Authors: Droste, Manfred
Meinecke, Ingmar
Šešelja, Branimir
Tepavčević, Andreja 
Title: A cascade decomposition of weighted finite transition systems
Journal: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume: 6795 LNCS
First page: 472
Last page: 473
Conference: 15th International Conference on Developments in Language Theory, DLT 2011; Milan; Italy; 19 July 2011 through 22 July 2011
Issue Date: 29-Jul-2011
Rank: M33
ISBN: 978-3-642-22320-4
ISSN: 0302-9743
DOI: 10.1007/978-3-642-22321-1_43
Abstract: 
We consider weighted finite transition systems with weights from naturally ordered semirings. Such semirings comprise distributive lattices as well as the natural numbers with ordinary addition and multiplication, and the max -plus-semiring. For these systems we explore the concepts of covering and cascade product. We show a cascade decomposition result for such weighted finite transition systems using special partitions of the state set of the system. This extends a classical result of automata theory to the weighted setting.
Publisher: Springer Link
Project: Advanced analytical, numerical and analysis methods of applied fluid mechanics and complex systems 
DAAD-Serbia project “Weighted Automata over Semirings and Lattices”

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