Undergraduate Topics in Computer Science: An Introduction to Logic and Computability

Dowek, Gilles

Logic is a branch of philosophy, mathematics and computer science. It studies the required methods to determine whether a statement is true, such as reasoning and computation.

Proofs and Algorithms: Introduction to Logic and Computability is an introduction to the fundamental concepts of contemporary logic - those of a proof, a computable function, a model and a set. It presents a series of results, both positive and negative, - Church's undecidability theorem, Gödel’s incompleteness theorem, the theorem asserting the semi-decidability of provability - that have profoundly changed our vision of reasoning, computation, and finally truth itself.

Designed for undergraduate students, this book presents all that philosophers, mathematicians and computer scientists should know about logic.

Details

Published by: Springer

Publication Date: 2011-01-14

Format: Paperback

ISBN-13: 9780857291202

DOI: 10.1007/978-0-85729-121-9

Dimensions: 235cm x155cm

Pages: 156