Theories of Computability
Theories of Computability by Nicholas Pippenger, published by Cambridge University Press on May 28, 1997, is a comprehensive introduction to the various theories of computability. This edition spans 251 pages and is presented in English. The book covers the foundational theory of computability established by Alan Turing and extends to other theories involving Boolean functions, automata, and formal languages, providing a mathematically sophisticated overview of the subject.
Readers will find a thorough exploration of classical computability, beginning with an axiomatic foundation and progressing through essential methods to highlight significant results in the field. The text addresses both traditional and modern perspectives on computability, making it a valuable resource for graduate students and researchers in theoretical computer science and mathematics. The book’s broad coverage and depth ensure that it serves as a critical reference for those interested in the intersections of computers, logic, and discrete mathematics.
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Broad in coverage, mathematically sophisticated, and up to date, this book provides an introduction to theories of computability. It treats not only “the” theory of computability (the theory created by Alan Turing and others in the 1930s), but also a variety of other theories (of Boolean functions, automata and formal languages) as theories of computability. These are addressed from the classical perspective of their generation by grammars and from the more modern perspective as rational cones. The treatment of the classical theory of computable functions and relations takes the form of a tour through basic recursive function theory, starting with an axiomatic foundation and developing the essential methods in order to survey the most memorable results of the field. This authoritative account, written by one of the leading lights of the subject, will be required reading for graduate students and researchers in theoretical computer science and mathematics.
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