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arXiv · 0907.5111

On the Shuffle Automaton Size for Words

Franziska Biegler·Mark Daley·Ian McQuillan
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Abstract

We investigate the state size of DFAs accepting the shuffle of two words. We provide words u and v, such that the minimal DFA for u shuffled with v requires an exponential number of states. We also show some conditions for the words u and v which ensure a quadratic upper bound on the state size of u shuffled with v. Moreover, switching only two letters within one of u or v is enough to trigger the change from quadratic to exponential.

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Franziska Biegler, Mark Daley, Ian McQuillan. 2009-07-29. On the Shuffle Automaton Size for Words. https://doi.org/10.4204/eptcs.3.7

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