Istituto di Scienza e Tecnologie dell'Informazione     
Ciancia V., Latella D., Loreti M., Massink M. Specifying and verifying properties of space. In: TCS 2014 - Theoretical Computer Science. 8th IFIP TC 1/WG 2.2 International Conference (Rome, Italy, 1-3 September 2014). Proceedings, pp. 222 - 235. Josep Diaz, Ivan Lanese, Davide Sangiorgi (eds.). (Lecture Notes in Computer Science, vol. 8705). Springer, 2014.
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; however, 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 the more general setting of closure spaces, 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.
URL: http://link.springer.com/chapter/10.1007%2F978-3-662-44602-7_18
DOI: 10.1007/978-3-662-44602-7_18
Subject Modal Logics
Model Checking
Topological Spaces
Closure Spaces
F.4.1 Mathematical Logic
D.2.4 Software/Program Verification

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