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SpaceEx Hybrid Models with LTL Properties

10 pagesPublished: July 3, 2026

Abstract

The automated verification of hybrid systems has traditionally focused on safety and reachability properties. However, verifying liveness and general Linear Temporal Logic (LTL) properties is essential in many applications. This paper proposes a new benchmark suite for the ARCH competition, utilizing an LTL-enhanced extension of the standard SpaceEx model format. Our suite consists of several hybrid automata featuring linear and non-linear dynamics, ranging from 2D scalable models to 10D vehicle drivetrain systems. We provide a detailed formalization of a car overtaking maneuver to demonstrate how temporal specifications are encoded directly within the model files. To establish a baseline for the competition, we present experimental results obtained using the VeriLHyS tool. These benchmarks are intended to serve as a foundation for cross-tool comparisons and to foster the development of LTL support in other tools.

Keyphrases: automated verification, hybrid systems, ltl

In: Goran Frehse, Matthias Althoff and Luca Geretti (editors). Proceedings of 13th Int. Workshop on Applied Verification for Continuous and Hybrid Systems, vol 110, pages 1-10.

BibTeX entry
@inproceedings{ARCH26:SpaceEx_Hybrid_Models_with,
  author    = {Ludovico Battista and Stefano Tonetta and Gianni Zampedri},
  title     = {SpaceEx Hybrid Models with LTL Properties},
  booktitle = {Proceedings of 13th Int. Workshop on Applied Verification for Continuous and Hybrid Systems},
  editor    = {Goran Frehse and Matthias Althoff and Luca Geretti},
  series    = {EPiC Series in Computing},
  volume    = {110},
  publisher = {EasyChair},
  bibsource = {EasyChair, https://easychair.org},
  issn      = {2398-7340},
  url       = {/publications/paper/nP2j},
  doi       = {10.29007/d41t},
  pages     = {1-10},
  year      = {2026}}
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