Mathematical Logic

Graduate Texts in Mathematics #291

by Heinz-Dieter Ebbinghaus, J. Flum, W. Thomas

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.

Genres: Mathematics, Logic

225 pages, Paperback

First published January 1, 1978

Reviews

[Nick]

The second part of this book contains a useful introduction to the foundations of logic programming, such as Herbrand semantics.