关于弱结合格和近格

IF 1 Q1 MATHEMATICS

Formalized Mathematics Pub Date : 2021-07-01 DOI:10.2478/forma-2021-0008

Damian Sawicki, Adam Grabowski

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引用次数: 1

摘要

总结。本文的主要目的是正式地介绍两种格的推广，即弱结合格和近格，它们可以通过对通常众所周知的公理的一定弱化而得到。我们展示了[15]第6章中关于弱结合格和近格的一些命题，并讨论了经典公理化的其他版本。在Prover9防bb0辅助工具的帮助下，部分结果在Mizar[1]、[2]体系中得到了验证。

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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On Weakly Associative Lattices and Near Lattices

Summary. The main aim of this article is to introduce formally two generalizations of lattices, namely weakly associative lattices and near lattices, which can be obtained from the former by certain weakening of the usual well-known axioms. We show selected propositions devoted to weakly associative lattices and near lattices from Chapter 6 of [15], dealing also with alternative versions of classical axiomatizations. Some of the results were proven in the Mizar [1], [2] system with the help of Prover9 [14] proof assistant.

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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.