vix.ing · top · new · best · stats · spec

*-Continuous Kleene ω-Algebras for Energy Problems

2015/09/10 by Zoltán Ésik, Uli Fahrenberg, Axel Legay
Computer Science · #cs.LO #cs.FL

paper · pdf · doi:10.4204/eptcs.191.6

published as EPTCS 191, 2015, pp. 48-59 · In Proceedings FICS 2015, arXiv:1509.02826

arxiv created 2015/09/10 · arxiv updated 2015/09/11

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.

Citations