Value Groups of Real Closed Fields and Fragments of Peano Arithmetic

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KUHLMANN, Salma, Merlin CARL, Paola D'AQUINO, 2012. Value Groups of Real Closed Fields and Fragments of Peano Arithmetic

@unpublished{Kuhlmann2012Value-21263, title={Value Groups of Real Closed Fields and Fragments of Peano Arithmetic}, year={2012}, author={Kuhlmann, Salma and Carl, Merlin and D'Aquino, Paola} }

<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/21263"> <dc:contributor>Carl, Merlin</dc:contributor> <dc:contributor>D'Aquino, Paola</dc:contributor> <dc:creator>D'Aquino, Paola</dc:creator> <dc:rights>deposit-license</dc:rights> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2013-01-28T09:44:19Z</dcterms:available> <dc:language>eng</dc:language> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2013-01-28T09:44:19Z</dc:date> <dcterms:title>Value Groups of Real Closed Fields and Fragments of Peano Arithmetic</dcterms:title> <dc:creator>Carl, Merlin</dc:creator> <dc:creator>Kuhlmann, Salma</dc:creator> <dc:contributor>Kuhlmann, Salma</dc:contributor> <dcterms:issued>2012</dcterms:issued> <dcterms:rights rdf:resource="http://nbn-resolving.org/urn:nbn:de:bsz:352-20140905103605204-4002607-1"/> <dcterms:abstract xml:lang="eng">We investigate real closed fields admitting an integer part of which non-negative cone is a model of Peano Arithmetic (or of its fragments, e.g. bounded arithmetic with exponentiation). We obtain necessary conditions on the value group of such a real closed field. These allow us to construct a class of examples of real closed fields which do not admit such integer parts.</dcterms:abstract> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/21263"/> </rdf:Description> </rdf:RDF>

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