Foundations of Automatic Theorem Proving

Second Edition

A corrected version of the original Wiley edition (pp. 511, 1986), published by Dover, June 2015.

DOVER EDITION (June 2015)

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- Preface, Table of Contents (pdf)

OTHER LOGIC PAPERS OF INTEREST

- Snyder, W. and Gallier, J.
Higher-Order Unification Revisited:
Complete Sets of Transformations.

*Journal of Symbolic Computation,*8(5), 101--140 (1989).

(ps) (pdf) - Snyder, W. and Gallier, J.
Complete Sets of Transformations for General E-Unification.

*Theoretical Computer Science,*67, 203-260 (1989).

Part I (ps), (pdf), Part II (ps), (pdf) - On Girard's "Candidats de Reductibilite'."

In*Logic and Computer Science.*P. Odifreddi, Editor, Academic Press, 123-203 (1989).

(pdf) - What's so special about Kruskal's Theorem and the ordinal
*Gamma_0*.

A survey of some results in proof theory.

*Annals of Pure and Applied Logic,*53, 199-260 (1991).

(pdf) - Constructive Logics. Part I: A Tutorial on Proof Systems and Typed
*lambda*-Calculi.

*Theoretical Computer Science,*110(2), 249-239 (1993).

(ps) (pdf)

- Constructive Logics. Part II: Linear Logic and Proof Nets.

Technical Report, CIS Department, University of Pennsylvania, 1991.

(ps) (pdf) - On the Correspondence Between Proofs and
*lambda*-Terms.

*Cahiers du Centre de Logique,*Philippe DeGroote, Editor, Université Catholique de Louvain, 1995.

(ps) (pdf) - Proving Properties of Typed
*lambda*-Terms Using Realizability, Covers, and Sheaves.

*Theoretical Computer Science,*142(2), 299-368, (1995).

(ps) (pdf) - Kripke Models and the (in)equational logic of the second-order
*lambda*-Calculus

*Annals of Pure and Applied Logic*, 84, 257-316, (1997)

(ps) (pdf) - Typing untyped
*lambda terms*, or Reducibility Strikes Again!

*Annals of Pure and Applied Logic*, 91, 231-270, (1998)

(ps) (pdf) - A proof of strong normalization for the theory of constructions
using a Kripke-like interpretation.

(With Thierry Coquand) First Annual Workshop on Logical Frameworks, Antibes, May 1990.

(ps) (pdf) - A Note on Logical PERs and Reducibility.
Logical Relations strike again!

Technical Report, December 1998.

(ps) (pdf) - Unification Procedures in Automated Deduction Methods Based on Matings:
A Survey.

In*Tree automata and languages,*Edited by M. Nivat and A. Podelski, Elsevier, 439-485 (1992).

(ps) (pdf) - The completeness of propositional resolution, A simple
constructive proof.

LMCS, 2(5), pp. 1-7, (November, 2006).

(html) (pdf)

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