A formal framework for distributed cyber-physical systems

• Published in: Journal of logical and algebraic methods in programming Vol. 128; p. 100795
• Main Authors: Lion, Benjamin, Arbab, Farhad, Talcott, Carolyn
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.08.2022
• ISSN: 2352-2208
• DOI: 10.1016/j.jlamp.2022.100795

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.