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Abstract : 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, and that for Büchi automata over *-continuous Kleene ω-algebras, one can compute the associated infinitary power series.
https://hal.inria.fr/hal-01237648 Contributor : Uli FahrenbergConnect in order to contact the contributor Submitted on : Thursday, December 3, 2015 - 3:32:34 PM Last modification on : Thursday, January 20, 2022 - 5:33:19 PM Long-term archiving on: : Saturday, April 29, 2017 - 5:40:01 AM
Zoltán Esik, Uli Fahrenberg, Axel Legay. -Continuous Kleene ω-Algebras. Developments in Language Theory - 19th International Conference, Jul 2015, Liverpool, United Kingdom. pp.240-251. ⟨hal-01237648⟩