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regular grammars based on lattice-ordered semirings are given. It is shown that
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DFA under some finite condition, the Pump Lemma holds if
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NFA. Further, it is verified that the concatenation of
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regular language. Similar to classical cases and automata theory based on lattice-ordered monoids, it is also found that
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regular grammars are equivalent to each other when
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is a complete lattice.
- Content Type Journal Article
- DOI 10.1007/s00500-010-0565-3
- Authors
- Xian Lu, AMSS Institute of Mathematics, Academia Sinica Beijing 100190 People’s Republic of China
- Yun Shang, AMSS Institute of Mathematics, Academia Sinica Beijing 100190 People’s Republic of China
- Ruqian Lu, AMSS Institute of Mathematics, Academia Sinica Beijing 100190 People’s Republic of China
- Journal Soft Computing – A Fusion of Foundations, Methodologies and Applications
- Online ISSN 1433-7479
- Print ISSN 1432-7643