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The usual modelling of the syllogisms of the Organon by a calculus of classesdoes not include relations. Aristotle may however have envisioned them in thefirst two books as the category of relatives, where he allowed them to composewith themselves. Composition is the main operation in combinatory logic, whichtherefore offers itself for a new kind of modelling. The resulting calculusincludes also composition of predicates by logical connectives.

Aristotle' Relations: An Interpretation in Combinatory Logic