Bisimulation, Logic and Mobility for Markovian Systems


Bujorianu, L.M. and Bujorianu, M.C. (2008) Bisimulation, Logic and Mobility for Markovian Systems. In: Proceedings of the 18th International Symposium on Mathematical Theory of Networks & Systems, 28 July - 1 August 2008, Blacksburg, Virginia, USA (pp. p. 12).

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Abstract:Nowadays, anyone can easily observe an explosive development in distributed em-
bedded systems like sensor networks, gene regulatory networks and other system
biology areas. A general tendency in this development is the integration of di er-
ent features, like mobility, randomness, continuity and discrete/continuous mixed
behaviors. In this paper, we present two formal mechanisms for developing a for-
mal framework, in which these various features can be investigated altogether. One
mechanism represents a unifying axiomatization of deterministic and stochastic au-
tomata, in the spirit of the recently introduced paradigm called Hilbertian formal
methods [6]. The second one proposes a generic technique based on the categorical
domain theory for adding new features to an existing model. This mechanism consti-
tutes a formal approach to a recent development paradigm called multi-dimensional
codesign [5]. In the limited space of this paper, we restrict our presentation to a
class of systems that mix continuous evolutions with logical mobility.
Item Type:Conference or Workshop Item
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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