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Monadic representability of certain binary relations

Published online by Cambridge University Press:  17 April 2009

I.L. Humberstone
I.L. Humberstone
Affiliation:
Department of Philosophy, Monash University, Clayton, Victoria, 3168, Australia.
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Call a relation R⊆A2 (A some non-empty set) monadically representable when there exist F, G⊆A such that R = {(x, y) | x ∈ F ∘ y ∈ G} for some truth-functional connective ∘. This note finds a first-order condition on R which is necessary and sufficient for R to be monadically representable.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 29 , Issue 3 , June 1984 , pp. 365 - 376
Copyright
Copyright © Australian Mathematical Society 1984