A proof-theoretic metatheorem for tracial von Neumann algebras

IF 0.4 4区数学 Q4 LOGIC

Mathematical Logic Quarterly Pub Date : 2023-05-29 DOI:10.1002/malq.202200048

Liviu Păunescu, Andrei Sipoş

引用次数: 1

Abstract

We adapt a continuous logic axiomatization of tracial von Neumann algebras due to Farah, Hart and Sherman in order to prove a metatheorem for this class of structures in the style of proof mining, a research programme that aims to obtain the hidden computational content of ordinary mathematical proofs using tools from proof theory.

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迹von Neumann代数的一个证明论元定理

我们采用Farah、Hart和Sherman提出的tracil von Neumann代数的连续逻辑公理化，以证明挖掘的形式证明这类结构的元定理，这是一个旨在使用证明理论工具获得普通数学证明的隐藏计算内容的研究计划。

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

Mathematical Logic Quarterly 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematical Logic Quarterly publishes original contributions on mathematical logic and foundations of mathematics and related areas, such as general logic, model theory, recursion theory, set theory, proof theory and constructive mathematics, algebraic logic, nonstandard models, and logical aspects of theoretical computer science.