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Authors: Kufleitner, Manfred
Lauser, Alexander
Title: Around dot-depth one
Issue Date: 2011 Arbeitspapier
Series/Report no.: Technischer Bericht / Universität Stuttgart, Fakultät Informatik, Elektrotechnik und Informationstechnik;2011,3
Abstract: The dot-depth hierarchy is a classification of star-free languages. It is related to the quantifier alternation hierarchy of first-order logic over finite words. We consider fragments of languages with dot-depth 1/2 and dot-depth 1 obtained by prohibiting the specification of prefixes or suffixes. As it turns out, these language classes are in one-to-one correspondence with fragments of existential first-order logic without min- or max-predicate. For all fragments, we obtain effective algebraic characterizations. Moreover, we give new combinatorial proofs for the decidability of the membership problem for dot-depth 1/2 and dot-depth 1.
Appears in Collections:05 Fakultät Informatik, Elektrotechnik und Informationstechnik

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