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OverviewThis short book, geared towards undergraduate students of computer science and mathematics, is specifically designed for a first course in mathematical logic. A proof of Gödel's completeness theorem and its main consequences is given using Robinson's completeness theorem and Gödel's compactness theorem for propositional logic. The reader will familiarize himself with many basic ideas and artifacts of mathematical logic: a non-ambiguous syntax, logical equivalence and consequence relation, the Davis-Putnam procedure, Tarski semantics, Herbrand models, the axioms of identity, Skolem normal forms, nonstandard models and, interestingly enough, proofs and refutations viewed as graphic objects. The mathematical prerequisites are minimal: the book is accessible to anybody having some familiarity with proofs by induction. Many exercises on the relationship between natural language and formal proofs make the book also interesting to a wide range of students of philosophy and linguistics. Full Product DetailsAuthor: Daniele MundiciPublisher: Springer Verlag Imprint: Springer Verlag Edition: 2012 Dimensions: Width: 15.60cm , Height: 0.70cm , Length: 23.40cm Weight: 0.454kg ISBN: 9788847023604ISBN 10: 8847023602 Pages: 130 Publication Date: 02 February 2012 Audience: College/higher education , Undergraduate Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsFrom the reviews: This is a short introduction to mathematical logic that covers basic material in 17 chapters ... . The book is interspersed with several small references to various scholars involved in the development of logic, which provides for welcome interruptions in the formal exposition. ... An important aspect of the book is a veritable multitude of exercises. ... it is a very nice booklet that in view of this reviewer is an attractive choice for an introductory logic course for first year computer science students. (Krzysztof R. Apt, Theory and Practice of Logic Programming, Vol. 12 (3), 2012) From the reviews: ""This is a short introduction to mathematical logic that covers basic material in 17 chapters ... . The book is interspersed with several small references to various scholars involved in the development of logic, which provides for welcome interruptions in the formal exposition. ... An important aspect of the book is a veritable multitude of exercises. ... it is a very nice booklet that in view of this reviewer is an attractive choice for an introductory logic course for first year computer science students."" (Krzysztof R. Apt, Theory and Practice of Logic Programming, Vol. 12 (3), 2012) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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