期刊名称:Electronic Proceedings in Theoretical Computer Science
电子版ISSN:2075-2180
出版年度:2009
卷号:3
页码:79-89
DOI:10.4204/EPTCS.3.7
出版社:Open Publishing Association
摘要: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.