Computability theory, semantics, and logic programming
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Computability theory, semantics, and logic programming

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Published by Oxford University Press, Clarendon Press in New York, Oxford .
Written in English

Subjects:

  • Computable functions.,
  • Data structures (Computer science)

Book details:

Edition Notes

Includes bibliographies and index.

StatementMelvin Fitting.
SeriesOxford logic guides ;, 13
Classifications
LC ClassificationsQA9.59 .F58 1987
The Physical Object
Paginationxi, 198 p. :
Number of Pages198
ID Numbers
Open LibraryOL3024670M
ISBN 100195036913
LC Control Number85005003

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This book describes computability theory and provides an extensive treatment of data structures and program correctness. It makes accessible some of the author's work on generalized recursion theory, particularly the material on the logic programming language PROLOG, which is Author: Melvin Fitting. This book describes computability theory and provides an extensive treatment of data structures and program correctness. It makes accessible some of the author's work on generalized recursion theory, particularly the material on the logic programming language PROLOG, which is . The book is divided into five parts: Computability, Grammars and Automata, Logic, Complexity, and Unsolvability. Computability theory is introduced in a manner that makes maximum use of previous programming experience, including a "universal" program that takes up less than a page. Computability Theory is an invaluable text, reference, and guide to the direction of current research in the field. Nowhere else will you find the techniques and results of this beautiful and basic subject brought alive in such an approachable and lively way. Computability Theory improves brain quality.

This book is a general introduction to computability and complexity theory. It should be of interest to beginning programming language researchers who are interested in com-putability and complexity theory, or vice versa. The view from Olympus Unlike most fields within computer science, computability and complexity theory dealsFile Size: 1MB. Computability and complexity theory should be of central concern to practitioners as well as theorists. Unfortunately, however, the field is known for its impenetrability. Neil Jones's goal as an educator and author is to build a bridge between computability and complexity theory and other areas of computer science, especially : Neil D. Jones. Classical Computability Theory. The foundation, Turing’s analysis. In Leary [2] (the text book used locally for the introductory course on logic) the recursive functions are de ned as those that can be represented in elementary number Size: KB. Computability theory, also known as recursion theory, is a branch of mathematical logic, of computer science, and of the theory of computation that originated in the s with the study of computable functions and Turing degrees. The field has since expanded to include the study of generalized computability and definability.

The authors note that the book can be used for a variety of introductory theoretical computer science courses (such as theory of computation, finite automata and languages, logic, and programming language semantics), or their preference, a unified approach to the subject. artificial intelligence complexity computability computer science constructive type theory first-order logic formal logic GPAC-generable functions highre-order arithmetics knowledge of uncertain worlds modal logic non-normal modal logics observable models primitive recursion problem solving semanitic systems theorem proving. The [lambda]-calculus lies at the very foundations of computer science. Besides its historical role in computability theory it has had significant influence on programming language design and implementation, denotational semantics, and domain theory. The book emphasizes the proof theory for the type-free [lambda]-calculus. Summary: This book describes computability theory and provides an extensive treatment of data structures and program correctness. It makes accessible some of the author's work on generalized recursion theory, particularly the material on the logic programming language PROLOG.