Batz, K;
Chen, M;
Kaminski, BL;
Katoen, J-P;
Matheja, C;
Schröer, P;
(2021)
Latticed k-Induction with an Application to Probabilistic Programs.
In:
Computer Aided Verification.
(pp. pp. 524-549).
Springer: Cham, Switzerland.
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Abstract
We revisit two well-established verification techniques, k-induction and bounded model checking (BMC), in the more general setting of fixed point theory over complete lattices. Our main theoretical contribution is latticed k-induction, which (i) generalizes classical k-induction for verifying transition systems, (ii) generalizes Park induction for bounding fixed points of monotonic maps on complete lattices, and (iii) extends from naturals k to transfinite ordinals κ, thus yielding κ-induction. The lattice-theoretic understanding of k-induction and BMC enables us to apply both techniques to the fully automatic verification of infinitestate probabilistic programs. Our prototypical implementation manages to automatically verify non-trivial specifications for probabilistic programs taken from the literature that—using existing techniques—cannot be verified without synthesizing a stronger inductive invariant first.
| Type: | Proceedings paper |
|---|---|
| Title: | Latticed k-Induction with an Application to Probabilistic Programs |
| Event: | International Conference on Computer Aided Verification |
| ISBN-13: | 978-3-030-81687-2 |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/978-3-030-81688-9_25 |
| Publisher version: | https://doi.org/10.1007/978-3-030-81688-9_25 |
| Language: | English |
| Additional information: | This chapter is licensed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made. The images or other third party material in this chapter are included in the chapter’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the chapter’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10132485 |
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