paper

Sleptsov Nets are Turing-complete

arXiv:2306.12440 · doi:10.1016/j.tcs.2023.114346

Abstract

The present paper proves that a Sleptsov net (SN) is Turing-complete, that considerably improves, with a brief construct, the previous result that a strong SN is Turing-complete. Remind that, unlike Petri nets, an SN always fires enabled transitions at their maximal firing multiplicity, as a single step, leaving for a nondeterministic choice of which fireable transitions to fire. A strong SN restricts nondeterministic choice to firing only the transitions having the highest firing multiplicity.

Sleptsov Net Computing Resolves Modern Supercomputing Problems, https://technews.acm.org/archives.cfm?fo=2023-04-apr/apr-21-2023.html

Sleptsov Nets are Turing-complete · wovepaper