*-Continuous Kleene $\omega$-Algebras for Energy Problems

Fahrenberg, Uli; Legay, Axel; Ésik, Zoltán

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*-Continuous Kleene $\omega$ -Algebras for Energy Problems

Authors: Uli Fahrenberg
Axel Legay
Zoltán Ésik
Publication date: 1 September 2015
Publisher: 'Open Publishing Association'
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Abstract

Energy problems are important in the formal analysis of embedded or autonomous systems. Using recent results on star-continuous Kleene omega-algebras, we show here that energy problems can be solved by algebraic manipulations on the transition matrix of energy automata. To this end, we prove general results about certain classes of finitely additive functions on complete lattices which should be of a more general interest.Comment: In Proceedings FICS 2015, arXiv:1509.0282