Home > Research > Exposés > Arrival Curves for Real-Time Calculus: the Causality Problem and its (...)

Arrival Curves for Real-Time Calculus: the Causality Problem and its Solutions

Presented at TACAS 2010

Wednesday 18 August 2010

Publications HAL Identifiant hal-00442257
titre
Arrival Curves for Real-Time Calculus: the Causality Problem and its Solutions
auteur
Matthieu Moy, Karine Altisen
article
Javier Esparza and Rupak Majumdar. Tools and Algorithms for the Construction and Analysis of Systems, Mar 2010, Paphos, Cyprus. Springer, pp.358, 2010, LNCS
resume
The Real-Time Calculus (RTC) is a framework to analyze heterogeneous real-time systems that process event streams of data. The streams are characterized by pairs of curves, called arrival curves, that express upper and lower bounds on the number of events that may arrive over any specified time interval. System properties may then be computed using algebraic techniques in a compositional way. A well-known limitation of RTC is that it cannot model systems with states and recent works studied how to interface RTC curves with state-based models. Doing so, while trying, for example to generate a stream of events that satisfies some given pair of curves, we faced a causality problem: it can be the case that, once having generated a finite prefix of an event stream, the generator deadlocks, since no extension of the prefix can satisfy the curves anymore. When trying to express the property of the curves with state-based models, one may face the same problem. This paper formally defines the problem on arrival curves, and gives algebraic ways to characterize causal pairs of curves, i.e. curves for which the problem cannot occur. Then, we provide algorithms to compute a causal pair of curves equivalent to a given curve, in several models. These algorithms provide a canonical representation for a pair of curves, which is the best pair of curves among the curves equivalent to the ones they take as input.
typdoc
Conference papers
Accès au texte intégral et bibtex
https://hal.archives-ouvertes.fr/hal-00442257/file/conf-paper.pdf BibTex

Attached documents

  • 18 August 2010
    info document : PDF
    480.3 kb

Valid XHTML 1.0 Transitional
SPIP | | Site Map | Follow site activity RSS 2.0
Graphic design (c) styleshout under License Creative Commons Attribution 2.5 License