Publication Type

Conference Proceeding Article

Version

publishedVersion

Publication Date

6-2012

Abstract

Classical workflow nets (WF-nets) are an important class of Petri nets that are widely used to model and analyze workflow systems. Soundness is a crucial property that guarantees these systems are deadlock-free and bounded. Aalst et al. proved that the soundness problem is decidable, and proposed (but not proved) that the soundness problem is EXPSPACE-hard. In this paper, we show that the satisfiability problem of Boolean expression is polynomial time reducible to the liveness problem of bounded WF-nets, and soundness and liveness are equivalent for bounded WF-nets. As a result, the soundness problem of bounded WF-nets is co-NP-hard.Workflow nets with reset arcs (reWF-nets) are an extension to WF-nets, which enhance the expressiveness of WF-nets. Aalst et al. proved that the soundness problem of reWF-nets is undecidable. In this paper, we show that for bounded reWF-nets, the soundness problem is decidable and equivalent to the liveness problem. Furthermore, a bounded reWF-net can be constructed in polynomial time for every linear bounded automaton (LBA) with an input string, and we prove that the LBA accepts the input string if and only if the constructed reWF-net is live. As a result, the soundness problem of bounded reWF-nets is PSPACE-hard.

Keywords

Petri nets, workflow nets, workflow nets with reset arcs, soundness, co-NP-hardness, PSPACE-hardness

Discipline

Programming Languages and Compilers | Software Engineering

Research Areas

Software and Cyber-Physical Systems

Publication

Proceedings of the 33rd International Conference, PETRI NETS 2012, Hamburg, Germany, June 25-29

First Page

92

Last Page

107

ISBN

9783642311307

Identifier

10.1007/978-3-642-31131-4_6

Publisher

Springer Link

City or Country

Hamburg, Germany

Additional URL

https://doi.org/10.1007/978-3-642-31131-4_6

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