**Introduction to Proof Theory**

by Gilles Dowek

**Publisher**: ESSLLI 2001**Number of pages**: 82

**Description**:

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.

Download or read it online for free here:

**Download link**

(620KB, PDF)

## Similar books

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

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.

(

**13340**views)

**Logic and Proof**

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.

(

**10648**views)

**Language, Proof and Logic**

by

**Jon Barwise, John Etchemendy**-

**Center for the Study of Language**

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.

(

**14729**views)

**Proofs and Types**

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.

(

**13399**views)