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arXiv · 2507.15913

An Adequate While-Language for Stochastic Hybrid Computation

Renato Neves·José Proença·Juliana Souza
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Abstract

We introduce a language for formally reasoning about programs that combine differential constructs with probabilistic ones. The language harbours, for example, such systems as adaptive cruise controllers, continuous-time random walks, and physical processes involving multiple collisions, like in Einstein's Brownian motion. We furnish the language with an operational semantics and use it to implement a corresponding interpreter. We also present a complementary, denotational semantics and establish an adequacy theorem between both cases.

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Renato Neves, José Proença, Juliana Souza. 2025-07-21. An Adequate While-Language for Stochastic Hybrid Computation. https://arxiv.org/abs/2507.15913

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