Document - Back-and-forth in space: on logics and bisimilarity in closure spaces

2022

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Back-and-forth in space: on logics and bisimilarity in closure spaces

Ciancia V, Latella D, Massink M, De Vink Ep

Closure spaces Topological spaces Spatial logics Spatial bisimilarities Stuttering equivalence

We adapt the standard notion of bisimilarity for topological models to closure models and refine it for quasi-discrete closure models. We also define an additional, weaker notion of bisimilarity that is based on paths in space and expresses a form of conditional reachability in a way that is reminiscent of Stuttering Equivalence on transition systems. For each bisimilarity we provide a characterisation with respect to a suitable spatial logic.

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@inbook{oai:it.cnr:prodotti:470783,
	title = {Back-and-forth in space: on logics and bisimilarity in closure spaces},
	author = {Ciancia V and Latella D and Massink M and De Vink Ep},
	doi = {10.1007/978-3-031-15629-8_6},
	year = {2022}
}