McIver, A;
Morgan, C;
Kaminski, BL;
Katoen, J-P;
(2018)
A New Proof Rule for Almost-Sure Termination.
In:
Proceedings of the ACM on Programming Languages.
(pp. p. 33).
ACM: Los Angeles, California, USA.
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Abstract
An important question for a probabilistic program is whether the probability mass of all its diverging runs is zero, that is that it terminates "almost surely". Proving that can be hard, and this paper presents a new method for doing so; it is expressed in a program logic, and so applies directly to source code. The programs may contain both probabilistic- and demonic choice, and the probabilistic choices may depend on the current state. As do other researchers, we use variant functions (a.k.a. "super-martingales") that are real-valued and probabilistically might decrease on each loop iteration; but our key innovation is that the amount as well as the probability of the decrease are parametric. We prove the soundness of the new rule, indicate where its applicability goes beyond existing rules, and explain its connection to classical results on denumerable (non-demonic) Markov chains.
| Type: | Proceedings paper |
|---|---|
| Title: | A New Proof Rule for Almost-Sure Termination |
| Event: | 45th ACM SIGPLAN Symposium on Principles of Programming Languages (POPL 2018) |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1145/3158121 |
| Publisher version: | https://doi.org/10.1145/3158121 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | cs.PL, cs.PL, cs.LO |
| 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/10089705 |
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