Mathematical Foundations of Programming Semantics
Volume 802 of the series Lecture Notes in Computer Science pp 160176
Time abstracted bisimulation: Implicit specifications and decidability
 Kim G. LarsenAffiliated withDepartment of Mathematics and Computer Science, Institute for Electronic Systems, Aalborg University
 , Wang YiAffiliated withDepartment of Computer Systems, Uppsala University
Abstract
In the last few years a number of realtime process calculi have emerged with the purpose of capturing important quantitative aspects of realtime systems. In addition, a number of process equivalences sensitive to timequantities 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 timeabstracting (bisimulation) equivalence, and investigate its properties with respect to the realtime process calculus of [Wan90]. Seemingly, such an equivalence would yield very little information (if any) about the timing properties of a process. However, timeabstracted reasoning about a composite process may yield important information about the relative timingproperties 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 timeabstracted equivalence precisely if the two processes are themselves timed equivalent.
As our second main theorem, we prove that timeabstracted equivalence is decidable for the calculus of [Wan90] using classical methods based on a finitestate symbolic, structured operational semantics.
 Title
 Time abstracted bisimulation: Implicit specifications and decidability
 Book Title
 Mathematical Foundations of Programming Semantics
 Book Subtitle
 9th International Conference New Orleans, LA, USA, April 7–10, 1993 Proceedings
 Pages
 pp 160176
 Copyright
 1994
 DOI
 10.1007/3540580271_8
 Print ISBN
 9783540580270
 Online ISBN
 9783540484196
 Series Title
 Lecture Notes in Computer Science
 Series Volume
 802
 Series ISSN
 03029743
 Publisher
 Springer Berlin Heidelberg
 Copyright Holder
 SpringerVerlag
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 Editors
 Authors

 Kim G. Larsen ^{(1)}
 Wang Yi ^{(2)}
 Author Affiliations

 1. Department of Mathematics and Computer Science, Institute for Electronic Systems, Aalborg University, DK9220, Aalborg, Denmark
 2. Department of Computer Systems, Uppsala University, Box 325, S751 05, Uppsala, Sweden
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