The kleene and the Parikh Theorem in complete semirings

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Abstract

The Kleene and the Parikh Theorem are generalized to complete semirings with the additional property that limits can be defined by infinite sums.

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Kuich, W. (1987). The kleene and the Parikh Theorem in complete semirings. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 267 LNCS, pp. 212–225). Springer Verlag. https://doi.org/10.1007/3-540-18088-5_17

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