Logic for Computer Science
by Jean H. Gallier
Publisher: Longman Higher Education 1986
Number of pages: 528
This book is intended as an introduction to mathematical logic, with an emphasis on proof theory and procedures for constructing formal proofs of formulae algorithmically. Since the main emphasis of the text is on the study of proof systems and algorithmic methods for constructing proofs, it contains some features rarely found in other texts on logic. This book is designed primarily for computer scientists, and more generally, for mathematically inclined readers interested in the formalization of proofs, and the foundations of automatic theorem-proving.
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by M. Randall Holmes - Boise State University
This textbook is intended to communicate something about proof, sets, and logic. It is about the foundations of mathematics, a subject which results when mathematicians examine the subject matter and the practice of their own subject very carefully.
by J. Girard, Y. Lafont, P. Taylor - Cambridge University Press
This little book comes from a short graduate course on typed lambda-calculus given at the Universite Paris. It is not intended to be encyclopedic and the selection of topics was really quite haphazard. Some very basic knowledge of logic is needed.
by Gilles Dowek - ESSLLI
These are the course notes for the 13th European Summer School in Logic, Language and Information. Contents: Predicate Logic; Extension of Predicate Logic; Type Theory; Cut Elimination in Predicate Logic; Cut Elimination in Predicate Logic Modulo.
by Greg Restall - consequently.org
A textbook in philosophical logic, accessible to someone who's done only an intro course in logic, covering some model theory and proof theory of propositional logic, and predicate logic. User-friendly and philosophically motivated presentation.