Symbolic Semantics for Probabilistic Programs (extended version)

July 19, 2023 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Erik Voogd, Einar Broch Johnsen, Alexandra Silva, Zachary J. Susag, Andrzej WΔ…sowski arXiv ID 2307.09951 Category cs.PL: Programming Languages Citations 0 Venue arXiv.org Last Checked 4 months ago
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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