerous relevant examples related to the topic. A brief introductory chapter on compilers explaining its relation to theory of computation is also given.

Automata Theory


Author: Matthew Simon

Publisher: World Scientific

ISBN: 9789810237530

Category: Computers

Page: 428

View: 5947

This book covers substantially the central ideas of a one semester course in automata theory. It is oriented towards a mathematical perspective that is understandable to non-mathematicians. Comprehension is greatly aided by many examples, especially on the Chomsky ? Schtzenberger theorem, which is not found in most books in this field. Special attention is given to semiautomata theory: the relationship between semigroups and sequential machines (including Green's relations), Schtzenberger's maximal subgroup, von Neumann inverses, wreath products, transducers using matrix notation, shuffle and Kronecker shuffle products. Methods of formal power series, the ambiguity index and linear languages are discussed. Core material includes finite state automata, regular expressions, Kleene's theorem, Chomsky's hierarchy and transformations of grammars. Ambiguous grammars (not limited to context-free grammars) and modal logics are briefly discussed. Turing machine variants with many examples, pushdown automata and their state transition diagrams and parsers, linear-bounded automata/2-PDA and Kuroda normal form are also discussed. A brief study of Lindenmeyer systems is offered as a comparison to the theory of Chomsky.

Algebraic Automata Theory


Author: M. Holcombe,W. M. L. Holcombe

Publisher: Cambridge University Press

ISBN: 9780521604925

Category: Mathematics

Page: 244

View: 6887

A self-contained, modern treatment of the algebraic theory of machines based on fundamental ideas from modern algebra.

Introduction to Automata Theory, Languages, and Computation


Author: John E. Hopcroft

Publisher: Addison Wesley Publishing Company

ISBN: 9780201029888

Category: Computational complexity

Page: 418

View: 5006

Preliminaries. Finite automata and regular expressions. Properties of regular sets. Context-free grammars. Pushdown automata; Properties of context-free languages. Turing machines. Undecidability. The Cohmsky hierarchy. Heterministic context-free languages. Closure properties of families of languages. Computational complexity theory. Intractable problems. Highlights of other important language classes.