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Bilatice logic

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If you have a question about this talk, please contact Dan Ghica.

We employ the well-studied and powerful techniques of algebraic semantics and Priestley duality to set up a Kripke semantics for a modal expansion of Arieli and Avron’s bilattice logic, itself based on Belnap’s four-valued logic. We obtain soundness and completeness of a Hilbert-style derivation system for this logic with respect to both classical Kripke frames and four-valued ones, the link between the two arising from a purely topological reading of one axiom. The results hold independently of whether one is interested in local consequence or global consequence on the models.

This talk is part of the Lab Lunch series.

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