Graded modal logic and counting bisimulation

Martin Otto

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arXiv · 1910.00039

Graded modal logic and counting bisimulation

Martin Otto

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Abstract

This note sketches the extension of the basic characterisation theorems as the bisimulation-invariant fragment of first-order logic to modal logic with graded modalities and matching adaptation of bisimulation. We focus on showing expressive completeness of graded multi-modal logic for those first-order properties of pointed Kripke structures that are preserved under counting bisimulation equivalence among all or among just all finite pointed Kripke structures.

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Martin Otto. 2019-09-30. Graded modal logic and counting bisimulation. https://arxiv.org/abs/1910.00039

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