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arXiv · 2302.06082

Lower Bounds for Possibly Divergent Probabilistic Programs

Shenghua Feng·Mingshuai Chen·Han Su·Benjamin Lucien Kaminski·Joost-Pieter Katoen·Naijun Zhan
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Abstract

We present a new proof rule for verifying lower bounds on quantities of probabilistic programs. Our proof rule is not confined to almost-surely terminating programs -- as is the case for existing rules -- and can be used to establish non-trivial lower bounds on, e.g., termination probabilities and expected values, for possibly divergent probabilistic loops, e.g., the well-known three-dimensional random walk on a lattice.

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Shenghua Feng, Mingshuai Chen, Han Su, Benjamin Lucien Kaminski, Joost-Pieter Katoen, Naijun Zhan. 2023-02-13. Lower Bounds for Possibly Divergent Probabilistic Programs. https://arxiv.org/abs/2302.06082

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