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On Computational Power of Partially Blind Automata

机译:论部分盲自动机的计算能力

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In this paper we deal with 1-way multihead finite automata, in which the symbol under only one head (called read head) controls its move and other heads cannot distinguish the input symbols, they can only distinguish the end-marker from the other input symbols and they are called the blind head. We call such automaton a partially blind multihead automaton. We prove that partially blind k+1-head finite automata are more powerful than such k-head finite automata. We show also that nondeterministic partially blind k-head finite automata languages are not closed under iteration and intersection for any k2, and moreover, deterministic partially blind k head finite automata languages are not closed under intersection, union, complementation and reversal for any k2. Finally we prove that deterministic partially blind k-head finite automata with endmarker are more powerful that such automata without endmarker for each k4.
机译:在本文中,我们处理了1向多头有限自动机,其中只有一个头(称为读头)下的符号控制其移动,而其他头则不能区分输入符号,它们只能将结束标记与其他输入区分开。符号,它们被称为盲目符号。我们称这种自动机为部分盲的多头自动机。我们证明了部分盲k + 1头有限自动机比这种k头有限自动机更强大。我们还表明,对于任何k2,不确定性部分盲k头有限自动机语言在迭代和交集下均不会关闭,此外,对于任何k2,不确定性部分盲k头有限自动机语言在交集,并集,互补和逆转下不会封闭。最终,我们证明具有确定性的带有末端标记的部分k头有限自动机比没有每个末端k4的具有末端标记的这种自动机更强大。

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