Modal Syllogistic

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

A modal extension of classical syllogistic is given interpreted by the standard relational Kripke semantics. Completeness theorems and decidability for the minimal system and some of its extensions are proven. Completeness with respect to extensions with arbitrary Sahlqvist formulas is also considered.

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