On the Topological Complexity of Infinitary Rational Relations

Computer Science – Logic in Computer Science

Scientific paper

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Scientific paper

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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