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Dynamic Exploration of Multi-agent Systems with Periodic Timed Tasks

Arcile Johan, Devillers Raymond, Klaudel Hanna

Fundamenta Informaticae

2020

Vol. 175, nr 1-4

59--95

We formalise and study multi-agent timed models MAPTs (Multi-Agent with Periodic timed Tasks ), where each agent is associated with a regular timed schema upon which all possible actions of the agent rely. MAPTs allow for an accelerated semantics and a layered structure of the state space, so that it is possible to explore the latter dynamically and use heuristics to greatly reduce the computation time needed to address reachability problems. We use an available tool for the Petri net implementation of MAPTs, to explore the state space of autonomous vehicle systems. Then, we compare this exploration with timed automata-based approaches in terms of expressiveness of available queries and computation time.

From Box Algebra to Interval Temporal Logic

Klaudel Hanna, Koutny Maciej, Duan Zhenhua, Moszkowski Ben

Fundamenta Informaticae

2019

Vol. 167, nr 4

323--354

In this paper, we further develop a recently introduced semantic link between temporal logics and Petri nets. We focus on two specific formalisms, Interval Temporal Logic (ITL) and Box Algebra (BA), which are closely related by their compositional approach to constructing system descriptions. The overall goal of our investigation is to translate Petri nets into behaviourally equivalent logical formulas. As a result, the analysis of system properties can be carried out using either of the two formalisms, exploiting their respective strengths and powerful tool support. The contribution of this paper is twofold. First, we extend the existing translation from BA to ITL, by removing restrictions concerning the way control flow of concurrent system is modelled, and by allowing a fully general synchronisation operator. Second, we strengthen the notion of equivalence between a Petri net and the corresponding logical formula by proving such an equivalence at the level of transition-based executions of Petri nets rather than just by looking at their labels. We also show that the complexity of the proposed translation compares favourably with the complexity of the translation from BA expressions to Petri nets.