arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1006.4646cs.FL
收藏

两种组合操作的状态复杂性:反向链式和星形链式

State Complexity of Two Combined Operations: Reversal-Catenation and Star-Catenation

Bo Cui, Yuan Gao, Lila Kari, Sheng Yu

摘要:

在本文中,我们表明,由于从先前操作中获得的结果自动机的结构属性,组合操作的状态复杂度可能不相等,但接近于其组件操作的状态复杂度的数学组成。特别地,我们提供了两种见证组合操作:反转与链接组合和星形与链接组合。

英文摘要:

In this paper, we show that, due to the structural properties of the resulting automaton obtained from a prior operation, the state complexity of a combined operation may not be equal but close to the mathematical composition of the state complexities of its component operations. In particular, we provide two witness combined operations: reversal combined with catenation and star combined with catenation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑