Duplication Roots

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Duplication Roots
Recently the duplication closure of words and languages has received much interest. We investigate a reversal of it: the duplication root reduces a word to a square-free one. After stating a few elementary properties of this type of root, we explore the question whether or not a language has finite duplication root. For regular languages and uniformly bounded duplication root this is decidable. The main result then concerns the closure of regular and context-free languages under duplication. Regular languages are closed under bounded and uniformly bounded duplication root, while neither regular nor contextfree language are closed under general duplication root. 1 Duplication A mutation, which occurs in DNA strands, is the duplication of a factor inside a strand. The interpretation of this as an operation on a string has inspired much recent work in Formal Languages, most prominently the duplication closure. The duplication closure of a word was introduced by Dassow et al. [6], who sho...
Peter Leupold
Added 29 Oct 2010
Updated 29 Oct 2010
Type Conference
Year 2007
Where DLT
Authors Peter Leupold
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