拟格的形式化

IF 1 Q1 MATHEMATICS

Formalized Mathematics Pub Date : 2020-07-01 DOI:10.2478/forma-2020-0019

Dominik Kulesza, Adam Grabowski

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引用次数: 2

摘要

本文的主要目的是正式地介绍格的一种推广，即准格，它可以通过一定削弱普通吸收定律而由前一类的公理化得到。我们从[15]给出命题qrt -1到qrt -7，并给出了相应公理系统的一些简短变体。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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Formalization of Quasilattices

Summary The main aim of this article is to introduce formally one of the generalizations of lattices, namely quasilattices, which can be obtained from the axiomatization of the former class by certain weakening of ordinary absorption laws. We show propositions QLT-1 to QLT-7 from [15], presenting also some short variants of corresponding axiom systems. 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.