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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