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arXiv · 2307.09951

Symbolic Semantics for Probabilistic Programs (extended version)

Erik Voogd·Einar Broch Johnsen·Alexandra Silva·Zachary J. Susag·Andrzej Wąsowski
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Abstract

We present a new symbolic execution semantics of probabilistic programs that include observe statements and sampling from continuous distributions. Building on Kozen's seminal work, this symbolic semantics consists of a countable collection of measurable functions, along with a partition of the state space. We use the new semantics to provide a full correctness proof of symbolic execution for probabilistic programs. We also implement this semantics in the tool symProb, and illustrate its use on examples.

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Erik Voogd, Einar Broch Johnsen, Alexandra Silva, Zachary J. Susag, Andrzej Wąsowski. 2023-07-19. Symbolic Semantics for Probabilistic Programs (extended version). https://arxiv.org/abs/2307.09951

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