Concise Guide to Computation Theory

ISBN-13: 9781447158165 / Angielski / Miękka / 2014 / 281 str.

Akira Maruoka

Opis

Computation lies at the heart of modern digital technology and our increasingly advanced information society. The theory of computation describes what tasks can and cannot be computed, and why this should be.This focused and accessible guide/textbook presents a thorough foundation to the theory of computation, whilst also providing a deeper insight for those looking to pursue research in this field. Combining intuitive descriptions and illustrations with rigorous arguments and detailed proofs for key topics, the logically structured discussion guides the reader through the core concepts of automata and languages, computability, and complexity of computation. Self-contained and supported by practical examples, the text is suitable for a one- or two-semester undergraduate course in the theory of computation.Topics and features: presents a detailed introduction to the theory of computation, complete with concise explanations of the mathematical prerequisites; provides end-of-chapter problems with solutions, in addition to chapter-opening summaries and numerous examples and definitions throughout the text; draws upon the author's extensive teaching experience and broad research interests; discusses finite automata, context-free languages, and pushdown automata; examines the concept, universality and limitations of the Turing machine; investigates computational complexity based on Turing machines and Boolean circuits, as well as the notion of NP-completeness.This hands-on and easy-to-read textbook/reference is ideal for undergraduate students of computer science and related disciplines needing to develop a deep understanding of this fascinating field, even if they have no prior knowledge of the subject.

Recenzje

From the reviews:

"This work could certainly serve as a text for an undergraduate computer science course, and it might also be considered for presenting these essential modern ideas to students in other majors. ... well-thought-out diagrams highlight important concepts and help elucidate proofs. An ideal text for a one-term course introducing computation theory to either majors or nonmajors; also appropriate for undergraduate self-study. Summing Up: Highly recommended. Upper-division undergraduates through professionals." (P. Cull, Choice, Vol. 49 (3), November, 2011)

"The author walks a delicate path between presenting the breadth of topics and exploring all the depths of the theory, between writing a comprehensive (encyclopedic) textbook and providing a concise overview of the essential topics. ... a concise introduction to the theory of computation, concentrating on the fundamental results that have the greatest impact on the theory and its practical applications. ... very appropriate for graduate students in computer science or those academics who want a refresher course on the main results of the discipline." (R. Goldberg, ACM Computing Reviews, March, 2012)

Spis treści

Part I: The Theory of Computation

Everything Begins With Computation

Preliminaries to the Theory of Computation

Part II: Automata and Languages

Finite Automata

Context-Free Languages

Pushdown Automaton

Part III: Computability

Turing Machine

Universality of Turing Machine and its Limitation

Part IV: Complexity of Computation

Computational Complexity Based on Turing Machines

Computational Complexity Based on Boolean Circuits

NP-Completeness

Solutions

Concluding Remarks

Blurb

Computation lies at the heart of modern digital technology and our increasingly advanced information society. The theory of computation describes what tasks can and cannot be computed, and how efficiently the computable tasks can be computed.

This focused and accessible guide/textbook presents a thorough foundation to the theory of computation, whilst also providing a deeper insight for those looking to pursue research in this field. Combining intuitive descriptions and illustrations with rigorous arguments and detailed proofs for key topics, the logically structured discussion guides the reader through the core concepts of automata and languages, computability, and complexity of computation. Self-contained and supported by practical examples, the text is suitable for a one- or two-semester undergraduate course in the theory of computation.

Topics and features:

• Presents a detailed introduction to the theory of computation, complete with concise explanations of the mathematical prerequisites
• Provides end-of-chapter problems with solutions, in addition to chapter-opening summaries and numerous examples and definitions throughout the text
• Draws upon the author’s extensive teaching experience and broad research interests
• Discusses finite automata, context-free languages, and pushdown automata
• Examines the concept, universality and limitations of the Turing machine
• Investigates computational complexity based on Turing machines and Boolean circuits, as well as the notion of NP-completeness

This hands-on and easy-to-read textbook/reference is ideal for undergraduate students of computer science and related disciplines needing to develop a deep understanding of this fascinating field, even if they have no prior knowledge of the subject.

Dr. Akira Maruoka is a professor in the Faculty of Science and Engineering at Ishinomaki Senshu University, Japan.