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.
Home page url
Download or read it online for free here:
This book provides a survey of mathematical logic and its various applications. After covering basic material of propositional logic and first-order logic, the course presents the foundations of finite model theory and descriptive complexity.
by Kees Doets, Jan van Eijck - College Publications
The purpose of this book is to teach logic and mathematical reasoning in practice, and to connect logical reasoning with computer programming. The programming language that will be our tool for this is Haskell, a member of the Lisp family.
by Louis Couturat - Project Gutenberg
Mathematical Logic is a necessary preliminary to logical Mathematics. The present work is concerned with the 'calculus ratiocinator' aspect, and shows, in an admirably succinct form, the beauty of the calculus of logic regarded as an algebra.
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.