*-Continuous Kleene ω-Algebras for Energy Problems
Zoltán Ésik, Uli Fahrenberg, Axel Legay · Electronic Proceedings in Theoretical Computer Science · 2015
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.