Contact

Director

Prof. Dr. Ernst-Rüdiger Olderog

Department of Computing Science
FK II
University of Oldenburg
D-26111 Oldenburg, Germany

Coordinator

Ira Wempe

Department of Computing Science
FK II
University of Oldenburg
D-26111 Oldenburg, Germany

Small Universal Petri Nets

Small Universal Petri Nets

Prof. Dr. Elisabeth Pelz, LACL, UPEC (Frankreich)

Abstract:

We investigate the problem of constructing small-size universal Petri nets with inhibitor arcs. We consider four descriptive complexity parameters: the number of places, transitions, inhibitor arcs, and the maximal degree of a transition, each of which we try to minimize. We give six constructions having the following values of parameters, listed in the above order: (30,34,13,3), (14,31,51,8), (11,31,79,11), (21,25,13,5), (67,64,8,3), (58,55,8,5) that improve the few known. Our investigation also highlights several interesting trade-offs between these parameters. Due to equivalences, our results can be translated to multiset rewriting with forbidding conditions or to P systems with inhibitors.

Oliver Theel (Changed: 20 Jun 2024)  | 
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