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Journal of Automated Reasoning

, Volume 3, Issue 2, pp 211–221 | Cite as

Some experiments in nonassociative ring theory with an automated theorem prover

  • Rick L. Stevens
Problem Corner

Abstract

This paper presents some experiments using an automated theorem proving program (ATP) to prove theorems in nonassociative ring theory of varying difficulty. Several simple theorems proved by the program are discussed and other more difficult theorems that have been attempted are presented with some commentary as to why the program failed to find certain proofs. We also give some open problems that might be suitable for investigation with an ATP.

Keywords

Artificial Intelligence Open Problem Mathematical Logic Theorem Prove Algebraic Manipulation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Wos, L. and Robinson, G. A., Paramodulation and set of support, in Proceedings of the IRIA Symposium on Automatic Demonstration, Versailles, France, Springer-Verlag Publ. 1968, pp. 276–340.Google Scholar
  2. 2.
    Lusk, E. and Overbeek, R., The Automated Reasoning System ITP. Argonne National Laboratory, ANL-84-27, 1984.Google Scholar
  3. 3.
    Schafer, R. D., An Introduction to Nonassociative Algebras. Academic Press, New York, 1966.Google Scholar
  4. 4.
    Zhevlakov, K. A. et al., Rings that are Nearly Associative. Academic Press, New York, 1982.Google Scholar

Copyright information

© D. Reidel Publishing Company 1987

Authors and Affiliations

  • Rick L. Stevens
    • 1
  1. 1.Argonne National LaboratoryArgonneUSA

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