An Example of Pi^0_3-complete Infinitary Rational Relation

Details An Example of Pi^0_3-complete Infinitary Rational Relation An Example of Pi^0_3-complete Infinitary Rational Relation

2007-02-12

arxiv.org/abs/math/0702334v1

Mathematics

Logic

Scientific paper

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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