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Average Analysis of Glushkov Automata under a BST-Like Model

Abstract : 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 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.
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Contributor : Cyril Nicaud Connect in order to contact the contributor
Submitted on : Wednesday, January 30, 2013 - 5:09:11 PM
Last modification on : Thursday, September 29, 2022 - 2:21:15 PM
Long-term archiving on: : Monday, June 17, 2013 - 2:47:57 PM


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  • HAL Id : hal-00620382, version 1


Cyril Nicaud, Carine Pivoteau, Benoît Razet. Average Analysis of Glushkov Automata under a BST-Like Model. 30th Foundations of Software Technology and Theoretical Computer Science (FSTTCS'10), 2010, India. pp.388-399. ⟨hal-00620382⟩



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