An Introduction To Formal Languages And Machine Computation

This book provides a concise and modern introduction to Formal Languages and Machine Computation, a group of disparate topics in the theory of computation, which includes formal languages, automata theory, turing machines, computability, complexity, number-theoretic computation, public-key cryptography, and some new models of computation, such as quantum and biological computation. As the theory of computation is a subject based on mathematics, a thorough introduction to a number of relevant mathematical topics, including mathematical logic, set theory, graph theory, modern abstract algebra, and particularly number theory, is given in the first chapter of the book. The book can be used either as a textbook for an undergraduate course, for a first-year graduate course, or as a basic reference in the field. Contents:Computation-Related Mathematics:Logics and ProofsSets, Functions and GraphsDivisibility, Continued Fractions and CongruencesGroups, Rings and FieldsFormal Languages and Automata:Languages, Grammars and AutomataFinite Automata and Regular LanguagesPush-Down Automata and Context-Free LanguagesTuring Machines and Recursively Enumerable LanguagesTuring Computability and Complexity:Computability and NoncomputabilityDecidability and UndecidabilityComputational ComplexityDesign and Analysis of AlgorithmsNumber-Theoretic Computations and Applications:Primality TestingInteger FactorizationDiscrete LogarithmsCryptology and Systems SecurityHigh-Speed ComputationThree More Applications in ComputingNew Models of Computation:Quantum ComputationBiological ComputationComparison of Quantum and DNA Biological ModelsComparison of Connectionist and DNA Biological Models Readership: Students, teachers and researchers in computer science. keywords:Formal Languages;Automata;Computability;Complexity;Models of Computation

A Concise Introduction to Languages, Machines and Logic provides an accessible introduction to three key topics within computer science: formal languages, abstract machines and formal logic. Written in an easy-to-read, informal style, this textbook assumes only a basic knowledge of programming on the part of the reader. The approach is deliberately non-mathematical, and features: - Clear explanations of formal notation and jargon, - Extensive use of examples to illustrate algorithms and proofs, - Pictorial representations of key concepts, - Chapter opening overviews providing an introduction and guidance to each topic, - End-of-chapter exercises and solutions, - Offers an intuitive approach to the topics. This reader-friendly textbook has been written with undergraduates in mind and will be suitable for use on course covering formal languages, formal logic, computability and automata theory. It will also make an excellent supplementary text for courses on algorithm complexity and compilers.

An Introduction to Formal Languages & 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 & principles of computer science & to strengthen the students' ability to carry out formal & rigorous mathematical argument. Employing a problem-solving approach, the text provides students insight into the course material by stressing intuitive motivation & illustration of ideas through straightforward explanations & solid mathematical proofs. By emphasizing 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 & definitions.

Introduction to Formal Languages, Automata Theory and Computation presents the theoretical concepts in a concise and clear manner, with an in-depth coverage of formal grammar and basic automata types. The book also examines the underlying theory and principles of computation and is highly suitable to the undergraduate courses in computer science and information technology. An overview of the recent trends in the field and applications are introduced at the appropriate places to stimulate the interest of active learners.

Data Structures & Theory of Computation

This Book Is Aimed At Providing An Introduction To The Basic Models Of Computability To The Undergraduate Students. This Book Is Devoted To Finite Automata And Their Properties. Pushdown Automata Provides A Class Of Models And Enables The Analysis Of Context-Free Languages. Turing Machines Have Been Introduced And The Book Discusses Computability And Decidability. A Number Of Problems With Solutions Have Been Provided For Each Chapter. A Lot Of Exercises Have Been Given With Hints/Answers To Most Of These Tutorial Problems.

An up-to-date, authoritative text for courses in theory of computability and languages. The authors redefine the building blocks of automata theory by offering a single unified model encompassing all traditional types of computing machines and real world electronic computers. This reformulation of computablity and formal language theory provides a framework for building a body of knowledge. A solutions manual and an instructor's software disk are also available.

Data Structures & Theory of Computation