Title: Relative time rates in dynamic timed automata

Authors: Saïd Layadi; Ilham Kitouni; Nabil Belala; Djamel-Eddine Saïdouni

Addresses: MISC Laboratory, Constantine 2 University, 25000, Constantine, Algeria ' MISC Laboratory, Constantine 2 University, 25000, Constantine, Algeria ' MISC Laboratory, Constantine 2 University, 25000, Constantine, Algeria ' MISC Laboratory, Constantine 2 University, 25000, Constantine, Algeria

Abstract: The verification of dynamic real-time systems, such as ad-hoc networks and ambient systems needs formal approaches and frameworks enabling tool construction. In this paper, the decidability question is addressed on a class of timed automata, the dynamic timed automata with relative time rates model (rd-TA). We introduce rd-TA as a simple extension of standard timed automata in which any process may spawn new processes. In this model, the distributed timed systems are formed by a set of dynamic timed automata. Each automaton is characterised by a set of local clocks that evolve at different but relative rate of the clocks of the other components. The main contribution is the consideration of slope parameter (which is the ratio of clock rates). This parameter helps us to explore the semantics based on region abstraction for decidability assessment and proof.

Keywords: distributed real-time systems; dynamic timed automata; relative clock speeds; decidability; mobile ad hoc networks; MANETs; ambient systems; semantics; region abstraction.

DOI: 10.1504/IJCNDS.2016.080588

International Journal of Communication Networks and Distributed Systems, 2016 Vol.17 No.4, pp.412 - 432

Received: 15 May 2015
Accepted: 17 May 2016
Published online: 30 Nov 2016 *

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