Abstract
We present a formal logic for stating properties of systems expressed in the hybrid π-calculus, or Φ-calculus. It is a very expressive logic, subsuming many standard logics like CTL and the modal μ-calculus. Because the π-calculus and the Φ-calculus allow passing of names to achieve reconfigurability of hybrid systems, and because we must abstract over these names, the logic (a hybrid extension of a logic by Caires and Cardelli for the π-calculus) uses a new method of defining abstractions – FM set theory – for expressing syntax and semantics of Φ-calculus models, and for expressing the semantics of spatial logic. We provide several new constructions for this logic, including an assume-guarantee principle, and illustrate many of the semantic features using an extended example of a robotic parts feeder and parts carrier in a minifactory.
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Rounds, W.C. (2004). A Spatial Logic for the Hybrid π-Calculus. In: Alur, R., Pappas, G.J. (eds) Hybrid Systems: Computation and Control. HSCC 2004. Lecture Notes in Computer Science, vol 2993. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24743-2_34
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DOI: https://doi.org/10.1007/978-3-540-24743-2_34
Publisher Name: Springer, Berlin, Heidelberg
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