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arXiv · 2506.08525

Compositional Reasoning for Parametric Probabilistic Automata

Hannah Mertens·Tim Quatmann·Joost-Pieter Katoen
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Abstract

We establish an assume-guarantee (AG) framework for compositional reasoning about multi-objective queries in parametric probabilistic automata (pPA) - an extension to probabilistic automata (PA), where transition probabilities are functions over a finite set of parameters. We lift an existing framework for PA to the pPA setting, incorporating asymmetric, circular, and interleaving proof rules. Our approach enables the verification of a broad spectrum of multi-objective queries for pPA, encompassing probabilistic properties and (parametric) expected total rewards. Additionally, we introduce a rule for reasoning about monotonicity in composed pPAs.

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Hannah Mertens, Tim Quatmann, Joost-Pieter Katoen. 2025-06-10. Compositional Reasoning for Parametric Probabilistic Automata. https://arxiv.org/abs/2506.08525

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