Wadge degrees of Δ 2 0 $\mathbf{\Delta }^0_2$ omega-powers

Pub Date : 2024-09-06 DOI:10.1002/malq.202400024
Olivier Finkel, Dominique Lecomte
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引用次数: 0

Abstract

We provide, for each natural number n $n$ and each class among D n ( Σ 1 0 ) $D_n(\mathbf {\Sigma }^0_1)$ , D ̌ n ( Σ 1 0 ) $\check{D}_n(\mathbf {\Sigma }^0_1)$ , D 2 n + 1 ( Σ 1 0 ) D ̌ 2 n + 1 ( Σ 1 0 ) $D_{2n+1}(\mathbf {\Sigma }^0_1)\oplus \check{D}_{2n+1}(\mathbf {\Sigma }^0_1)$ , a regular language whose associated omega-power is complete for this class.

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Δ20$mathbf\{Delta }^0_2$ Ω-幂的瓦奇度
我们为每个自然数和ⅣⅤ类中的每个类提供一种正则表达式语言,其相关的Ω-幂对该类来说是完整的。
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