English

Model Checking CSL for Markov Population Models

Numerical Analysis 2014-06-10 v2 Logic in Computer Science

Abstract

Markov population models (MPMs) are a widely used modelling formalism in the area of computational biology and related areas. The semantics of a MPM is an infinite-state continuous-time Markov chain. In this paper, we use the established continuous stochastic logic (CSL) to express properties of Markov population models. This allows us to express important measures of biological systems, such as probabilistic reachability, survivability, oscillations, switching times between attractor regions, and various others. Because of the infinite state space, available analysis techniques only apply to a very restricted subset of CSL properties. We present a full algorithm for model checking CSL for MPMs, and provide experimental evidence showing that our method is effective.

Keywords

Cite

@article{arxiv.1111.4385,
  title  = {Model Checking CSL for Markov Population Models},
  author = {David Spieler and Ernst Moritz Hahn and Lijun Zhang},
  journal= {arXiv preprint arXiv:1111.4385},
  year   = {2014}
}

Comments

In Proceedings QAPL 2014, arXiv:1406.1567

R2 v1 2026-06-21T19:38:08.798Z