Introduction to Proof Theory
by Gilles Dowek
Publisher: ESSLLI 2001
Number of pages: 82
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.
Home page url
Download or read it online for free here:
by Lawrence C Paulson - University of Cambridge
These lecture notes give a brief introduction to logic, with including the resolution method of theorem-proving and its relation to the programming language Prolog. Formal logic is used for specifying and verifying computer systems.
by T. Nipkow, L.C. Paulson, M. Wenzel - Springer
This book is a self-contained introduction to interactive proof in higher-order logic, using the proof assistant Isabelle. It is a tutorial for potential users. The book has three parts: Elementary Techniques; Logic and Sets; Advanced Material.
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.