An Algebraic Semantics for Hierarchical P/T Nets

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An Algebraic Semantics for Hierarchical P/T Nets
The first part of this paper gives an algebraic semantics for Place/Transition nets in terms of an algebra which is based on the process algebra ACP. The algebraic semantics is such that a P/T net and its term representation have the same operational behavior. As opposed to other approaches in the literature, the actions in the algebra do not correspond to the firing of a transition, but to the consumption or production of tokens. Equality of P/T nets can be determined in a purely equational way. The second part of this paper extends the results to hierarchical P/T nets. It gives a compositional algebraic semantics for both their complete operational behavior and their high-level, observable behavior. By means of a non-trivial example, the Alternating-Bit Protocol, it is shown that the notions of abstraction and verification in the process algebra ACP can be used to verify in an equational way whether a hierarchical P/T net satisfies some algebraic specification of its observable...
Twan Basten, Marc Voorhoeve
Added 25 Aug 2010
Updated 25 Aug 2010
Type Conference
Year 1995
Where APN
Authors Twan Basten, Marc Voorhoeve
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