Towards a Proof System for Probabilistic Dynamic Logic
Abstract
Whereas the semantics of probabilistic languages has been extensively studied, specification languages for their properties have received less attention -- with the notable exception of recent and on-going efforts by Joost-Pieter Katoen and collaborators. In this paper, we revisit probabilistic dynamic logic (pDL), a specification logic for programs in the probabilistic guarded command language (pGCL) of McIver and Morgan. Building on dynamic logic, pDL can express both first-order state properties and probabilistic reachability properties. In this paper, we report on work in progress towards a deductive proof system for pDL. This proof system, in line with verification systems for dynamic logic such as KeY, is based on forward reasoning by means of symbolic execution.
Keywords
Cite
@article{arxiv.2412.00906,
title = {Towards a Proof System for Probabilistic Dynamic Logic},
author = {Einar Broch Johnsen and Eduard Kamburjan and Raúl Pardo and Erik Voogd and Andrzej Wąsowski},
journal= {arXiv preprint arXiv:2412.00906},
year = {2024}
}
Comments
Pre-print of paper appearing in "In Principles of Verification: Cycling the Probabilistic Landscape-Essays Dedicated to Joost-Pieter Katoen on the Occasion of His 60th Birthday, 2024" (https://doi.org/10.1007/978-3-031-75783-9_13)