Proofs and Algorithms: An Introduction to Logic and Computability (Undergraduate Topics in Computer Science)

Proofs and Algorithms: An Introduction to Logic and Computability (Undergraduate Topics in Computer Science)

Author
Gilles Dowek
Language
English
Edition
2011
ISBN
9780857291219,9780857291202
File Type
epub
File Size
1.6 MiB

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.

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