Reasoning about Recursive Probabilistic Programs

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 p...

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Vydáno v:Proceedings of the 31st Annual ACM/IEEE Symposium on Logic in Computer Science s. 672 - 681
Hlavní autoři: Olmedo, Federico, Kaminski, Benjamin Lucien, Katoen, Joost-Pieter, Matheja, Christoph
Médium: Konferenční příspěvek
Jazyk:angličtina
Vydáno: New York, NY, USA ACM 05.07.2016
Edice:ACM Conferences
Témata:
Theory of computation > Logic
Theory of computation > Semantics and reasoning
Theory of computation > Semantics and reasoning > Program reasoning
expected runtime
probabilisitic programming
program verification
weakest pre > condition calculus
recursion
ISBN:9781450343916, 1450343910
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Shrnutí: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.
ISBN:9781450343916
1450343910
DOI:10.1145/2933575.2935317