Wadge degrees of Δ20$\mathbf{\Delta }^0_2$ omega‐powers

Author:

Finkel Olivier1ORCID,Lecomte Dominique23

Affiliation:

1. CNRS Université Paris Cité and Sorbonne Université, IMJ‐PRG Paris France

2. Sorbonne Université and Université Paris Cité CNRS, IMJ‐PRG Paris France

3. Université de Picardie I.U.T. de l'Oise Creil France

Abstract

AbstractWe provide, for each natural number and each class among , , , a regular language whose associated omega‐power is complete for this class.

Publisher

Wiley

Reference23 articles.

1. J. R.Büchi On a decision method in restricted second order arithmetic in:Proceedings of the 1960 International Congress on Logic Methodology and Philosophy of Science Studies in Logic and the Foundations of Mathematics Vol. 44(Stanford University Press 1962) pp.1–11.

2. J.DuparcandO.Finkel Anω$\omega$‐power of a context free language which is Borel aboveΔω0${\Delta }_\omega ^0$ in:Proceedings of the International Conference Foundations of the Formal Sciences V: Infinite Games Bonn Germany edited byS.Bold B.Löwe T.Räsch andJ.vanBenthem Studies in Logic Vol. 11 (College Publications London 2007) pp.109–122.

3. A hierarchy of sets. I

4. Topological properties of omega context-free languages

5. Borel hierarchy and omega context free languages

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