A Tool-Supported Approach for Modeling and Verifying Hybrid Systems using EVENT-B and the Differential Equation Solver SAGEMATH

Meryem Afendi, Amel Mammar, Régine Laleau

2023

Abstract

The common mathematical model for cyber-physical systems is that of hybrid systems that enable combining both discrete and continuous behaviors represented by differential equations. In this paper, we introduce a formal approach, using EVENT-B and its refinement strategy, for specifying and verifying cyber-physical systems whose behavior is described by ordinary differential equations. To deal with the resolution of ordinary differential equations in Event-B, the approach is based on interfacing the differential equation solver SAGEMATH (System for Algebra and Geometry Experimentation) with the RODIN tool, a platform for EVENT-B projects development. For this purpose, we modeled and implemented the interface to the solver in EVENT-B using a RODIN plugin. This enables to reason on the EVENT-B specification and prove safety properties. The proposed approach was successfully applied on a frequently used cyber-physical system case studies.

Paper Citation

in Harvard Style

Afendi M., Mammar A. and Laleau R. (2023). A Tool-Supported Approach for Modeling and Verifying Hybrid Systems using EVENT-B and the Differential Equation Solver SAGEMATH. In Proceedings of the 18th International Conference on Software Technologies - Volume 1: ICSOFT; ISBN 978-989-758-665-1, SciTePress, pages 71-83. DOI: 10.5220/0012080900003538

in Bibtex Style

@conference{icsoft23,
author={Meryem Afendi and Amel Mammar and Régine Laleau},
title={A Tool-Supported Approach for Modeling and Verifying Hybrid Systems using EVENT-B and the Differential Equation Solver SAGEMATH},
booktitle={Proceedings of the 18th International Conference on Software Technologies - Volume 1: ICSOFT},
year={2023},
pages={71-83},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0012080900003538},
isbn={978-989-758-665-1},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 18th International Conference on Software Technologies - Volume 1: ICSOFT
TI - A Tool-Supported Approach for Modeling and Verifying Hybrid Systems using EVENT-B and the Differential Equation Solver SAGEMATH
SN - 978-989-758-665-1
AU - Afendi M.
AU - Mammar A.
AU - Laleau R.
PY - 2023
SP - 71
EP - 83
DO - 10.5220/0012080900003538
PB - SciTePress