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Computing -Free NFA from Regular Expressions in ( log()) Time

Christian HagenahAnca Muscholl — 2010

RAIRO - Theoretical Informatics and Applications

The standard procedure to transform a regular expression of size to an -free nondeterministic finite automaton yields automata with states and ( ) transitions. For a long time this was supposed to be also the lower bound, but a result by Hromkovic showed how to build an -free NFA with only ( log()) transitions. The current lower bound on the number of transitions is Ω( log()). A rough running time estimation for the common follow sets (CFS) construction proposed by Hromkovič ...

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