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-Continuous Kleene ω-Algebras

Zoltán Ésik 1 Uli Fahrenberg 2 Axel Legay 2 
1 Institute of Informatics
Institute of Informatics
2 ESTASYS - Efficient STAtistical methods in SYstems of systems
Inria Rennes – Bretagne Atlantique , IRISA-D4 - LANGAGE ET GÉNIE LOGICIEL
Abstract : We define and study basic properties of *-continuous Kleene ω-algebras that involve a *-continuous Kleene algebra with a *-continuous action on a semimodule and an infinite product operation that is also *-continuous. We show that *-continuous Kleene ω-algebras give rise to iteration semiring-semimodule pairs. We show how our work can be applied to solve certain energy problems for hybrid systems.
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Preprints, Working Papers, ...
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Contributor : Uli Fahrenberg Connect in order to contact the contributor
Submitted on : Monday, January 5, 2015 - 10:42:24 PM
Last modification on : Thursday, January 20, 2022 - 5:33:21 PM
Long-term archiving on: : Monday, April 6, 2015 - 12:05:38 PM


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  • HAL Id : hal-01100104, version 1
  • ARXIV : 1501.01118


Zoltán Ésik, Uli Fahrenberg, Axel Legay. -Continuous Kleene ω-Algebras. 2014. ⟨hal-01100104⟩



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