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Published in:
2015 | OriginalPaper | Chapter
From -Regular Expressions to Büchi Automata via Partial Derivatives
Authors : Peter Thiemann, Martin Sulzmann
Published in: Language and Automata Theory and Applications
Publisher: Springer International Publishing
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We extend Brzozowski derivatives and partial derivatives from regular expressions to
$$\omega $$
-regular expressions and establish their basic properties. We observe that the existing derivative-based automaton constructions do not scale to
$$\omega $$
-regular expressions. We define a new variant of the partial derivative that operates on linear factors and prove that this variant gives rise to a translation from
$$\omega $$
-regular expressions to nondeterministic Büchi automata.