Studia Logica 46 (3):209 - 225 (1987)
A connection between Aristotle's syllogistic and the calculus of relations is investigated. Aristotle's and Gergonne's syllogistics are considered as some algebraic structures. It is proved that Gergonne's syllogistic is isomorphic to closed elements algebra of a proper approximation relation algebra. This isomorphism permits to evaluate Gergonne's syllogisms and also Aristotle's syllogisms, laws of conversion and relations in the "square of oppositions" by means of regular computations with Boolean matrices.
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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.
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