Computability

A Mathematical Sketchbook
1994
ISBN: 978-0-387-94174-5
Verlag: Springer

Buch, Englisch, Band 146, 180 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1000 g

Reihe: Graduate Texts in Mathematics

Aimed at mathematicians and computer scientists who will only be exposed to one course in this area, Computability: AMathematical Sketchbook provides a brief but rigorous introduction to the abstract theory of computation, sometimes also referred to as recursion theory. It develops major themes in computability theory, such as Rice's theorem and the recursion theorem, and provides a systematic account of Blum's complexity theory as well as an introduction to the theory of computable real numbers and functions. The book is intended as a university text, but it may also be used for self-study; appropriate exercises and solutions are included.

Zielgruppe

Graduate

Autoren/Hrsg.

Bridges, Douglas S.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein
• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker

Inhaltsverzeichnis

Preliminaries.- 1 What Is a Turing Machine?.- 2 Computable Partial Functions.- 3 Effective Enumerations.- 4 Computable Numbers and Functions.- 5 Rice’s Theorem and the Recursion Theorem.- 6 Abstract Complexity Theory.- Solutions to Exercises.- Solutions for Chapter 1.- Solutions for Chapter 2.- Solutions for Chapter 3.- Solutions for Chapter 4.- Solutions for Chapter 5.- Solutions for Chapter 6.- References.