Abstract
During the last decade, various approaches have been put forward to integrate business processes with different types of data. Each of these approaches reflects specific demands in the whole process-data integration spectrum. One particularly important point is the capability of these approaches to flexibly accommodate processes with multiple cases that need to co-evolve. In this work, we introduce and study an extension of coloured Petri nets, called catalog-nets, providing two key features to capture this type of processes. On the one hand, net transitions are equipped with guards that simultaneously inspect the content of tokens and query facts stored in a read-only, persistent database. On the other hand, such transitions can inject data into tokens by extracting relevant values from the database or by generating genuinely fresh ones. We systematically encode catalog-nets into one of the reference frameworks for the (parameterised) verification of data and processes. We show that fresh-value injection is a particularly complex feature to handle, and discuss strategies to tame it. Finally, we discuss how catalog-nets relate to well-known formalisms in this area.
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- 1.
Here, with slight abuse of notation, we define by \( Val (m)\) the set of all values appearing in m.
- 2.
mcmt has only one index sort, but, as shown in [15], there is no loss of generality in doing that.
- 3.
This is a technicality of mcmt, as explained in [15], since mcmt has only one index sort.
- 4.
Backward reachability is not marking reachability. We consider reachability of a configuration satisfying a property that captures the covering of a data-aware marking.
References
MCMT: Model checker modulo theories. http://users.mat.unimi.it/users/ghilardi/mcmt/. Accessed 15 June 2020
Aalst, W.M.P.: Object-centric process mining: dealing with divergence and convergence in event data. In: Ölveczky, P.C., Salaün, G. (eds.) SEFM 2019. LNCS, vol. 11724, pp. 3–25. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-30446-1_1
Alberti, F., Ghilardi, S., Pagani, E., Ranise, S., Rossi, G.P.: Universal guards, relativization of quantifiers, and failure models in model checking modulo theories. J. Satisf. Boolean Model. Comput. 8(1/2), 29–61 (2012)
Artale, A., Kovtunova, A., Montali, M., van der Aalst, W.M.P.: Modeling and reasoning over declarative data-aware processes with object-centric behavioral constraints. In: Hildebrandt, T., van Dongen, B.F., Röglinger, M., Mendling, J. (eds.) BPM 2019. LNCS, vol. 11675, pp. 139–156. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-26619-6_11
Batoulis, K., Haarmann, S., Weske, M.: Various notions of soundness for decision-aware business processes. In: Mayr, H.C., Guizzardi, G., Ma, H., Pastor, O. (eds.) ER 2017. LNCS, vol. 10650, pp. 403–418. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-69904-2_31
Calvanese, D., Ghilardi, S., Gianola, A., Montali, M., Rivkin, A.: Verification of data-aware processes via array-based systems (extended version). Technical report arXiv:1806.11459 (2018)
Calvanese, D., Ghilardi, S., Gianola, A., Montali, M., Rivkin, A.: Formal modeling and SMT-based parameterized verification of data-aware BPMN. In: Hildebrandt, T., van Dongen, B.F., Röglinger, M., Mendling, J. (eds.) BPM 2019. LNCS, vol. 11675, pp. 157–175. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-26619-6_12
Calvanese, D., Ghilardi, S., Gianola, A., Montali, M., Rivkin, A.: From model completeness to verification of data aware processes. In: Lutz, C., Sattler, U., Tinelli, C., Turhan, A.-Y., Wolter, F. (eds.) Description Logic, Theory Combination, and All That. LNCS, vol. 11560, pp. 212–239. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-22102-7_10
Calvanese, D., Ghilardi, S., Gianola, A., Montali, M., Rivkin, A.: SMT-based verification of data-aware processes: a model-theoretic approach. Math. Struct. Comput. Sci. 30(3), 271–313 (2020)
Calvanese, D., De Giacomo, G., Montali, M.: Foundations of data aware process analysis: a database theory perspective. In: Proceedings of PODS, pp. 1–12. ACM (2013)
De Masellis, R., Di Francescomarino, C., Ghidini, C., Montali, M., Tessaris, S.: Add data into business process verification: bridging the gap between theory and practice. In: Singh, S.P., Markovitch, S. (eds.) Proceedings of AAAI, pp. 1091–1099 (2017)
Deutsch, A., Li, Y., Vianu, V.: Verification of hierarchical artifact systems. In: Proceedings of PODS, pp. 179–194. ACM (2016)
Dumas, M.: On the convergence of data and process engineering. In: Eder, J., Bielikova, M., Tjoa, A.M. (eds.) ADBIS 2011. LNCS, vol. 6909, pp. 19–26. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-23737-9_2
Fahland, D.: Describing behavior of processes with many-to-many interactions. In: Donatelli, S., Haar, S. (eds.) PETRI NETS 2019. LNCS, vol. 11522, pp. 3–24. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-21571-2_1
Ghilardi, S., Gianola, A., Montali, M., Rivkin, A.: Petri nets with parameterised data: modelling and verification (extended version). Technical report arXiv:2006.06630 (2020)
Ghilardi, S., Ranise, S.: Backward reachability of array-based systems by SMT solving: termination and invariant synthesis. Log. Methods Comput. Sci. 6(4), 1–46 (2010)
van Hee, K.M., Sidorova, N., Voorhoeve, M., van der Werf, J.M.E.M.: Generation of database transactions with petri nets. Fundamenta Informaticae 93(1–3), 171–184 (2009)
Hull, R.: Artifact-centric business process models: brief survey of research results and challenges. In: Meersman, R., Tari, Z. (eds.) OTM 2008. LNCS, vol. 5332, pp. 1152–1163. Springer, Heidelberg (2008). https://doi.org/10.1007/978-3-540-88873-4_17
Künzle, V., Weber, B., Reichert, M.: Object-aware business processes: fundamental requirements and their support in existing approaches. Int. J. Inf. Syst. Model. Des. 2(2), 19–46 (2011)
Li, Y., Deutsch, A., Vianu, V.: VERIFAS: a practical verifier for artifact systems. PVLDB 11(3), 283–296 (2017)
Meyer, A., Pufahl, L., Fahland, D., Weske, M.: Modeling and enacting complex data dependencies in business processes. In: Daniel, F., Wang, J., Weber, B. (eds.) BPM 2013. LNCS, vol. 8094, pp. 171–186. Springer, Heidelberg (2013). https://doi.org/10.1007/978-3-642-40176-3_14
Montali, M., Rivkin, A.: DB-Nets: on the marriage of colored petri nets and relational databases. Trans. Petri Nets Other Models Concurr. 28(4), 91–118 (2017)
Montali, M., Rivkin, A.: From DB-nets to coloured petri nets with priorities. In: Donatelli, S., Haar, S. (eds.) PETRI NETS 2019. LNCS, vol. 11522, pp. 449–469. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-21571-2_24
Polyvyanyy, A., van der Werf, J.M.E.M., Overbeek, S., Brouwers, R.: Information systems modeling: language, verification, and tool support. In: Giorgini, P., Weber, B. (eds.) CAiSE 2019. LNCS, vol. 11483, pp. 194–212. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-21290-2_13
Reichert, M.: Process and data: two sides of the same coin? In: Meersman, R., et al. (eds.) OTM 2012. LNCS, vol. 7565, pp. 2–19. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-33606-5_2
Rosa-Velardo, F., de Frutos-Escrig, D.: Decidability and complexity of petri nets with unordered data. Theoret. Comput. Sci. 412(34), 4439–4451 (2011)
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This work has been partially supported by the UNIBZ projects VERBA and DACOMAN.
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Ghilardi, S., Gianola, A., Montali, M., Rivkin, A. (2020). Petri Nets with Parameterised Data. In: Fahland, D., Ghidini, C., Becker, J., Dumas, M. (eds) Business Process Management. BPM 2020. Lecture Notes in Computer Science(), vol 12168. Springer, Cham. https://doi.org/10.1007/978-3-030-58666-9_4
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