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- Christel Baier, Boudewijn R. Haverkort, Holger Hermanns, Joost-Pieter Katoen
- IEEE Trans. Software Eng.
- 2003

Continuous-time Markov chains (CTMCs) have been widely used to determine system performance and dependability characteristics. Their analysis most often concerns the computation of steady-state andâ€¦ (More)

- Holger Hermanns
- Lecture Notes in Computer Science
- 2002

ion obviously has no impact on Markovian transitions. It is thus easily adapted from Definition 2.1.4. Definition 4.2.3. Let P be an IMC with state space SP . Abstraction of actions a1 . . . an in Pâ€¦ (More)

- Christel Baier, Joost-Pieter Katoen, Holger Hermanns
- CONCUR
- 1999

This paper presents a symbolic model checking algorithm for continuous-time Markov chains for an extension of the continuous stochastic logic CSL of Aziz et al 1]. The considered logic contains aâ€¦ (More)

- Christel Baier, Holger Hermanns
- CAV
- 1997

Bisimulations that abstract from internal computation have proven to be useful for verification of compositionally defined transition systems. In the literature of probabilistic extensions of suchâ€¦ (More)

The Markov Reward Model Checker (MRMC) is a software tool for verifying properties over probabilistic models. It supports PCTL and CSL model checking, and their reward extensions. Distinguishingâ€¦ (More)

- Ernst Moritz Hahn, Holger Hermanns, Lijun Zhang
- International Journal on Software Tools forâ€¦
- 2010

Given a parametric Markov model, we consider the problem of computing the rational function expressing the probability of reaching a given set of states. To attack this principal problem, Daws hasâ€¦ (More)

The stochastic process algebra MTIPP has emerged from research in the field of process descriptions for random behaviour through time. This calculus has recently been shown to allow the calculationâ€¦ (More)

- Christel Baier, Joost-Pieter Katoen, Holger Hermanns, Verena Wolf
- Inf. Comput.
- 2005

This paper presents various semantics in the branching-time spectrum of discrete-time and continuous-time Markov chains (DTMCs and CTMCs). Strong and weak bisimulation equivalence and simulationâ€¦ (More)

- Suzana Andova, Holger Hermanns, Joost-Pieter Katoen
- FORMATS
- 2003

This paper presents a model-checking approach for analyzing discrete-time Markov reward models. For this purpose, the temporal logic probabilistic CTL is extended with reward constraints. This allowsâ€¦ (More)

- Holger Hermanns, BjÃ¶rn Wachter, Lijun Zhang
- CAV
- 2008

Counterexample-guided abstraction refinement (CEGAR) has been en vogue for the automatic verification of very large systems in the past years. When trying to apply CEGAR to the verification ofâ€¦ (More)