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Hereditary History-Preserving Bisimilarity: Logics and Automata

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Programming Languages and Systems (APLAS 2014)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 8858))

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Abstract

We study hereditary history-preserving (hhp-) bisimilarity, a canonical behavioural equivalence in the true concurrent spectrum, by means of logics and automata. We first show that hhp-bisimilarity on prime event structures can be characterised in terms of a simple logic whose formulae just observe events in computations and check their executability. The logic suggests a characterisation of hhp-bisimilarity based on history-dependent automata, a formalism for modelling systems with dynamic allocation and deallocation of resources, where the history of resources is traced over time. Prime event structures can be naturally mapped into history-dependent automata in a way that hhp-bisimilarity exactly corresponds to the canonical behavioural equivalence for history-dependent automata.

Work partially supported by the MIUR PRIN project CINA.

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References

  1. van Glabbeek, R., Goltz, U.: Refinement of actions and equivalence notions for concurrent systems. Acta Informatica 37(4/5), 229–327 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  2. Esparza, J., Heljanko, K.: Unfoldings - A Partial order Approach to Model Checking. EACTS Monographs. Springer (2008)

    Google Scholar 

  3. Bednarczyk, M.A.: Hereditary history preserving bisimulations or what is the power of the future perfect in program logics. Technical report, Polish Academy of Sciences (1991)

    Google Scholar 

  4. Joyal, A., Nielsen, M., Winskel, G.: Bisimulation from open maps. Information and Computation 127(2), 164–185 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  5. Winskel, G.: Event Structures. In: Brauer, W., Reisig, W., Rozenberg, G. (eds.) APN 1986. LNCS, vol. 255, pp. 325–392. Springer, Heidelberg (1987)

    Google Scholar 

  6. Phillips, I., Ulidowski, I.: A hierarchy of reverse bisimulations on stable configuration structures. Mathematical Structures in Computer Science 22(2), 333–372 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  7. Phillips, I., Ulidowski, I.: Reversing algebraic process calculi. Journal of Logic and Algebraic Programming 73(1-2), 70–96 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  8. Cristescu, I., Krivine, J., Varacca, D.: A compositional semantics for the reversible p-calculus. In: Proc. of LICS 2013, pp. 388–397. IEEE Computer Society (2013)

    Google Scholar 

  9. Baldan, P., Crafa, S.: A logic for true concurrency. Journal of the ACM 61(4), 24:1–24:36 (2014)

    Google Scholar 

  10. Phillips, I., Ulidowski, I.: Event identifier logic. Mathematical Structures in Computer Science 24(2), 1–51 (2014)

    MathSciNet  Google Scholar 

  11. Nielsen, M., Clausen, C.: Games and logics for a noninterleaving bisimulation. Nordic Journal of Computing 2(2), 221–249 (1995)

    MathSciNet  MATH  Google Scholar 

  12. Hennessy, M., Stirling, C.: The power of the future perfect in program logics. Information and Control 67(1-3), 23–52 (1985)

    Article  MathSciNet  MATH  Google Scholar 

  13. Montanari, U., Pistore, M.: History-Dependent automata: An introduction. In: Bernardo, M., Bogliolo, A. (eds.) SFM-Moby 2005. LNCS, vol. 3465, pp. 1–28. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  14. Jurdzinski, M., Nielsen, M., Srba, J.: Undecidability of domino games and hhp-bisimilarity. Information and Computation 184(2), 343–368 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  15. Hennessy, M., Milner, R.: Algebraic laws for nondeterminism and concurrency. Journal of the ACM 32(1), 137–161 (1985)

    Article  MathSciNet  MATH  Google Scholar 

  16. Thiagarajan, P.S.: Regular event structures and finite petri nets: A conjecture. In: Brauer, W., Ehrig, H., Karhumäki, J., Salomaa, A. (eds.) Formal and Natural Computing. LNCS, vol. 2300, pp. 244–256. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  17. Vogler, W.: Deciding history preserving bisimilarity. In: Leach Albert, J., Monien, B., Rodríguez-Artalejo, M. (eds.) ICALP 1991. LNCS, vol. 510, pp. 495–505. Springer, Heidelberg (1991)

    Chapter  Google Scholar 

  18. Montanari, U., Pistore, M.: Minimal transition systems for history-preserving bisimulation. In: Reischuk, R., Morvan, M. (eds.) STACS 1997. LNCS, vol. 1200, pp. 413–425. Springer, Heidelberg (1997)

    Chapter  Google Scholar 

  19. Fröschle, S., Hildebrandt, T.: On plain and hereditary history-preserving bisimulation. In: Kutyłowski, M., Wierzbicki, T., Pacholski, L. (eds.) MFCS 1999. LNCS, vol. 1672, pp. 354–365. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  20. Bojanczyk, M., Klin, B., Lasota, S.: Automata with group actions. In: Proc. of LICS 2011, pp. 355–364. IEEE Computer Society (2011)

    Google Scholar 

  21. Prisacariu, C.: The glory of the past and geometrical concurrency. CoRR abs/1206.3136 (2012)

    Google Scholar 

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Padova, Italy

    Paolo Baldan & Silvia Crafa

Authors
  1. Paolo Baldan
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  2. Silvia Crafa
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Editors and Affiliations

  1. Graduate School of Mathematics, Nagoya University, 464-8602, Chikusa-ku, Nagoya, Japan

    Jacques Garrigue

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Baldan, P., Crafa, S. (2014). Hereditary History-Preserving Bisimilarity: Logics and Automata. In: Garrigue, J. (eds) Programming Languages and Systems. APLAS 2014. Lecture Notes in Computer Science, vol 8858. Springer, Cham. https://doi.org/10.1007/978-3-319-12736-1_25

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  • DOI: https://doi.org/10.1007/978-3-319-12736-1_25

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-12735-4

  • Online ISBN: 978-3-319-12736-1

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