## e-books in Proof Theory category

**Introduction to Proof Theory**

by

**Gilles Dowek**-

**ESSLLI**,

**2001**

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.

(

**10670**views)

**Isabelle/HOL: A Proof Assistant for Higher-Order Logic**

by

**T. Nipkow, L.C. Paulson, M. Wenzel**-

**Springer**,

**2010**

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.

(

**18766**views)

**Proof, Sets, and Logic**

by

**M. Randall Holmes**-

**Boise State University**,

**2009**

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.

(

**15753**views)

**Proof Theory and Philosophy**

by

**Greg Restall**-

**consequently.org**,

**2006**

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.

(

**12699**views)

**Logic and Proof**

by

**Lawrence C Paulson**-

**University of Cambridge**,

**2002**

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.

(

**14711**views)

**Proofs and Types**

by

**J. Girard, Y. Lafont, P. Taylor**-

**Cambridge University Press**,

**1989**

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.

(

**18845**views)

**Logic for Computer Science**

by

**Jean H. Gallier**-

**Longman Higher Education**,

**1986**

This online book is an introduction to mathematical logic. The emphasis is on proof theory and algorithmical procedures for formal proofs. The book is designed for computer scientists and mathematically inclined readers.

(

**18398**views)

**Language, Proof and Logic**

by

**Jon Barwise, John Etchemendy**-

**Center for the Study of Language**,

**2011**

The book covers the boolean connectives, formal proof techniques, quantifiers, basic set theory, induction, proofs of soundness and completeness for propositional and predicate logic, and an accessible sketch of Godel's first incompleteness theorem.

(

**21147**views)