Mathematical Logic

Mathematical Logic

Author: H.-D. Ebbinghaus

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 290

ISBN-13: 1475723555

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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.