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Mathematical Logic
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Mathematical Logic

Second Edition 1994

Book Details

Format Hardback or Cased Book
ISBN-10 0387942580
ISBN-13 9780387942582
Edition Second Edition 1994
Publisher Springer-Verlag New York Inc.
Imprint Springer-Verlag New York Inc.
Country of Manufacture GB
Country of Publication GB
Publication Date Jun 10th, 1994
Print length 291 Pages
Weight 596 grams
Dimensions 24.10 x 16.60 x 2.10 cms
Product Classification: Mathematical logic
Ksh 9,700.00
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Our first goal is Godel's completeness theorem, which shows that the con­ sequence relation coincides with formal provability: By means of a calcu­ lus consisting of simple formal inference rules, one can obtain all conse­ quences of a given axiom system (and in particular, imitate all mathemat­ ical proofs).

This introduction to first-order logic clearly works out the role of first-order logic in the foundations of mathematics, particularly the two basic questions of the range of the axiomatic method and of theorem-proving by machines. It covers several advanced topics not commonly treated in introductory texts, such as Fraïssé''s characterization of elementary equivalence, Lindström''s theorem on the maximality of first-order logic, and the fundamentals of logic programming.


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