1 Search Results for "Mariegaard, Anders"

Document
DOI: 10.4230/OASIcs.SynCoP.2015.77
Parametric Verification of Weighted Systems

Authors: Peter Christoffersen, Mikkel Hansen, Anders Mariegaard, Julian Trier Ringsmose, Kim Guldstrand Larsen, and Radu Mardare

Published in: OASIcs, Volume 44, 2nd International Workshop on Synthesis of Complex Parameters (SynCoP'15) (2015)

Abstract
This paper addresses the problem of parametric model checking for weighted transition systems. We consider transition systems labelled with linear equations over a set of parameters and we use them to provide semantics for a parametric version of weighted CTL where the until and next operators are themselves indexed with linear equations. The parameters change the model-checking problem into a problem of computing a linear system of inequalities that characterizes the parameters that guarantee the satisfiability. To address this problem, we use parametric dependency graphs (PDGs) and we propose a global update function that yields an assignment to each node in a PDG. For an iterative application of the function, we prove that a fixed point assignment to PDG nodes exists and the set of assignments constitutes a well-quasi ordering, thus ensuring that the fixed point assignment can be found after finitely many iterations. To demonstrate the utility of our technique, we have implemented a prototype tool that computes the constraints on parameters for model checking problems.
Cite as

Peter Christoffersen, Mikkel Hansen, Anders Mariegaard, Julian Trier Ringsmose, Kim Guldstrand Larsen, and Radu Mardare. Parametric Verification of Weighted Systems. In 2nd International Workshop on Synthesis of Complex Parameters (SynCoP'15). Open Access Series in Informatics (OASIcs), Volume 44, pp. 77-90, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)

Copy BibTex To Clipboard

@InProceedings{christoffersen_et_al:OASIcs.SynCoP.2015.77,
  author =	{Christoffersen, Peter and Hansen, Mikkel and Mariegaard, Anders and Ringsmose, Julian Trier and Larsen, Kim Guldstrand and Mardare, Radu},
  title =	{{Parametric Verification of Weighted Systems}},
  booktitle =	{2nd International Workshop on Synthesis of Complex Parameters (SynCoP'15)},
  pages =	{77--90},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-939897-82-8},
  ISSN =	{2190-6807},
  year =	{2015},
  volume =	{44},
  editor =	{Andr\'{e}, \'{E}tienne and Frehse, Goran},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/OASIcs.SynCoP.2015.77},
  URN =		{urn:nbn:de:0030-drops-56115},
  doi =		{10.4230/OASIcs.SynCoP.2015.77},
  annote =	{Keywords: parametric weighted transition systems, parametric weighted CTL, parametric model checking, well-quasi ordering, tool}
}
  • Refine by Author
  • 1 Christoffersen, Peter
  • 1 Hansen, Mikkel
  • 1 Larsen, Kim Guldstrand
  • 1 Mardare, Radu
  • 1 Mariegaard, Anders
  • Show More...

  • Refine by Classification

  • Refine by Keyword
  • 1 parametric model checking
  • 1 parametric weighted CTL
  • 1 parametric weighted transition systems
  • 1 tool
  • 1 well-quasi ordering

  • Refine by Type
  • 1 document

  • Refine by Publication Year
  • 1 2015

Questions / Remarks / Feedback
X

Feedback for Dagstuhl Publishing


Thanks for your feedback!

Feedback submitted

Could not send message

Please try again later or send an E-mail
© 2023-2024 Schloss Dagstuhl – LZI GmbH Imprint Privacy Contact