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arxiv: math/0702334 · v1 · submitted 2007-02-12 · 🧮 math.LO · cs.CC· cs.LO

An Example of Pi⁰₃-complete Infinitary Rational Relation

classification 🧮 math.LO cs.CCcs.LO
keywords exampleinfinitaryrationalrelationcompleteacceptedautomatonborel
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We give in this paper an example of infinitary rational relation, accepted by a 2-tape B\"{u}chi automaton, which is Pi^0_3-complete in the Borel hierarchy. Moreover the example of infinitary rational relation given in this paper has a very simple structure and can be easily described by its sections.

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