Defining the symmetry of the universal semi-regular autonomous asynchronous systems

TL;DR

This paper introduces four definitions of symmetry for semi-regular autonomous asynchronous systems, expanding the understanding of their structure and providing numerous examples within a more general framework.

Contribution

It proposes new symmetry definitions for semi-regular autonomous asynchronous systems, broadening the theoretical framework beyond regular systems.

Findings

Four new symmetry definitions introduced

Examples illustrating the symmetry concepts provided

Framework extends to semi-regular systems

Abstract

The regular autonomous asynchronous systems are the non-deterministic Boolean dynamical systems and universality means the greatest in the sense of the inclusion. The paper gives four definitions of symmetry of these systems in a slightly more general framework, called semi-regularity and also many examples.