A commutative complemented Kleene algebra of sets of (positive) real numbers is introduced. For the subalgebra generated by finite unions of rational intervals a normal form is found. These are then applied to the complementation problem for real-time automata.
CITATION STYLE
Dima, C. (2000). Real-time automata and the Kleene algebra of sets of real numbers. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1770, pp. 279–289). Springer Verlag. https://doi.org/10.1007/3-540-46541-3_23
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