Displaying similar documents to “The 3 x + 1 problem as a string rewriting system.”

On the D0L Repetition Threshold

Ilya Goldstein (2010)

RAIRO - Theoretical Informatics and Applications

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The repetition threshold is a measure of the extent to which there need to be consecutive (partial) repetitions of finite words within infinite words over alphabets of various sizes. Dejean's Conjecture, which has been recently proven, provides this threshold for all alphabet sizes. Motivated by a question of Krieger, we deal here with the analogous threshold when the infinite word is restricted to be a D0L word. Our main result is that, asymptotically, this threshold does not exceed...

Dynamic programming for reduced NFAs for approximate string and sequence matching

Jan Holub (2002)

Kybernetika

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searching for all occurrences of a pattern (string or sequence) in some text, where the pattern can occur with some limited number of errors given by edit distance. Several methods were designed for the approximate string matching that simulate nondeterministic finite automata (NFA) constructed for this problem. This paper presents reduced NFAs for the approximate string matching usable in case, when we are interested only in occurrences having edit distance less than or equal to a given...