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Covers elementary topics such as proofs, models, recursive functions, and Church's theorem
Introduces more advanced topics, like rewriting, lambada-calculus, sequent calculus, and automated theorem proving
Written for students who have had no exposure to logic before
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.