Abstract
A promising approach to attack the problem of combinatorial explosion faced in automated theorem proving is to employ search guiding heuristics. Our system, which is able to learn such heuristics automatically, uses evaluation functions to rate different choices for continuation during a proof. In this paper, we will focus on the content and representation of the input to these evaluation functions.
This is a preview of subscription content, log in via an institution.
Preview
Unable to display preview. Download preview PDF.
References
[BES+81] K. Bläsius, N. Eisinger, J. Siekmann, G. Smolka, A. Herold, and C. Walther. The Markgraf Karl Refutation Proof Procedure. In Proceedings of the Seventh International Joint Conference on Artificial Intelligence, Vancouver, 1981.
C.-L. Chang and R.C.-T. Lee. Symbolic Logic and Mechanical Theorem Proving. Academic Press, 1973.
W. Ertel, J. Schumann, and C.B. Suttner. Learning Heuristics for a Theorem Prover using Back Propagation. In Proceedings of the 5. ÖGAI-Conference, Igls, Austria, 1989. Springer.
R. Letz, S. Bayerl, J. Schumann, and W. Bibel. SETHEO: A High-Performance Theorem Prover. to appear in: Journal of Automated Reasoning.
D.W. Loveland. Mechanical Theorem-Proving by Model Elimination. Journal of the ACM, 15(2), 1968.
R. Overbeek, J. McCharen, and L. Wos. Complexity and Related Enhancements for Automated Theorem-Proving Programs. Comp. & Maths. with Appls., 2(1-A), 1976.
D.E. Rumelhart, G.E. Hinton, and R.J. Williams. Learning Internal Representations by Error Propagation. In Parallel Distributed Processing, 1986.
A.L. Samuel. Some Studies in Machine Learning Using the Game of Checkers. IBM Journal, 1(3), 1959.
A.L. Samuel. Some Studies in Machine Learning Using the Game of Checkers, II. IBM Journal, 11(6), 1967.
C.B. Suttner and W. Ertel. Automatic Acquisition of Search Guiding Heuristics. In Proceedings of the 10. International Conference on Automated Deduction (CADE). Springer, 1990.
J.R. Slagle and C.D. Farrell. Experiments in Automatic Learning for a Multipurpose Heuristic Program. Comm. of the ACM, 14(2), 1971.
M.E. Stickel. Schubert's Steamroller Problem: Formulations and Solutions. Journal of Automated Reasoning, 2:89–101, 1986.
C.B. Suttner. Learning Heuristics for Automated Theorem Proving. Diploma Thesis, Technical University Munich, May 1989.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1990 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Suttner, C.B. (1990). Representing heuristic-relevant information for an automated theorem prover. In: Dassow, J., Kelemen, J. (eds) Aspects and Prospects of Theoretical Computer Science. IMYCS 1990. Lecture Notes in Computer Science, vol 464. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-53414-8_49
Download citation
DOI: https://doi.org/10.1007/3-540-53414-8_49
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-53414-3
Online ISBN: 978-3-540-46869-1
eBook Packages: Springer Book Archive