Heinz-Dieter Ebbinghaus, Jörg Flum, Wolfgang Thomas, "Mathematical Logic, 3rd Edition"
English | 2021 | ISBN: 3030738388, 3030738418 | 313 pages | True PDF | 7.3 MB
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.