Linear Properties of Zero-Safe Nets with Debit Tokens

Abstract

In this contribution we study an extension of zero-safe nets that allows to model cooperation scenarios. Since zero-safe nets cannot be represented as finite nets in general, we study an extension of the firing rule having a close connection to blind counter automatons and the theory of semi-flows. As a main result we obtain, that a representation can always be given as a finite P/T net – although our firing rule is an extension of the original one – i.e. it preserves all the events that have been allowed before.