International Conference on Formal Modeling and Analysis of Timed Systems

FORMATS 2015: Formal Modeling and Analysis of Timed Systems pp 27-43 | Cite as

Language Preservation Problems in Parametric Timed Automata

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9268)

Abstract

Parametric timed automata (PTA) are a powerful formalism to model and reason about concurrent systems with some unknown timing delays. In this paper, we address the (untimed) language- and trace-preservation problems: given a reference parameter valuation, does there exist another parameter valuation with the same untimed language (or trace)? We show that these problems are undecidable both for general PTA, and even for the restricted class of L/U-PTA. On the other hand, we exhibit decidable subclasses: 1-clock PTA, and 1-parameter deterministic L-PTA and U-PTA.

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Université Paris 13, Sorbonne Paris Cité, LIPN, CNRSVilletaneuseFrance
  2. 2.LSV, CNRS and ENS CachanCachanFrance

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