On Partially Additive Kleene Algebras
Abstract
Description
We define the notion of a partially additive Kleene algebra, which is a Kleene algebra where the + operation need only be partially defined. These structures formalize a number of examples that cannot be handled directly by Kleene algebras. We relate partially additive Kleene algebras to existing algebraic structures, by exhibiting categorical connections with Kleene algebras, partially additive categories, and closed semirings.
23 pages; to be presented at the 8th International Conference on Relational Methods in Computer Science (RelMiCS 8)
23 pages; to be presented at the 8th International Conference on Relational Methods in Computer Science (RelMiCS 8)