Timing Parameter Characterization of Real-Time Systems.
Journal
Implementation and Application of Automata, 8th International Conference, CIAA 2003, Santa Barbara, California, USA, July 16-18, 2003, Proceedings
Pages
23-34
Date Issued
2003
Author(s)
Wang, Farn
Abstract
We investigate the problem of characterizing the solution spaces for timed automata augmented by unknown timing parameters (called timing parameter automata (TPA)). The main contribution of this paper is that we identify three non-trivial subclasses of TPAs, namely, upper-bound, lower-bound and bipartite TPAs, and analyze how hard it is to characterize the solution space. As it turns out, we are able to give complexity bounds for the sizes of the minimal (resp., maximal) elements which completely characterize the upward-closed (resp., downward-closed) solution spaces of upper-bound (resp., lower-bound) TPAs. For bipartite TPAs, it is shown that their solution spaces are not semilinear in general. We also extend our analysis to TPAs equipped with counters without zero-test capabilities. © Springer-Verlag Berlin Heidelberg 2003.
Type
conference paper
