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

Published 12 Feb 2007 in math.LO, cs.CC, and cs.LO | (0702334v1)

Abstract: 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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