Reasoning on Relations, Modalities, and Sets

In Michał Zawidzki & Joanna Golińska-Pilarek (eds.), Ewa Orłowska on Relational Methods in Logic and Computer Science. Cham, Switzerland: Springer Verlag. pp. 129-168 (2018)
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Abstract

This survey discusses the interplay among unquantified relational logics, propositional modal logics, and set theories. To set up a common ground, cross-translation methods among languages commonly used to work with relations, modalities, and sets, are revisited. This paper also reports on many experiments aimed at providing automated support for reasoning based on the calculus of dyadic relations.

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