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On Partially Additive Kleene Algebras

Research paper by Riccardo Pucella

Indexed on: 16 Jan '05Published on: 16 Jan '05Published in: Computer Science - Logic in Computer Science



Abstract

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.