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A method for finding new sets of axioms for classes of semigroups
Archive for Mathematical Logic 51 (5):461-474 (2012)
Abstract
We introduce a general technique for finding sets of axioms for a given class of semigroups. To illustrate the technique, we provide new sets of defining axioms for groups of exponent n, bands, and semilattices.Author's Profile
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References found in this work
Questions concerning possible shortest single axioms for the equivalential calculus: an application of automated theorem proving to infinite domains.L. Wos, S. Winker, R. Veroff, B. Smith & L. Henschen - 1983 - Notre Dame Journal of Formal Logic 24 (2):205-223.
Notes on the axiomatics of the propositional calculus.C. A. Meredith & A. N. Prior - 1963 - Notre Dame Journal of Formal Logic 4 (3):171-187.
Equational logic.C. A. Meredith & A. N. Prior - 1968 - Notre Dame Journal of Formal Logic 9 (3):212-226.
The Early Development of the Algebraic Theory of Semigroups.Christopher Hollings - 2009 - Archive for History of Exact Sciences 63 (5):497-536.
Shortest single axioms for the classical equivalential calculus.Jeremy George Peterson - 1976 - Notre Dame Journal of Formal Logic 17 (2):267-271.
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