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arXiv · 1502.07889

Expressiveness of the modal mu-calculus on monotone neighborhood structures

Sebastian Enqvist·Fatemeh Seifan·Yde Venema
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Abstract

We characterize the expressive power of the modal mu-calculus on monotone neighborhood structures, in the style of the Janin-Walukiewicz theorem for the standard modal mu-calculus. For this purpose we consider a monadic second-order logic for monotone neighborhood structures. Our main result shows that the monotone modal mu-calculus corresponds exactly to the fragment of this second-order language that is invariant for neighborhood bisimulations.

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Sebastian Enqvist, Fatemeh Seifan, Yde Venema. 2015-02-27. Expressiveness of the modal mu-calculus on monotone neighborhood structures. https://arxiv.org/abs/1502.07889

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