Theories of Computability

Title

Theories of Computability

Files

Description

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.

ISBN

0521153433

Publication Date

2010

Publisher

Cambridge University Press

City

Cambridge, U.K.; New York, NY, USA

Keywords

computability, Boolean functions, automata, formal languages

Disciplines

Computer Sciences | Physical Sciences and Mathematics | Theory and Algorithms