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Specifying and Verifying Properties of Space

  • Vincenzo Ciancia
  • Diego Latella
  • Michele Loreti
  • Mieke Massink
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8705)

Abstract

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.

Keywords

Topological Space Model Check Modal Logic Closure Operator Closure Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© IFIP International Federation for Information Processing 2014

Authors and Affiliations

  • Vincenzo Ciancia
    • 1
  • Diego Latella
    • 1
  • Michele Loreti
    • 2
  • Mieke Massink
    • 1
  1. 1.Istituto di Scienza e Tecnologie dell’Informazione ‘A. Faedo’, CNRItaly
  2. 2.Università di FirenzeItaly

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