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arxiv: 1404.5244 · v4 · pith:6MACNZIPnew · submitted 2014-04-21 · 💻 cs.FL · cs.DS

Pal^k Is Linear Recognizable Online

classification 💻 cs.FL cs.DS
keywords linearmathrmonlinelanguagerecognizablespacetimealgorithm
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Given a language $L$ that is online recognizable in linear time and space, we construct a linear time and space online recognition algorithm for the language $L\cdot\mathrm{Pal}$, where $\mathrm{Pal}$ is the language of all nonempty palindromes. Hence for every fixed positive $k$, $\mathrm{Pal}^k$ is online recognizable in linear time and space. Thus we solve an open problem posed by Galil and Seiferas in 1978.

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