Abstract
Unfoldings succinctly represent the set of reachable markings of a Petri net. Here, we shall consider the case of contextual nets, which extend Petri nets with read arcs, and which are more suitable to represent the case of concurrent read access. We discuss the problem of (efficiently) constructing unfoldings of such nets. On the basis of these unfoldings, various verification problems can be encoded as satisfiability problems in propositional logic.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Baldan, P., Bruni, A., Corradini, A., König, B., Schwoon, S.: On the computation of mcMillan”s prefix for contextual nets and graph grammars. In: Ehrig, H., Rensink, A., Rozenberg, G., Schürr, A. (eds.) ICGT 2010. LNCS, vol. 6372, pp. 91–106. Springer, Heidelberg (2010)
Baldan, P., Corradini, A., König, B., Schwoon, S.: McMillan’s complete prefix for contextual nets. In: Jensen, K., van der Aalst, W.M.P., Billington, J. (eds.) Transactions on Petri Nets and Other Models of Concurrency I. LNCS, vol. 5100, pp. 199–220. Springer, Heidelberg (2008)
Esparza, J., Heljanko, K.: Unfoldings - A Partial-Order Approach to Model Checking. EATCS Monographs in Theoretical Computer Science. Springer, Heidelberg (2008)
Esparza, J., Römer, S., Vogler, W.: An improvement of McMillan’s unfolding algorithm. Formal Methods in System Design 20, 285–310 (2002)
Heljanko, K.: Combining Symbolic and Partial-Order Methods for Model-Checking 1-Safe Petri Nets. Ph.D. thesis. Helsinki University of Technology (2002)
Janicki, R., Koutny, M.: Invariant semantics of nets with inhibitor arcs. In: Groote, J.F., Baeten, J.C.M. (eds.) CONCUR 1991. LNCS, vol. 527, pp. 317–331. Springer, Heidelberg (1991)
McMillan, K.L.: Using unfoldings to avoid the state explosion problem in the verification of asynchronous circuits. In: Probst, D.K., von Bochmann, G. (eds.) CAV 1992. LNCS, vol. 663, pp. 164–177. Springer, Heidelberg (1993)
Montanari, U., Rossi, F.: Contextual occurrence nets and concurrent constraint programming. In: Ehrig, H., Schneider, H.-J. (eds.) Dagstuhl Seminar 1993. LNCS, vol. 776. Springer, Heidelberg (1994)
Ristori, G.: Modelling systems with shared resources via Petri nets. Ph.D. thesis. University of Pisa (1994)
Rodríguez, C.: The Cunf tool, http://www.lsv.ens-cachan.fr/~rodriguez/tools/cunf/
Rodríguez, C., Schwoon, S., Baldan, P.: Efficient contextual unfolding. Tech. rep., LSV, ENS de Cachan (2011)
Vogler, W., Semenov, A.L., Yakovlev, A.: Unfolding and finite prefix for nets with read arcs. In: Sangiorgi, D., de Simone, R. (eds.) CONCUR 1998. LNCS, vol. 1466, pp. 501–516. Springer, Heidelberg (1998)
Winkowski, J.: Reachability in contextual nets. Fundamenta Informaticae 51(1-2), 235–250 (2002)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Schwoon, S., Rodríguez, C. (2011). Construction and SAT-Based Verification of Contextual Unfoldings. In: Holzer, M., Kutrib, M., Pighizzini, G. (eds) Descriptional Complexity of Formal Systems. DCFS 2011. Lecture Notes in Computer Science, vol 6808. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22600-7_3
Download citation
DOI: https://doi.org/10.1007/978-3-642-22600-7_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-22599-4
Online ISBN: 978-3-642-22600-7
eBook Packages: Computer ScienceComputer Science (R0)