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Logic Unification of Behavioral Equivalences of Timed Event Structures

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We propose a uniform logic characterization of some timed extensions of partial order based equivalences (pomset trace equivalence, testing equivalence, history preserving bisimulation, and hereditary history preserving bisimulation) in the setting of a true concurrency model timed event structures.

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References

  1. A. Joyal, M. Nielsen, and C. Winskel, “Bisimulation from open maps,” Inf. Comput. 127, No. 2, 164-185 (1996).

    Article  MATH  MathSciNet  Google Scholar 

  2. G. L. Cattani and V. Sassone, “Higher dimensional transition systems,” In: 11th Annual IEEE Symp. Logic Comp. Sci., pp. 55–62, IEEE Comp. Soc. Press, Washington (1996).

  3. M. Nielsen and A. Cheng, “Observing behaviour categorically,” Lect. Notes Comp. Sci. 1026, 263–278 (1995).

    Article  MathSciNet  Google Scholar 

  4. E. S. Oshevskaya, “Open maps bisimulations for higher dimensional automata models,” Lect. Notes Comp. Sci. 5699, 274–286 (2009).

    Article  Google Scholar 

  5. T. Hune and M. Nielsen, “Bisimulation and open maps for timed transition systems,” Fundam. Inform. 38, 61–77 (1999).

    MATH  MathSciNet  Google Scholar 

  6. I. B. Virbitskaite and N. S. Gribovskaya, “Open maps and observational equivalences for timed partial order models,” Fundam. Inform. 60, No. 1–4, 383–399 (2004).

    MATH  MathSciNet  Google Scholar 

  7. N. S. Gribovskaya and I. B. Virbitskaite, “Timed delay bisimulation is an equivalence relation for timed transition systems,” Fundam. Inform. 93, No. 1–3, 127–142 (2009).

    MATH  MathSciNet  Google Scholar 

  8. I. B. Virbitskaite, N. S. Gribovskaya, and E. Best, “A categorical view of timed behaviours,” Fundam. Inform. 102, No. 1, 129–143 (2010).

    MATH  MathSciNet  Google Scholar 

  9. G. Winskel, “An introduction to event structures,” Lect. Notes Comp. Sci. 354, 364–397 (1988).

    Article  MathSciNet  Google Scholar 

  10. G. Boudol and I. Castellani, “Concurrency and atomicity,” Theor. Comp. Sci. 59, 25–84 (1989).

    Article  MathSciNet  Google Scholar 

  11. A. Joyal and I. Moerdijk, “A completeness theorem for open maps,” Ann. Pure Appl. Logic 70, 51–86 (1997).

    Article  MathSciNet  Google Scholar 

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Correspondence to N. S. Gribovskaya.

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Translated from Vestnik Novosibirskogo Gosudarstvennogo Universiteta: Seriya Matematika, Mekhanika, Informatika 13, No. 1, 2013, pp. 32–46.

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Gribovskaya, N.S. Logic Unification of Behavioral Equivalences of Timed Event Structures. J Math Sci 203, 478–489 (2014). https://doi.org/10.1007/s10958-014-2151-1

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  • DOI: https://doi.org/10.1007/s10958-014-2151-1

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