Time abstracted bisimulation: Implicit specifications and decidability

  • Kim G. Larsen
  • Wang Yi
Conference paper

DOI: 10.1007/3-540-58027-1_8

Part of the Lecture Notes in Computer Science book series (LNCS, volume 802)
Cite this paper as:
Larsen K.G., Yi W. (1994) Time abstracted bisimulation: Implicit specifications and decidability. In: Brookes S., Main M., Melton A., Mislove M., Schmidt D. (eds) Mathematical Foundations of Programming Semantics. MFPS 1993. Lecture Notes in Computer Science, vol 802. Springer, Berlin, Heidelberg


In the last few years a number of real-time process calculi have emerged with the purpose of capturing important quantitative aspects of real-time systems. In addition, a number of process equivalences sensitive to time-quantities have been proposed, among these the notion of timed (bisimulation) equivalence in [RR86, DS89, HR91, BB89, NRSV90, MT90, Wan91b].

In this paper, we introduce a time-abstracting (bisimulation) equivalence, and investigate its properties with respect to the real-time process calculus of [Wan90]. Seemingly, such an equivalence would yield very little information (if any) about the timing properties of a process. However, time-abstracted reasoning about a composite process may yield important information about the relative timing-properties of the components of the system. In fact, we show as a main theorem that such implicit reasoning will reveal all timing aspects of a process. More precisely, we prove that two processes are interchangeable in any context up to time-abstracted equivalence precisely if the two processes are themselves timed equivalent.

As our second main theorem, we prove that time-abstracted equivalence is decidable for the calculus of [Wan90] using classical methods based on a finite-state symbolic, structured operational semantics.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • Kim G. Larsen
    • 1
  • Wang Yi
    • 2
  1. 1.Department of Mathematics and Computer Science, Institute for Electronic SystemsAalborg UniversityAalborgDenmark
  2. 2.Department of Computer SystemsUppsala UniversityUppsalaSweden

Personalised recommendations