Semirings and pseudo MV algebras |
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| Authors: | Yun Shang Ruqian Lu |
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| Affiliation: | (1) Institute of Mathematics, AMSS, Academia Sinica, Beijing, 100080, People’s Republic of China |
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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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| Keywords: | Pseudo MV algebras Pseudo BL algebras Semirings K-Σ automata K-languages |
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