Satisfiability Checking for (Strategic) Timed CTL Using IMITATOR

Wojciech Penczek, Laure Petrucci, Teofil Sidoruk

2025

Abstract

The satisfiability problem for Timed CTL (TCTL) is well known to be undecidable in general. Therefore, we propose a bounded approach, involving parametric encoding of all possible timed automata up to a given size (with certain restrictions). For this parametric timed automaton and an input formula, we synthesise parameter values using the IMITATOR model checker, and thus obtain a concrete model in which the formula is satisfied (if one exists within the bound). In other words, we define a partial algorithm for TCTL satisfiability checking. Moreover, we show how to represent memoryless strategies of agents with imperfect information via an auxiliary set of IMITATOR parameters, thereby applying our method also to Strategic TCTL (STCTL), the recently proposed extension of TCTL with the strategic modality. We evaluate practical feasibility on three benchmarks, including scalable instances.

Paper Citation

in Harvard Style

Penczek W., Petrucci L. and Sidoruk T. (2025). Satisfiability Checking for (Strategic) Timed CTL Using IMITATOR. In Proceedings of the 17th International Conference on Agents and Artificial Intelligence - Volume 1: ICAART; ISBN 978-989-758-737-5, SciTePress, pages 144-155. DOI: 10.5220/0013257700003890

in Bibtex Style

@conference{icaart25,
author={Wojciech Penczek and Laure Petrucci and Teofil Sidoruk},
title={Satisfiability Checking for (Strategic) Timed CTL Using IMITATOR},
booktitle={Proceedings of the 17th International Conference on Agents and Artificial Intelligence - Volume 1: ICAART},
year={2025},
pages={144-155},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0013257700003890},
isbn={978-989-758-737-5},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 17th International Conference on Agents and Artificial Intelligence - Volume 1: ICAART
TI - Satisfiability Checking for (Strategic) Timed CTL Using IMITATOR
SN - 978-989-758-737-5
AU - Penczek W.
AU - Petrucci L.
AU - Sidoruk T.
PY - 2025
SP - 144
EP - 155
DO - 10.5220/0013257700003890
PB - SciTePress