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Searching for Shortest Single Axioms for Groups of Exponent 6

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Abstract

In this note, we study shortest (with respect to the number of variable occurrences on the left-hand side) possible single axioms for groups of exponent 6 of the form T = x, where T is a term in product only. These investigations were carried out with the automated theorem provers OTTER and Prover9 and the finite first-order model finder Mace4.

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  1. Department of Mathematics, St. Cloud State University, 720 4th Avenue South, St. Cloud, MN, 56301, USA

    Nick C. Fiala & Keith M. Agre

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  1. Nick C. Fiala
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  2. Keith M. Agre
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Correspondence to Nick C. Fiala.

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Fiala, N.C., Agre, K.M. Searching for Shortest Single Axioms for Groups of Exponent 6. J Autom Reasoning 36, 241–257 (2006). https://doi.org/10.1007/s10817-006-9044-z

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