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Reasoning about Recursive Probabilistic Programs

Olmedo, F; Kaminski, BL; Katoen, J-P; Matheja, C; (2016) Reasoning about Recursive Probabilistic Programs. In: Proceedings of the 31st Annual ACM-IEEE Symposium on Logic in Computer Science (LICS). (pp. pp. 672-681). ACM: New York, NY, USA. Green open access

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Abstract

This paper presents a wp--style calculus for obtaining expectations on the outcomes of (mutually) recursive probabilistic programs. We provide several proof rules to derive one-- and two--sided bounds for such expectations, and show the soundness of our wp--calculus with respect to a probabilistic pushdown automaton semantics. We also give a wp--style calculus for obtaining bounds on the expected runtime of recursive programs that can be used to determine the (possibly infinite) time until termination of such programs.

Type: Proceedings paper
Title: Reasoning about Recursive Probabilistic Programs
Event: 31st Annual ACM-IEEE Symposium on Logic in Computer Science (LICS)
Location: New York City, NY
Dates: 05 July 2016 - 08 July 2016
Open access status: An open access version is available from UCL Discovery
DOI: 10.1145/2933575.2935317
Publisher version: https://doi.org/10.1145/2933575.2935317
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: Science & Technology, Technology, Computer Science, Theory & Methods, Logic, Computer Science, Science & Technology - Other Topics, recursion, probabilisitic programming, program verification, weakest pre-condition calculus, expected runtime, SEMANTICS, CALCULUS
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/10089694
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