Publikation:

Exploiting Adjoints in Property Directed Reachability Analysis

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2023

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Kori, Mayuko
Bonchi, Filippo
Bruni, Roberto
Gori, Roberta
Hasuo, Ichiro

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ENEA, Constantin, Hrsg., Akash LAL, Hrsg.. Computer Aided Verification : 35th International Conference, CAV 2023, Proceedings, Part II. Cham: Springer, 2023, S. 41-63. Lecture Notes in Computer Science (LNCS). 13965. ISBN 978-3-031-37702-0. Verfügbar unter: doi: 10.1007/978-3-031-37703-7_3

Zusammenfassung

We formulate, in lattice-theoretic terms, two novel algorithms inspired by Bradley’s property directed reachability algorithm. For finding safe invariants or counterexamples, the first algorithm exploits over-approximations of both forward and backward transition relations, expressed abstractly by the notion of adjoints. In the absence of adjoints, one can use the second algorithm, which exploits lower sets and their principals. As a notable example of application, we consider quantitative reachability problems for Markov Decision Processes.

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Computer Aided Verification : 35th International Conference, CAV 2023, 17. Juli 2023 - 22. Juli 2023, Paris, France
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ISO 690KORI, Mayuko, Flavio ASCARI, Filippo BONCHI, Roberto BRUNI, Roberta GORI, Ichiro HASUO, 2023. Exploiting Adjoints in Property Directed Reachability Analysis. Computer Aided Verification : 35th International Conference, CAV 2023. Paris, France, 17. Juli 2023 - 22. Juli 2023. In: ENEA, Constantin, Hrsg., Akash LAL, Hrsg.. Computer Aided Verification : 35th International Conference, CAV 2023, Proceedings, Part II. Cham: Springer, 2023, S. 41-63. Lecture Notes in Computer Science (LNCS). 13965. ISBN 978-3-031-37702-0. Verfügbar unter: doi: 10.1007/978-3-031-37703-7_3
BibTex
@inproceedings{Kori2023-07Explo-76133,
  title={Exploiting Adjoints in Property Directed Reachability Analysis},
  year={2023},
  doi={10.1007/978-3-031-37703-7_3},
  number={13965},
  isbn={978-3-031-37702-0},
  address={Cham},
  publisher={Springer},
  series={Lecture Notes in Computer Science (LNCS)},
  booktitle={Computer Aided Verification : 35th International Conference, CAV 2023, Proceedings, Part II},
  pages={41--63},
  editor={Enea, Constantin and Lal, Akash},
  author={Kori, Mayuko and Ascari, Flavio and Bonchi, Filippo and Bruni, Roberto and Gori, Roberta and Hasuo, Ichiro}
}
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