Low scattered linear orders

IF 0.7 4区数学 Q3 COMPUTER SCIENCE, THEORY & METHODS Journal of Logic and Computation Pub Date : 2024-03-21 DOI:10.1093/logcom/exae008

Andrey Frolov, Maxim Zubkov

引用次数: 0

Abstract

In 1998 R. Downey formulated a problem: to describe a property $P$ of classical order types, which guarantees that if $\mathcal{L}$ is a low linear order and $P$ holds for the order type of $\mathcal{L}$ then $\mathcal{L}$ is isomorphic to a computable linear order. We find a new such property $P$. Also, we give an upper bound on a complexity of an isomorphism between computable and low copies and show that this bound is sharp.

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低分散线性阶次

1998 年，R. Downey 提出了一个问题：描述经典阶类型的一个性质 $P$，它保证如果 $\mathcal{L}$ 是一个低线性阶，并且 $P$ 对 $\mathcal{L}$ 的阶类型成立，那么 $\mathcal{L}$ 与一个可计算的线性阶同构。我们发现了一个新的此类性质 $P$。同时，我们给出了可计算与低副本之间同构的复杂度上限，并证明这个上限是尖锐的。

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

Journal of Logic and Computation 工程技术-计算机：理论方法

CiteScore

1.90

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Logic has found application in virtually all aspects of Information Technology, from software engineering and hardware to programming and artificial intelligence. Indeed, logic, artificial intelligence and theoretical computing are influencing each other to the extent that a new interdisciplinary area of Logic and Computation is emerging. The Journal of Logic and Computation aims to promote the growth of logic and computing, including, among others, the following areas of interest: Logical Systems, such as classical and non-classical logic, constructive logic, categorical logic, modal logic, type theory, feasible maths.... Logical issues in logic programming, knowledge-based systems and automated reasoning; logical issues in knowledge representation, such as non-monotonic reasoning and systems of knowledge and belief; logics and semantics of programming; specification and verification of programs and systems; applications of logic in hardware and VLSI, natural language, concurrent computation, planning, and databases. The bulk of the content is technical scientific papers, although letters, reviews, and discussions, as well as relevant conference reviews, are included.

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