Specifying and Verifying Properties of Space
Ciancia V, Latella D, Loreti M, Massink M
Modal Logics [INFO]Computer Science [cs] Specifying and verifying and reasoning about programs soggetto Model Checking Closure Spaces Spatial logics Topological Spaces Mathematical logic Model logics Software/Program verification Topological spaces
The interplay between process behaviour and spatial aspects of computation has become more and more relevant in Computer Science, especially in the field of collective adaptive systems, but also, more generally, when dealing with systems distributed in physical space. Traditional verification techniques are well suited to analyse the temporal evolution of programs; properties of space are typically not explicitly taken into account. We propose a methodology to verify properties depending upon physical space. We define an appropriate logic, stemming from the tradition of topological interpretations of modal logics, dating back to earlier logicians such as Tarski, where modalities describe neighbourhood. We lift the topological definitions to a more general setting, also encompassing discrete, graph-based structures. We further extend the framework with a spatial until operator, and define an efficient model checking procedure, implemented in a proof-of-concept tool.
Publisher: Springer
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@inproceedings{oai:it.cnr:prodotti:284128,
title = {Specifying and Verifying Properties of Space},
author = {Ciancia V and Latella D and Loreti M and Massink M},
publisher = {Springer},
doi = {10.1007/978-3-662-44602-7_18},
year = {2014}
}
0000-0003-1314-0574
