Skip to main content
SpringerLink
Log in

Reversible Computation in Petri Nets

  • Conference paper
  • First Online:
Reversible Computation (RC 2018)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 11106))

Included in the following conference series:

Abstract

Reversible computation is an unconventional form of computing where any executed sequence of operations can be executed in reverse at any point during computation. In this paper we propose a reversible approach to Petri nets by introducing machinery and associated operational semantics to tackle the challenges of the three main forms of reversibility, namely, backtracking, causal reversing and out-of-causal-order reversing. Our proposal concerns a variation of Petri nets where tokens are persistent and are distinguished from each other by an identity. Our design decisions are influenced by applications in biochemistry but the methodology can be applied to a wide range of problems that feature reversibility. We demonstrate the applicability of our approach with an example of a biochemical system and an example of a transaction-processing system both featuring reversible behaviour.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Altenkirch, T., Grattage, J.: A functional quantum programming language. In: Proceedings of LICS 2005, pp. 249–258 (2005)

    Google Scholar 

  2. Bacci, G., Danos, V., Kammar, O.: On the statistical thermodynamics of reversible communicating processes. In: Proceedings of CALCO 2011. LNCS, vol. 6859, pp. 1–18. Springer, Heidelberg (2011)

    Google Scholar 

  3. Barylska, K., Gogolinska, A., Mikulski, L., Philippou, A., Piatkowski, M., Psara, K.: Reversing computations modelled by coloured Petri nets. In: Proceedings of ATEAD 2018 (2018, to appear)

    Google Scholar 

  4. Barylska, K., Koutny, M., Mikulski, L., Piatkowski, M.: Reversible computation vs. reversibility in Petri nets. Sci. Comput. Program. 151, 48–60 (2018)

    Article  Google Scholar 

  5. Barylska, K., Mikulski, L., Piatkowski, M., Koutny, M., Erofeev, E.: Reversing transitions in bounded Petri nets. In: Proceedings of CS&P 2016, vol. 1698. CEUR Workshop Proceedings, pp. 74–85. CEUR-WS.org (2016)

  6. Cardelli, L., Laneve, C.: Reversible structures. In: Proceedings of CMSB 2011, pp. 131–140. ACM (2011)

    Google Scholar 

  7. Danos, V., Krivine, J.: Reversible communicating systems. In: Gardner, P., Yoshida, N. (eds.) CONCUR 2004. LNCS, vol. 3170, pp. 292–307. Springer, Heidelberg (2004). https://doi.org/10.1007/978-3-540-28644-8_19

    Chapter  Google Scholar 

  8. Danos, V., Krivine, J.: Transactions in RCCS. In: Abadi, M., de Alfaro, L. (eds.) CONCUR 2005. LNCS, vol. 3653, pp. 398–412. Springer, Heidelberg (2005). https://doi.org/10.1007/11539452_31

    Chapter  Google Scholar 

  9. Danos, V., Krivine, J.: Formal molecular biology done in CCS-R. Electron. Notes Theor. Comput. Sci. 180(3), 31–49 (2007)

    Article  Google Scholar 

  10. Gay, S.J., Nagarajan, R.: Communicating quantum processes. In: Proceedings of POPL 2005, pp. 145–157 (2005)

    Google Scholar 

  11. Jensen, K., Kristensen, L.M.: Coloured Petri Nets - Modelling and Validation of Concurrent Systems. Springer, Heidelberg (2009)

    Book  Google Scholar 

  12. Kuhn, S., Ulidowski, I.: A calculus for local reversibility. In: Devitt, S., Lanese, I. (eds.) RC 2016. LNCS, vol. 9720, pp. 20–35. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-40578-0_2

    Chapter  Google Scholar 

  13. Landauer, R.: Irreversibility and heat generation in the computing process. IBM J. Res. Dev. 5(3), 183–191 (1961)

    Article  MathSciNet  Google Scholar 

  14. Lanese, I., Lienhardt, M., Mezzina, C.A., Schmitt, A., Stefani, J.-B.: Concurrent flexible reversibility. In: Felleisen, M., Gardner, P. (eds.) ESOP 2013. LNCS, vol. 7792, pp. 370–390. Springer, Heidelberg (2013). https://doi.org/10.1007/978-3-642-37036-6_21

    Chapter  Google Scholar 

  15. Lanese, I., Mezzina, C.A., Schmitt, A., Stefani, J.-B.: Controlling reversibility in higher-order Pi. In: Katoen, J.-P., König, B. (eds.) CONCUR 2011. LNCS, vol. 6901, pp. 297–311. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-23217-6_20

    Chapter  Google Scholar 

  16. Lanese, I., Mezzina, C.A., Stefani, J.: Reversibility in the higher-order \(\pi \)-calculus. Theor. Comput. Sci. 625, 25–84 (2016)

    Article  MathSciNet  Google Scholar 

  17. Philippou, A., Psara, K.: Reversible computation in Petri nets. CoRR, arXiv:abs/1804.04607 (2018)

  18. Phillips, I., Ulidowski, I.: Reversing algebraic process calculi. In: Aceto, L., Ingólfsdóttir, A. (eds.) FoSSaCS 2006. LNCS, vol. 3921, pp. 246–260. Springer, Heidelberg (2006). https://doi.org/10.1007/11690634_17

    Chapter  Google Scholar 

  19. Phillips, I., Ulidowski, I., Yuen, S.: A reversible process calculus and the modelling of the ERK signalling pathway. In: Glück, R., Yokoyama, T. (eds.) RC 2012. LNCS, vol. 7581, pp. 218–232. Springer, Heidelberg (2013). https://doi.org/10.1007/978-3-642-36315-3_18

    Chapter  MATH  Google Scholar 

  20. Phillips, I., Ulidowski, I., Yuen, S.: Modelling of bonding with processes and events. In: Dueck, G.W., Miller, D.M. (eds.) RC 2013. LNCS, vol. 7948, pp. 141–154. Springer, Heidelberg (2013). https://doi.org/10.1007/978-3-642-38986-3_12

    Chapter  MATH  Google Scholar 

  21. Ulidowski, I., Phillips, I., Yuen, S.: Concurrency and reversibility. In: Yamashita, S., Minato, S. (eds.) RC 2014. LNCS, vol. 8507, pp. 1–14. Springer, Cham (2014). https://doi.org/10.1007/978-3-319-08494-7_1

    Chapter  Google Scholar 

  22. Glabbeek, R.J.: The individual and collective token interpretations of Petri nets. In: Abadi, M., de Alfaro, L. (eds.) CONCUR 2005. LNCS, vol. 3653, pp. 323–337. Springer, Heidelberg (2005). https://doi.org/10.1007/11539452_26

    Chapter  Google Scholar 

  23. van Glabbeek, R.J., Goltz, U., Schicke, J.-W.: On causal semantics of Petri nets. In: Katoen, J.-P., König, B. (eds.) CONCUR 2011. LNCS, vol. 6901, pp. 43–59. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-23217-6_4

    Chapter  Google Scholar 

Download references

Acknowledgments

This research was partially supported by the EU COST Action IC1405. We are grateful to K. Barylska, A. Gogolinska, L. Mikulski, and M. Piatkowski for interesting discussions on previous drafts of this work.

Author information

Authors and Affiliations

  1. Department of Computer Science, University of Cyprus, Nicosia, Cyprus

    Anna Philippou & Kyriaki Psara

Authors
  1. Anna Philippou
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Kyriaki Psara
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Anna Philippou .

Editor information

Editors and Affiliations

  1. University of Turku, Turku, Finland

    Jarkko Kari

  2. University of Leicester, Leicester, United Kingdom

    Irek Ulidowski

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Philippou, A., Psara, K. (2018). Reversible Computation in Petri Nets. In: Kari, J., Ulidowski, I. (eds) Reversible Computation. RC 2018. Lecture Notes in Computer Science(), vol 11106. Springer, Cham. https://doi.org/10.1007/978-3-319-99498-7_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-99498-7_6

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-99497-0

  • Online ISBN: 978-3-319-99498-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation