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Kleene Algebra with Products and Iteration Theories

Authors Dexter Kozen, Konstantinos Mamouras



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LIPIcs.CSL.2013.415.pdf
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Dexter Kozen
Konstantinos Mamouras

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Dexter Kozen and Konstantinos Mamouras. Kleene Algebra with Products and Iteration Theories. In Computer Science Logic 2013 (CSL 2013). Leibniz International Proceedings in Informatics (LIPIcs), Volume 23, pp. 415-431, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2013)
https://doi.org/10.4230/LIPIcs.CSL.2013.415

Abstract

We develop a typed equational system that subsumes both iteration theories and typed Kleene algebra in a common framework. Our approach is based on cartesian categories endowed with commutative strong monads to handle nondeterminism.
Keywords
  • Kleene algebra
  • typed Kleene algebra
  • iteration theories

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