Coequalizers and tensor products for continuous idempotent semirings

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Abstract

We provide constructions of coproducts, free extensions, coequalizers and tensor products for classes of idempotent semirings in which certain subsets have least upper bounds and the operations are sup-continuous. Among these classes are the *-continuous Kleene algebras, the μ-continuous Chomsky-algebras, and the unital quantales.

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Hopkins, M., & Leiß, H. (2018). Coequalizers and tensor products for continuous idempotent semirings. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 11194 LNCS, pp. 37–52). Springer Verlag. https://doi.org/10.1007/978-3-030-02149-8_3

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