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An algebraic approach to modeling probabilistic discrete event systems

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1 Author(s)
V. K. Garg ; Dept. of Electr. & Comput. Eng., Texas Univ., Austin, TX, USA

The author defines probabilistic languages and probabilistic automata over a finite set of events. Operators under which the set of probabilistic languages (p-languages) is closed, thus forming an algebra of p-languages, are also defined. It is shown that the operators are continuous in it. Hence, recursive equations may be defined in this algebra using fixpoints of continuous functions. Thus, p-languages form a suitable theoretical foundation for specifying and analyzing probabilistic systems

Published in:

Decision and Control, 1992., Proceedings of the 31st IEEE Conference on

Date of Conference:

1992