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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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