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Semirings and pseudo MV algebras

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Abstract

In this paper, we describe the relationships between pseudo MV algebras and semirings. We also give definitions of automata on lattice ordered semirings, prove that the family of K-Languages is closed under union, and discuss the conditions for the closedness of families of K-languages under intersection, generalized intersection and reversal operations.

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Authors and Affiliations

  1. Institute of Mathematics, AMSS, Academia Sinica, Beijing, 100080, People’s Republic of China

    Yun Shang & Ruqian Lu

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  1. Yun Shang
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  2. Ruqian Lu
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Correspondence to Yun Shang.

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Shang, Y., Lu, R. Semirings and pseudo MV algebras. Soft Comput 11, 847–853 (2007). https://doi.org/10.1007/s00500-006-0136-9

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  • DOI: https://doi.org/10.1007/s00500-006-0136-9

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