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arXiv · 1706.02854

A Real-Valued Modal Logic

Denisa Diaconescu·George Metcalfe·Laura Schnüriger
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Abstract

A many-valued modal logic is introduced that combines the usual Kripke frame semantics of the modal logic K with connectives interpreted locally at worlds by lattice and group operations over the real numbers. A labelled tableau system is provided and a coNEXPTIME upper bound obtained for checking validity in the logic. Focussing on the modal-multiplicative fragment, the labelled tableau system is then used to establish completeness for a sequent calculus that admits cut-elimination and an axiom system that extends the multiplicative fragment of Abelian logic.

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Denisa Diaconescu, George Metcalfe, Laura Schnüriger. 2018-01-22. A Real-Valued Modal Logic. https://doi.org/10.23638/lmcs-14(1%3A10)2018

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