An omega-power of a context-free language which is Borel above Delta^0_omega

Details An omega-power of a context-free language which is Borel above Delta^0_omega An omega-power of a context-free language which is Borel above Delta^0_omega

2008-01-11

arxiv.org/abs/0801.1783v1

Dans Proceedings of the International Conference on Foundations of the Formal Sciences V : Infinite Games - Foundations of the

Computer Science

Computational Complexity

To appear in the Proceedings of the International Conference Foundations of the Formal Sciences V : Infinite Games, November 2

Scientific paper

We use erasers-like basic operations on words to construct a set that is both
Borel and above Delta^0_omega, built as a set V^\omega where V is a language of
finite words accepted by a pushdown automaton. In particular, this gives a
first example of an omega-power of a context free language which is a Borel set
of infinite rank.

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