EAN: 9780857291202

UNDERGRADUATE TOPICS IN COMPUTER SCIENCE PROO...

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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