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arXiv · 1603.02922

Reasoning about Recursive Probabilistic Programs

Federico Olmedo·Benjamin Lucien Kaminski·Joost-Pieter Katoen·Christoph Matheja
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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.

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Federico Olmedo, Benjamin Lucien Kaminski, Joost-Pieter Katoen, Christoph Matheja. 2016-03-09. Reasoning about Recursive Probabilistic Programs. https://arxiv.org/abs/1603.02922

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