Theories of Computability

Erscheinungsjahr 2010
ISBN: 978-0-521-15343-0
Verlag: Cambridge University Press

Buch, Englisch, 264 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 434 g

This book gives an introduction to theories of computability from a mathematically sophisticated point of view. It treats not only 'the' theory of computability (created by Alan Turing and others in the 1930s), but also a variety of other theories (of Boolean functions, automata and formal languages). These are addressed from the classical perspective of their generation by grammars and from the 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 by one of the leading lights of the subject will prove exceptionally useful reading for graduate students, and researchers in theoretical computer science and mathematics.

Autoren/Hrsg.

Pippenger, Nicholas

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
• Mathematik | Informatik EDV | Informatik Informatik Berechenbarkeitstheorie, Komplexitätstheorie
• Mathematik | Informatik EDV | Informatik Informatik Theoretische Informatik
• Mathematik | Informatik EDV | Informatik Informatik Logik, formale Sprachen, Automaten

Inhaltsverzeichnis

Preface; 1. Finite functions and relations; 2. Finite automata and their languages; 3. Grammars and their languages; 4. Computable functions and relations; References; Author index; Subject index; Math index.