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arXiv · 1901.01555

Relation algebras of Sugihara, Belnap, Meyer, and Church

Richard L. Kramer·Roger D. Maddux
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Abstract

Algebras introduced by, or attributed to, Sugihara, Belnap, Meyer, and Church are representable as algebras of binary relations with set-theoretically defined operations. They are definitional reducts or subreducts of proper relation algebras. The representability of Sugihara matrices yields sound and complete set-theoretical semantics for R-mingle.

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Richard L. Kramer, Roger D. Maddux. 2019-01-06. Relation algebras of Sugihara, Belnap, Meyer, and Church. https://arxiv.org/abs/1901.01555

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