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-Continuous Kleene ω-Algebras


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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hal-01100104 , version 1 (05-01-2015)



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