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arXiv · 1406.2161

Tableaux for Dynamic Logic of Propositional Assignments

Tiago de Lima·Andreas Herzig
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Abstract

The Dynamic Logic for Propositional Assignments (DL-PA) has recently been studied as an alternative to Propositional Dynamic Logic (PDL). In DL-PA, the abstract atomic programs of PDL are replaced by assignments of propositional variables to truth values. This makes DL-PA enjoy some interesting meta-logical properties that PDL does not, such as eliminability of the Kleene star, compactness and interpolation. We define and analytic tableaux calculus for DL-PA and show that it matches the known complexity results.

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Tiago de Lima, Andreas Herzig. 2014-06-09. Tableaux for Dynamic Logic of Propositional Assignments. https://arxiv.org/abs/1406.2161

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