将博弈论和树论方法整合到康威数中

IF 1 Q1 MATHEMATICS

Formalized Mathematics Pub Date : 2023-09-01 DOI:10.2478/forma-2023-0019

Karol Pąk

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引用次数: 0

摘要

摘要在本文中，我们发展了[9]中概述的康威数的形式化概念。我们主要关注约翰-康威（John Conway）的开创性著作第 1 章 "有序与相等的性质 "中所包含的预排序性质和生日算术。我们还提出了一种根据预排序定义的关系选择类代表的方法，以便于将康威数的原始定义和树理论定义所获得的结果结合起来。

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Integration of Game Theoretic and Tree Theoretic Approaches to Conway Numbers

Summary In this article, we develop our formalised concept of Conway numbers as outlined in [9]. We focus mainly pre-order properties, birthday arithmetic contained in the Chapter 1, Properties of Order and Equality of John Conway’s seminal book. We also propose a method for the selection of class representatives respecting the relation defined by the pre-ordering in order to facilitate combining the results obtained for the original and tree-theoretic definitions of Conway numbers.

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来源期刊

Formalized Mathematics MATHEMATICS-

自引率

0.00%

发文量

审稿时长

10 weeks

期刊介绍： Formalized Mathematics is to be issued quarterly and publishes papers which are abstracts of Mizar articles contributed to the Mizar Mathematical Library (MML) - the basis of a knowledge management system for mathematics.