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» On the Average Size of Glushkov's Automata
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LATA
2009
Springer
13 years 11 months ago
On the Average Size of Glushkov's Automata
Abstract. Glushkov’s algorithm builds an ε-free nondeterministic automaton from a given regular expression. In the worst case, its number of states is linear and its number of t...
Cyril Nicaud
FSTTCS
2010
Springer
13 years 3 months ago
Average Analysis of Glushkov Automata under a BST-Like Model
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 e...
Cyril Nicaud, Carine Pivoteau, Benoît Razet
DLT
2010
13 years 6 months ago
On the Average Number of States of Partial Derivative Automata
The partial derivative automaton (Apd) is usually smaller than other non-deterministic finite automata constructed from a regular expression, and it can be seen as a quotient of th...
Sabine Broda, António Machiavelo, Nelma Mor...
DLT
2008
13 years 6 months ago
The Average State Complexity of the Star of a Finite Set of Words Is Linear
We prove that, for the uniform distribution over all sets X of m (that is a fixed integer) non-empty words whose sum of lengths is n, DX , one of the usual deterministic automata r...
Frédérique Bassino, Laura Giambruno,...
CGO
2008
IEEE
13 years 7 months ago
Comprehensive path-sensitive data-flow analysis
Data-flow analysis is an integral part of any aggressive optimizing compiler. We propose a framework for improving the precision of data-flow analysis in the presence of complex c...
Aditya V. Thakur, R. Govindarajan