Istituto di Scienza e Tecnologie dell'Informazione     
Ciancia V., Latella D., Loreti M., Massink M. Specifying and verifying properties of space. Extended Version. Logiche spaziali interpretate su spazi di chiusura e loro algoritmi di model checking. Technical report, 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://milner.inf.ed.ac.uk/wiki/files/download/f455fb2b-fda9-48d2-8496-65ae06bef4b2/TR-QC-06-2014-Specifying_and_verifying_properties_of_space-Ciancia-Latella-Loreti-Massink.pdf
Subject Modal Logics
Model Checking
Topological Spaces
Closure Spaces
F.4.1 Mathematical Logic
D.2.4 Software/Program Verification
03B45 Modal logic
68Q60 Specification and verification
54A05 Topological spaces and generalizations

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