Complexity of winning strategies for Δ⁰₂ games

Author:

Barua Rana

Abstract

For a Δ 2 0 \Delta _2^0 game played on ω \omega , we show that the winning player has a winning strategy that is recursive in E 1 {\mathbb {E}_1} , where E 1 {\mathbb {E}_1} is the total type- 2 2 object that embodies operation A \mathcal {A} .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference10 articles.

1. Representability in some systems of second order arithmetic;Aczel, P.;Israel J. Math.,1970

2. R. Barua, Structure of hyperarithmetical sets of ambiguous Borel classes, I. S. I. Tech. Report no. 15/85, 1985.

3. A note on ₂𝑠𝑐(𝐸₁);Barua, Rana;Proc. Amer. Math. Soc.,1988

4. J. P. Burgess, Classical hierarchies from a modern standpoint, Part I: 𝒞-sets, Fund. Math. 115 (1983), 81-95; Part II: ℛ-sets, 97-105.

5. Perspectives in Mathematical Logic;Hinman, Peter G.,1978

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