by Stephen G. Simpson
Publisher: Pennsylvania State University 2013
Number of pages: 128
This is a course of Mathematical Logic for all mathematics graduate students. The text covers the propositional calculus, the predicate calculus, proof systems for propositional and predicate calculus, extensions of the predicate calculus, theories, definability, interpretability, arithmetization and incompleteness.
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by Vilnis Detlovs, Karlis Podnieks - University of Latvia
From the table of contents: 1. Introduction. What Is Logic, Really?; 2. Propositional Logic; 3. Predicate Logic; 4. Completeness Theorems (Model Theory); 5. Normal Forms. Resolution Method; 6. Miscellaneous (Negation as Contradiction or Absurdity).
by Robert A. Herrmann
This is Robert Herrmann's elementary book in mathematical logic that includes all basic material in the predicate and propositional calculus presented in a unique manner. Neither proof requires specialized mathematical procedures.
by H. Andreka, I. Nemeti, I. Sain
Part I of the book studies algebras which are relevant to logic. Part II deals with the methodology of solving logic problems by (i) translating them to algebra, (ii) solving the algebraic problem, and (iii) translating the result back to logic.
by Stefan Bilaniuk
An introduction to mathematical logic for undergraduates. It supplies definitions, statements of results, and problems, along with some explanations, examples, and hints. The idea is to learn the material by solving the problems.