English

A Formal Framework for Distributed Cyber-Physical Systems

Logic in Computer Science 2022-07-05 v1

Abstract

Composition is an important feature of a specification language, as it enables the design of a complex system in terms of a product of its parts. Decomposition is equally important in order to reason about structural properties of a system. Usually, however, a system can be decomposed in more than one way, each optimizing for a different set of criteria. We extend an algebraic component-based model for cyber-physical systems to reason about decomposition. In this model, components compose using a family of algebraic products, and decompose, under some conditions, given a corresponding family of division operators. We use division to specify invariant of a system of components, and to model desirable updates. We apply our framework to design a cyber-physical system consisting of robots moving on a shared field, and identify desirable updates using our division operator.

Keywords

Cite

@article{arxiv.2207.01048,
  title  = {A Formal Framework for Distributed Cyber-Physical Systems},
  author = {Benjamin Lion and Farhad Arbab and Carolyn Talcott},
  journal= {arXiv preprint arXiv:2207.01048},
  year   = {2022}
}
R2 v1 2026-06-24T12:12:27.779Z