Abstract
There are two basic approaches to business process modeling. One based on Petri nets, the other, newer, but with growing popularity, based on process algebras such as \(\pi \)-calculus. We have created a new variant of \(\pi \)-calculus which we call Object \(\pi \)-calculus. It has high level object oriented features such as method calls, mixins and additional process combinators. The calculus is of general interest, but it is particularly geared towards applications in business process modeling, especially document workflow modeling. Accordingly, we provide a proof-of-concept specification of a paper submission system in our dialect of \(\pi \)-calculus.
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
Similar content being viewed by others
References
Van der Aalst, W.M.: The application of Petri nets to workflow management. J. Circ. Syst. Comput. 8(01), 21–66 (1998)
Van der Aalst, W.M.: Pi calculus versus Petri nets: Let us eat humble pie rather than further inflate the pi hype. BPTrends 3(5), 1–11 (2005)
Barkaoui, K., Boucheneb, H., Hicheur, A.: Modelling and analysis of time-constrained flexible workflows with time recursive ECATNets. In: Bruni, R., Wolf, K. (eds.) WS-FM 2008. LNCS, vol. 5387, pp. 19–36. Springer, Heidelberg (2009)
Barkaoui, K., Hicheur, A.: Towards analysis of flexible and collaborative workflow using recursive ECATNets. In: ter Hofstede, A.H.M., Benatallah, B., Paik, H.-Y. (eds.) BPM Workshops 2007. LNCS, vol. 4928, pp. 232–244. Springer, Heidelberg (2008)
Bergstra, J.A., Ponse, A., Smolka, S.A.: Handbook of Process Algebra. Elsevier, Amsterdam (2001)
Bettaz, M., Maouche, M.: How to specify non determinism and true concurrency with algebraic term nets. In: Bidoit, M., Choppy, C. (eds.) Abstract Data Types 1991 and COMPASS 1991. LNCS, vol. 655, pp. 164–180. Springer, Heidelberg (1993)
Brogi, A., Canal, C., Pimentel, E., Vallecillo, A.: Formalizing web service choreographies. Electron. Notes Theor. Comput. Sci. 105, 73–94 (2004)
De Nicola, R.: A gentle introduction to process algebras. Notes 7 (2014). https://goo.gl/ZkLOK1
Fleischmann, A.: What Is S-BPM? In: Buchwald, H., Fleischmann, A., Seese, D., Stary, C. (eds.) S-BPM ONE 2009. CCIS, vol. 85, pp. 85–106. Springer, Heidelberg (2010)
van Glabbeek, R.J.: The meaning of negative premises in transition system specifications II. In: Meyer auf der Heide, F., Monien, B. (eds.) ICALP 1996. LNCS, vol. 1099. Springer, Heidelberg (1996)
Goel, A., Choppella, V.: Algebraic modelling of educational workflows. In: 2012 IEEE Fourth International Conference on Technology for Education (T4E), pp. 153–156. IEEE (2012)
Haddad, S., Poitrenaud, D.: Modelling and analyzing systems with recursive Petri nets. In: Boel, R., Stremersch, G. (eds.) Discrete Event Systems, pp. 449–458. Springer, USA (2000)
Kleine, M.: CSP as a coordination language. In: De Meuter, W., Roman, G.-C. (eds.) COORDINATION 2011. LNCS, vol. 6721, pp. 65–79. Springer, Heidelberg (2011)
Milner, R.: The Polyadic \(\pi \)-Calculus: A Tutorial. Springer, Heidelberg (1993)
Milner, R.: Communicating and Mobile Systems: The Pi Calculus. Cambridge University Press, Cambridge (1999)
Parrow, J.: An introduction to the \(\pi \)-calculus. In: Bergstra, J.A., Ponse, A., Smolka, S.A. (eds.) Handbook of Process Algebra, pp. 479–543. Elsevier, Amsterdam (2001)
Pierce, B., Sangiorgi, D.: Typing and subtyping for mobile processes. In: Proceedings of Eighth Annual IEEE Symposium on Logic in Computer Science, 1993, LICS 1993, pp. 376–385. IEEE (1993)
Puhlmann, F.: Why do we actually need the pi-calculus for business process management? BIS 85, 77–89 (2006)
Puhlmann, F., Weske, M.: Using the \(\pi \)-calculus for formalizing workflow patterns. In: van der Aalst, W.M.P., Benatallah, B., Casati, F., Curbera, F. (eds.) BPM 2005. LNCS, vol. 3649, pp. 153–168. Springer, Heidelberg (2005)
Puhlmann, F., Weske, M.: A look around the corner: the pi-calculus. In: Jensen, K., van der Aalst, W.M.P. (eds.) Transactions on Petri Nets and Other Models of Concurrency II. LNCS, vol. 5460, pp. 64–78. Springer, Heidelberg (2009)
Raja, N., Shyamasundar, R.: Actors as a coordinating model of computation. In: Bjorner, D., Broy, M., Pottosin, I.V. (eds.) PSI 1996. LNCS, vol. 1181, pp. 191–202. Springer, Heidelberg (1996)
Ramchandani, C.: Analysis of asynchronous concurrent systems by timed Petri nets (1974)
Ryan, M.D., Smyth, B.: Applied pi calculus (2011)
Saeedloei, N., Gupta, G.: An extension of \(\pi \)-calculus with real-time and its realization in logic programming. In: Symposium on Logic-Based Program Synthesis and Transformation (LOPSTR 2012), p. 153 (2012)
Smith, H., Fingar, P.: Workflow is just a pi process. BPTrends, pp. 1–36, November 2003
Van Der Aalst, W.M., Ter Hofstede, A.H.: Yawl: yet another workflow language. Inf. Syst. 30(4), 245–275 (2005)
Walker, D.: \(\pi \)-calculus semantics of object-oriented programming languages. In: Theoretical Aspects of Computer Software. pp. 532–547. Springer (1991)
Walker, D.: Objects in the \(\pi \)-calculus. Inf. Comput. 116(2), 253–271 (1995)
Acknowledgements
I would like to thank the anonymous reviewers for their suggestions.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Zieliński, B., Sobieski, Ś., Kruszyński, P., Sysak, M., Maślanka, P. (2015). Object \(\pi \)-Calculus and Document Workflows. In: Bellatreche, L., Manolopoulos, Y. (eds) Model and Data Engineering. Lecture Notes in Computer Science(), vol 9344. Springer, Cham. https://doi.org/10.1007/978-3-319-23781-7_18
Download citation
DOI: https://doi.org/10.1007/978-3-319-23781-7_18
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-23780-0
Online ISBN: 978-3-319-23781-7
eBook Packages: Computer ScienceComputer Science (R0)