English

Dynamic Logic of Communicating Hybrid Programs

Logic in Computer Science 2023-03-06 v2 Programming Languages

Abstract

This paper presents a dynamic logic dLCHPd\mathcal{L}_\text{CHP} for compositional deductive verification of communicating hybrid programs (CHPs). CHPs go beyond the traditional mixed discrete and continuous dynamics of hybrid systems by adding CSP-style operators for communication and parallelism. A compositional proof calculus is presented that modularly verifies CHPs including their parallel compositions from proofs of their subprograms by assumption-commitment reasoning in dynamic logic. Unlike Hoare-style assumption-commitments, dLCHPd\mathcal{L}_\text{CHP} supports intuitive symbolic execution via explicit recorder variables for communication primitives. Since dLCHPd\mathcal{L}_\text{CHP} is a conservative extension of differential dynamic logic dLd\mathcal{L}, it can be used soundly along with the dLd\mathcal{L} proof calculus and dLd\mathcal{L}'s complete axiomatization for differential equation invariants.

Keywords

Cite

@article{arxiv.2302.14546,
  title  = {Dynamic Logic of Communicating Hybrid Programs},
  author = {Marvin Brieger and Stefan Mitsch and André Platzer},
  journal= {arXiv preprint arXiv:2302.14546},
  year   = {2023}
}
R2 v1 2026-06-28T08:51:46.593Z