Abstract
With the aid of automated reasoning techniques, we show that all previously known short single axioms for odd exponent groups are special cases of one general schema. We also demonstrate how to convert the proofs generated by an automated reasoning system into proofs understandable by a human.
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Beth, T., Jungnickel, D., and Lenz, H.:Design Theory, Bibliographisches Institut, 1985.
Kunen, K.: Single axioms for groups,J. Automated Reasoning 9 (1992), 291–308.
Kunen, K.: The shortest single axioms for groups of exponent 4, Technical Report UW#1134, University of Wisconsin, 1993;Computers and Mathematics with Applications 29 (1995), 1–12.
McCune, W. W.: OTTER 3.0 reference manual and guide, Technical Report ANL-94/6, Argonne National Laboratory, 1994.
McCune, W. W.: Single axioms for groups and Abelian groups with various operations,J. Automated Reasoning 10 (1993), 1–13.
McCune, W. W. and Wos. L.: Applications of automated deduction to the search for single axioms for exponent groups, inLogic Programming and Automated Reasoning, Springer-Verlag, 1992, pp. 131–136.
Neumann, B. H.: Another single law for groups,Bull. Australian Math. Soc. 23 (1981), 81–102.
Tarski, A.: Equational logic and equational theories of algebras, in H. A. Schmidt, K. Schütte, and H.-J. Thiele (eds),Proc. Logic Colloquium, Hannover, 1966, North-Holland, 1968, pp. 275–288.
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Authors supported by NSF Grant DMS-9100665
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Hart, J., Kunen, K. Single axioms for odd exponent groups. J Autom Reasoning 14, 383–412 (1995). https://doi.org/10.1007/BF00881714
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DOI: https://doi.org/10.1007/BF00881714