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arXiv · 2007.01266

Analysing Spatial Properties on Neighbourhood Spaces

Sven Linker·Fabio Papacchini·Michele Sevegnani
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Abstract

We present a bisimulation relation for neighbourhood spaces, a generalisation of topological spaces. We show that this notion, path preserving bisimulation, preserves formulas of the spatial logic SLCS. We then use this preservation result to show that SLCS cannot express standard topological properties such as separation and connectedness. Furthermore, we compare the bisimulation relation with standard modal bisimulation and modal bisimulation with converse on graphs and prove it coincides with the latter.

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Sven Linker, Fabio Papacchini, Michele Sevegnani. 2020-07-02. Analysing Spatial Properties on Neighbourhood Spaces. https://arxiv.org/abs/2007.01266

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