### Resumé

Originalsprog | Engelsk |
---|---|

Titel | Dependable Software Engineering: Theories, Tools, and Applications : Second International Symposium, SETTA 2016, Beijing, China, November 9-11, 2016, Proceedings |

Redaktører | Martin Fränzle, Deepak Kapur, Naijun Zhan |

Forlag | Springer |

Publikationsdato | 2016 |

Sider | 213-228 |

ISBN (Trykt) | 978-3-319-47676-6 |

ISBN (Elektronisk) | 978-3-319-47677-3 |

DOI | |

Status | Udgivet - 2016 |

Begivenhed | 2nd International Symposium on Dependable Software Engineering: Theories, Tools and Applications, SETTA 2016 - Beijing, Kina Varighed: 9 nov. 2016 → 11 nov. 2016 |

### Konference

Konference | 2nd International Symposium on Dependable Software Engineering: Theories, Tools and Applications, SETTA 2016 |
---|---|

Land | Kina |

By | Beijing |

Periode | 09/11/2016 → 11/11/2016 |

Navn | Lecture Notes in Computer Science |
---|---|

Vol/bind | 9984 |

ISSN | 0302-9743 |

### Fingerprint

### Citer dette

*Dependable Software Engineering: Theories, Tools, and Applications: Second International Symposium, SETTA 2016, Beijing, China, November 9-11, 2016, Proceedings*(s. 213-228). Springer. Lecture Notes in Computer Science, Bind. 9984 https://doi.org/10.1007/978-3-319-47677-3_14

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*Dependable Software Engineering: Theories, Tools, and Applications: Second International Symposium, SETTA 2016, Beijing, China, November 9-11, 2016, Proceedings.*Springer, Lecture Notes in Computer Science, bind 9984, s. 213-228, Beijing, Kina, 09/11/2016. https://doi.org/10.1007/978-3-319-47677-3_14

**A Complete Approximation Theory for Weighted Transition Systems.** / Hansen, Mikkel; Larsen, Kim Guldstrand; Mardare, Radu Iulian; Pedersen, Mathias Ruggaard; Xue, Bingtian.

Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Konferenceartikel i proceeding › Forskning › peer review

TY - GEN

T1 - A Complete Approximation Theory for Weighted Transition Systems

AU - Hansen, Mikkel

AU - Larsen, Kim Guldstrand

AU - Mardare, Radu Iulian

AU - Pedersen, Mathias Ruggaard

AU - Xue, Bingtian

PY - 2016

Y1 - 2016

N2 - We propose a way of reasoning about minimal and maximal values of the weights of transitions in a weighted transition system (WTS). This perspective induces a notion of bisimulation that is coarser than the classic bisimulation: it relates states that exhibit transitions to bisimulation classes with the weights within the same boundaries. We propose a customized modal logic that expresses these numeric boundaries for transition weights by means of particular modalities. We prove that our logic is invariant under the proposed notion of bisimulation. We show that the logic enjoys the finite model property which allows us to prove the decidability of satisfiability and provide an algorithm for satisfiability checking. Last but not least, we identify a complete axiomatization for this logic, thus solving a long-standing open problem in this field. All our results are proven for a class of WTSs without the image-finiteness restriction, a fact that makes this development general and robust.

AB - We propose a way of reasoning about minimal and maximal values of the weights of transitions in a weighted transition system (WTS). This perspective induces a notion of bisimulation that is coarser than the classic bisimulation: it relates states that exhibit transitions to bisimulation classes with the weights within the same boundaries. We propose a customized modal logic that expresses these numeric boundaries for transition weights by means of particular modalities. We prove that our logic is invariant under the proposed notion of bisimulation. We show that the logic enjoys the finite model property which allows us to prove the decidability of satisfiability and provide an algorithm for satisfiability checking. Last but not least, we identify a complete axiomatization for this logic, thus solving a long-standing open problem in this field. All our results are proven for a class of WTSs without the image-finiteness restriction, a fact that makes this development general and robust.

U2 - 10.1007/978-3-319-47677-3_14

DO - 10.1007/978-3-319-47677-3_14

M3 - Article in proceeding

SN - 978-3-319-47676-6

T3 - Lecture Notes in Computer Science

SP - 213

EP - 228

BT - Dependable Software Engineering: Theories, Tools, and Applications

A2 - Fränzle, Martin

A2 - Kapur, Deepak

A2 - Zhan, Naijun

PB - Springer

ER -