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On the Topological Complexity of Infinitary Rational Relations

Published 12 Mar 2008 in cs.LO, cs.CC, and math.LO | (0803.1841v1)

Abstract: We prove in this paper that there exists some infinitary rational relations which are analytic but non Borel sets, giving an answer to a question of Simonnet [Automates et Th\'eorie Descriptive, Ph. D. Thesis, Universit\'e Paris 7, March 1992].

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