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arXiv · 1710.05599

Complexity of the interpretability logic IL

Luka Mikec·Fedor Pakhomov·Mladen Vuković
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Abstract

We show that the decision problem for the basic system of interpretability logic IL is PSPACE-complete. For this purpose we present an algorithm which uses polynomial space with respect to the complexity of a given formula. The existence of such algorithm, together with the previously known PSPACE hardness of the closed fragment of IL, implies PSPACE-completeness.

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Luka Mikec, Fedor Pakhomov, Mladen Vuković. 2017-10-16. Complexity of the interpretability logic IL. https://arxiv.org/abs/1710.05599

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