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Published in:
1992 | OriginalPaper | Chapter
More on Kleene Algebra
Author : Dexter C. Kozen
Published in: The Design and Analysis of Algorithms
Publisher: Springer New York
Included in: Professional Book Archive
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In this lecture we will see how Kleene algebra can be used in a variety of situations involving *-like operations. The key result that allows these applications is that the n x n matrices over a Kleene algebra again form a Kleene algebra. Along the way we will establish a central lemma that establishes the importance of the regular sets Reg Σ over the finite alphabet Σ in reasoning about Kleene algebras in general.