### Abstract

Original language | English |
---|---|

Title of host publication | Proceedings of the Eighth International Workshop on Performability Modeling of Computer and Communication Systems (PMCCS-8) |

Editors | L. Cloth |

Place of Publication | Enschede |

Publisher | Centre for Telematics and Information Technology (CTIT) |

Pages | 50-56 |

Number of pages | 7 |

Publication status | Published - Sep 2007 |

Event | 8th International Workshop on Performability Modeling of Computer and Communication Systems, PMCCS 2007 - Edinburgh, United Kingdom Duration: 20 Sep 2007 → 21 Sep 2007 Conference number: 8 |

### Publication series

Name | CTIT Workshop Proceedings |
---|---|

Publisher | Centre for Telematics and Information Technology, University of Twente |

ISSN (Print) | 1574-0846 |

ISSN (Electronic) | 0929-0672 |

### Workshop

Workshop | 8th International Workshop on Performability Modeling of Computer and Communication Systems, PMCCS 2007 |
---|---|

Abbreviated title | PMCCS |

Country | United Kingdom |

City | Edinburgh |

Period | 20/09/07 → 21/09/07 |

### Fingerprint

### Keywords

- EWI-10988
- METIS-241873
- IR-64323

### Cite this

*Proceedings of the Eighth International Workshop on Performability Modeling of Computer and Communication Systems (PMCCS-8)*(pp. 50-56). (CTIT Workshop Proceedings). Enschede: Centre for Telematics and Information Technology (CTIT).

}

*Proceedings of the Eighth International Workshop on Performability Modeling of Computer and Communication Systems (PMCCS-8).*CTIT Workshop Proceedings, Centre for Telematics and Information Technology (CTIT), Enschede, pp. 50-56, 8th International Workshop on Performability Modeling of Computer and Communication Systems, PMCCS 2007, Edinburgh, United Kingdom, 20/09/07.

**GCSRL - A Logic for Stochastic Reward Models with Timed and Untimed Behaviour.** / Kuntz, Matthias; Haverkort, Boudewijn R.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - GCSRL - A Logic for Stochastic Reward Models with Timed and Untimed Behaviour

AU - Kuntz, Matthias

AU - Haverkort, Boudewijn R.

PY - 2007/9

Y1 - 2007/9

N2 - In this paper we define the logic GCSRL (generalised continuous stochastic reward logic) that provides means to reason about systems that have states which sojourn times are either greater zero, in which case this sojourn time is exponentially distributed (tangible states), or zero (vanishing states). In case of generalised stochastic Petri nets (GSPNs) and stochastic process algebras it turned out that these vanishing states can be very useful when it comes to define system behaviour. In the same way these states are useful for defining system properties using stochastic logics. We extend both the semantic model and the semantics of CSRL such that it allows to attach impulse rewards to transitions emanating from vanishing states. We show by means of a small example how model checking GCSRL formulae works.

AB - In this paper we define the logic GCSRL (generalised continuous stochastic reward logic) that provides means to reason about systems that have states which sojourn times are either greater zero, in which case this sojourn time is exponentially distributed (tangible states), or zero (vanishing states). In case of generalised stochastic Petri nets (GSPNs) and stochastic process algebras it turned out that these vanishing states can be very useful when it comes to define system behaviour. In the same way these states are useful for defining system properties using stochastic logics. We extend both the semantic model and the semantics of CSRL such that it allows to attach impulse rewards to transitions emanating from vanishing states. We show by means of a small example how model checking GCSRL formulae works.

KW - EWI-10988

KW - METIS-241873

KW - IR-64323

M3 - Conference contribution

T3 - CTIT Workshop Proceedings

SP - 50

EP - 56

BT - Proceedings of the Eighth International Workshop on Performability Modeling of Computer and Communication Systems (PMCCS-8)

A2 - Cloth, L.

PB - Centre for Telematics and Information Technology (CTIT)

CY - Enschede

ER -