强迫π31还原性质与π31均匀化的一次失败

IF 0.6 2区数学 Q2 LOGIC

Annals of Pure and Applied Logic Pub Date : 2023-08-01 DOI:10.1016/j.apal.2023.103292

Stefan Hoffelner

引用次数: 0

摘要

我们一般构造了一个模型，其中π31归约性质为真，而π31均匀化性质为假，从而首次产生了一个分离这两个原理的模型。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Forcing the Π31-reduction property and a failure of Π31-uniformization

We generically construct a model in which the $Π_{3}^{1}$ -reduction property is true and the $Π_{3}^{1}$ -uniformization property is false, thus producing a model which separates these two principles for the first time.

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来源期刊

Annals of Pure and Applied Logic 数学-数学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

200 days

期刊介绍： The journal Annals of Pure and Applied Logic publishes high quality papers in all areas of mathematical logic as well as applications of logic in mathematics, in theoretical computer science and in other related disciplines. All submissions to the journal should be mathematically correct, well written (preferably in English)and contain relevant new results that are of significant interest to a substantial number of logicians. The journal also considers submissions that are somewhat too long to be published by other journals while being too short to form a separate memoir provided that they are of particular outstanding quality and broad interest. In addition, Annals of Pure and Applied Logic occasionally publishes special issues of selected papers from well-chosen conferences in pure and applied logic.