Please use this identifier to cite or link to this item: http://dx.doi.org/10.18419/opus-2667
Authors: Dartois, Luc
Kufleitner, Manfred
Lauser, Alexander
Title: Rankers over infinite words
Issue Date: 2010
metadata.ubs.publikation.typ: Arbeitspapier
Series/Report no.: Technischer Bericht / Universität Stuttgart, Fakultät Informatik, Elektrotechnik und Informationstechnik;2010,1
URI: http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-52875
http://elib.uni-stuttgart.de/handle/11682/2684
http://dx.doi.org/10.18419/opus-2667
Abstract: We consider the fragments FO2, the intersection of Sigma2 and FO2, the intersection of Pi2 and FO2, and Delta2 of first-order logic FO[<] over finite and infinite words. For all four fragments, we give characterizations in terms of rankers. In particular, we generalize the notion of a ranker to infinite words in two possible ways. Both extensions are natural in the sense that over finite words, they coincide with classical rankers and over infinite words, they both have the full expressive power of FO2. Moreover, the first extension of rankers admits a characterization of the intersection of Sigma2 and FO2 while the other leads to a characterization of the intersection of Pi2 and FO2. Both versions of rankers yield characterizations of the fragment Delta2. As a byproduct, we also obtain characterizations based on unambiguous temporal logic and unambiguous interval temporal logic.
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