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MPC
2004
Springer

A Free Construction of Kleene Algebras with Tests

13 years 9 months ago
A Free Construction of Kleene Algebras with Tests
In this paper we define Kleene algebra with tests in a slightly more general way than Kozen’s definition. Then we give an explicit construction of the free Kleene algebra with tests generated by a pair of sets. Moreover we show that our free Kleene algebra with tests is isomorphic to Kozen and Smith’s Kleene algebra with tests if their construction available, that is, a generator of the Boolean algebra is finite. Finally, we show that an infinitely-generated free Kleene algebra with tests in the sense of Kozen can be obtained from our Free algebra.
Hitoshi Furusawa
Added 02 Jul 2010
Updated 02 Jul 2010
Type Conference
Year 2004
Where MPC
Authors Hitoshi Furusawa
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