About this book
Proofs and Algorithms: An Introduction to Logic and Computability
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: An 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.
- DOI https://doi.org/10.1007/978-0-85729-121-9
- Copyright Information Springer-Verlag London Limited 2011
- Publisher Name Springer, London
- eBook Packages Computer Science Computer Science (R0)
- Print ISBN 978-0-85729-120-2
- Online ISBN 978-0-85729-121-9
- Series Print ISSN 1863-7310
- Buy this book on publisher's site