Alternatives to the Halpern-Läuchli theorem

IF 0.6 2区数学 Q2 LOGIC

Annals of Pure and Applied Logic Pub Date : 2023-10-01 DOI:10.1016/j.apal.2023.103313

Nedeljko Stefanović

引用次数: 0

Abstract

In this paper, it is shown that the fact that the BPI holds in the Cohen's symmetric model can be used as an equal substitute for the Halpern-Läuchli theorem. Also, some alternatives to the Halpern-Läuchli theorem in the form of absoluteness theorems for a certain class of statements are consequences¹ of such consistency results. The article also contains a new proof of the Halpern-Läuchli theorem.

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Halpern-Läuchli定理的替代方案

本文证明了Cohen对称模型中BPI成立的事实可以用作Halpern-Läuchli定理的等价替代。此外，Halpern-Läuchli定理的一些替代方案，以某类语句的绝对性定理的形式，是这种一致性结果的结果1。文章还包含了Halpern-Läuchli定理的一个新的证明。

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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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.