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Incomplete Transition Complexity of Some Basic Operations

机译:一些基本操作的不完全转变复杂性

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Y. Gao et al. studied for the first time the transition complexity of Boolean operations on regular languages based on not necessarily complete DFAs. For the intersection and the complementation, tight bounds were presented, but for the union operation the upper and lower bounds differ by a factor of two. In this paper we continue this study by giving tight upper bounds for the concatenation, the Kleene star and the reversal operations. We also give a new tight upper bound for the transition complexity of the union, which refutes the conjecture presented by Y. Gao, et al.
机译:Y. Gao等人。在不一定完成DFA的情况下首次研究了布尔操作对常规语言的转换复杂性。对于交叉点和互补,提出了紧张的界限,但对于联盟操作,上限和下限不同两倍。在本文中,我们通过为倾斜,Kleene星和逆转操作提供紧密的上限来继续这项研究。我们还为联盟的过渡复杂性提供了一个新的紧张的上限,这反驳了Y.Gao等人的猜想。

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