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An ω-Algebra for Real-Time Energy Problems

David Cachera 1 Uli Fahrenberg 2 Axel Legay 2
1 CELTIQUE - Software certification with semantic analysis
Inria Rennes – Bretagne Atlantique , IRISA-D4 - LANGAGE ET GÉNIE LOGICIEL
2 ESTASYS - Efficient STAtistical methods in SYstems of systems
Inria Rennes – Bretagne Atlantique , IRISA-D4 - LANGAGE ET GÉNIE LOGICIEL
Abstract : We develop a *-continuous Kleene ω-algebra of real-time energy functions. Together with corresponding automata, these can be used to model systems which can consume and regain energy (or other types of resources) depending on available time. Using recent results on *-continuous Kleene ω-algebras and computability of certain manipulations on real-time energy functions, it follows that reachability and Büchi acceptance in real-time energy automata can be decided in a static way which only involves manipulations of real-time energy functions.
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Submitted on : Thursday, December 3, 2015 - 3:51:46 PM
Last modification on : Tuesday, December 8, 2020 - 9:45:30 AM
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David Cachera, Uli Fahrenberg, Axel Legay. An ω-Algebra for Real-Time Energy Problems. 35th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science, Dec 2015, Bengaluru, India. pp.394. ⟨hal-01237667⟩

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