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Model Checking Linear Temporal Properties on Polyhedral Systems

Authors Massimo Benerecetti , Marco Faella , Fabio Mogavero

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Author Details

Massimo Benerecetti
  • Università di Napoli Federico II, Italy
Marco Faella
  • Università di Napoli Federico II, Italy
Fabio Mogavero
  • Università di Napoli Federico II, Italy

Funding

PNRR MUR project PE0000013-FAIR and Indam GNCS 2024 project "Certificazione, Monitoraggio, ed Interpretabilità in Sistemi di Intelligenza Artificiale". The authors are members of the Gruppo Nazionale Calcolo Scientifico-Istituto Nazionale di Alta Matematica (GNCS-INdAM).

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Massimo Benerecetti, Marco Faella, and Fabio Mogavero. Model Checking Linear Temporal Properties on Polyhedral Systems. In 31st International Symposium on Temporal Representation and Reasoning (TIME 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 318, pp. 19:1-19:23, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024) https://doi.org/10.4230/LIPIcs.TIME.2024.19

Abstract

We study the problem of model checking linear temporal logic formulae on finite trajectories generated by polyhedral differential inclusions, thus enriching the landscape of models where such specifications can be effectively verified. Each model in the class comprises a static and a dynamic component. The static component features a finite set of observables represented by (non-necessarily convex) polyhedra. The dynamic one is given by a convex polyhedron constraining the dynamics of the system, by specifying the possible slopes of the trajectories in each time instant. We devise an exact algorithm that computes a symbolic representation of the region of points that existentially satisfy a given formula φ, i.e., the points from which there exists a trajectory satisfying φ.

Subject Classification

ACM Subject Classification
  • Theory of computation → Modal and temporal logics
Keywords
  • Model Checking
  • Real-Time Systems
  • LTLf
  • RTLf

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