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Some experiments in nonassociative ring theory with an automated theorem prover

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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.

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This work was supported by the Applied Mathematical Sciences subprogram of the Office of Energy Research, U.S. Department of Energy, under contract W-31-109-Eng-38.

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Stevens, R.L. Some experiments in nonassociative ring theory with an automated theorem prover. J Autom Reasoning 3, 211–221 (1987). https://doi.org/10.1007/BF00243209

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  • DOI: https://doi.org/10.1007/BF00243209

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