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arXiv · 1709.02167

Bilattice Logic Properly Displayed

Giuseppe Greco·Fei Liang·Alessandra Palmigiano·Umberto Rivieccio
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Abstract

We introduce a proper multi-type display calculus for bilattice logic (with conflation) for which we prove soundness, completeness, conservativity, standard subformula property and cut-elimination. Our proposal builds on the product representation of bilattices and applies the guidelines of the multi-type methodology in the design of display calculi.

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Giuseppe Greco, Fei Liang, Alessandra Palmigiano, Umberto Rivieccio. 2017-09-07. Bilattice Logic Properly Displayed. https://arxiv.org/abs/1709.02167

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