English

The parallel composition of processes

Category Theory 2009-04-28 v1

Abstract

We suggest that the canonical parallel operation of processes is composition in a well-supported compact closed category of spans of reflexive graphs. We present the parallel operations of classical process algebras as derived operations arising from monoid objects in such a category, representing the fact that they are protocols based on an underlying broadcast communication.

Keywords

Cite

@article{arxiv.0904.3961,
  title  = {The parallel composition of processes},
  author = {L. de Francesco Albasini and N. Sabadini and R. F. C. Walters},
  journal= {arXiv preprint arXiv:0904.3961},
  year   = {2009}
}

Comments

This article was presented at Category Theory 2008 in Calais. It was also contained in the report of an Italian project: ART 2008, Analysing Reduction systems using Transition systems, Forum, Udine, 2008

R2 v1 2026-06-21T12:54:59.858Z