English

Modelling, Reduction and Analysis of Markov Automata (extended version)

Logic in Computer Science 2013-05-31 v1 Data Structures and Algorithms Formal Languages and Automata Theory

Abstract

Markov automata (MA) constitute an expressive continuous-time compositional modelling formalism. They appear as semantic backbones for engineering frameworks including dynamic fault trees, Generalised Stochastic Petri Nets, and AADL. Their expressive power has thus far precluded them from effective analysis by probabilistic (and statistical) model checkers, stochastic game solvers, or analysis tools for Petri net-like formalisms. This paper presents the foundations and underlying algorithms for efficient MA modelling, reduction using static analysis, and most importantly, quantitative analysis. We also discuss implementation pragmatics of supporting tools and present several case studies demonstrating feasibility and usability of MA in practice.

Keywords

Cite

@article{arxiv.1305.7050,
  title  = {Modelling, Reduction and Analysis of Markov Automata (extended version)},
  author = {Dennis Guck and Hassan Hatefi and Holger Hermanns and Joost-Pieter Katoen and Mark Timmer},
  journal= {arXiv preprint arXiv:1305.7050},
  year   = {2013}
}

Comments

Technical report accompanying the QEST 2013 submission

R2 v1 2026-06-22T00:25:05.629Z