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Grammar-Based Compression in a Streaming Model

Grammar-Based Compression in a Streaming Model,10.1007/978-3-642-13089-2_23,Computing Research Repository,Travis Gagie,Pawel Gawrychowski

Grammar-Based Compression in a Streaming Model  
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We show that, given a string $s$ of length $n$, with constant memory and logarithmic passes over a constant number of streams we can build a context-free grammar that generates $s$ and only $s$ and whose size is within an $\Oh{\min (g \log g, \sqrt{n \log g})}$-factor of the minimum $g$. This stands in contrast to our previous result that, with polylogarithmic memory and polylogarithmic passes over a single stream, we cannot build such a grammar whose size is within any polynomial of $g$.
Journal: Computing Research Repository - CORR , vol. abs/0912.0, pp. 273-284, 2009
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