Average Analysis of Glushkov Automata under a BST-Like Model

Cyril Nicaud, Carine Pivoteau, Benoît Razet, Marc Herbstritt
2010 Foundations of Software Technology and Theoretical Computer Science  
We study the average number of transitions in Glushkov automata built from random regular expressions. This statistic highly depends on the probabilistic distribution set on the expressions. A recent work shows that, under the uniform distribution, regular expressions lead to automata with a linear number of transitions. However, uniform regular expressions are not necessarily a satisfying model. Therefore, we rather focus on an other model, inspired from random binary search trees (BST), which
more » ... is widely used, in particular for testing. We establish that, in this case, the average number of transitions becomes quadratic according to the size of the regular expression.
doi:10.4230/lipics.fsttcs.2010.388 dblp:conf/fsttcs/NicaudPR10 fatcat:wcphknjfirabdcymkotl2kcnna