模态算子扩展框架下的直觉命题演算。第二部分

IF 1 Q1 MATHEMATICS Formalized Mathematics Pub Date : 2022-04-01 DOI:10.2478/forma-2022-0001

Takao Inoué

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引用次数: 1

摘要

本文是inou[5]的延续。正如文中已经提到的，我们用hilbert式证明给出了一些直观可证明的公式。为此，我们利用了一系列直觉演绎定理，这些定理在本文中也通过Mizar系统[2]，[1]给出。我们的直觉命题逻辑IPC公理系统是基于Troelstra和van Dalen [6, p. 68]的H1-IQC命题子系统。我们还欠何亭[4]和范达伦[7]。我们对集合论直觉演绎定理的处理是由于Agata darmochwaov的Mizar文章“量词演算”。演绎定理”[3]。

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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Intuitionistic Propositional Calculus in the Extended Framework with Modal Operator. Part II

Summary This paper is a continuation of Inoué [5]. As already mentioned in the paper, a number of intuitionistic provable formulas are given with a Hilbert-style proof. For that, we make use of a family of intuitionistic deduction theorems, which are also presented in this paper by means of Mizar system [2], [1]. Our axiom system of intuitionistic propositional logic IPC is based on the propositional subsystem of H1-IQC in Troelstra and van Dalen [6, p. 68]. We also owe Heyting [4] and van Dalen [7]. Our treatment of a set-theoretic intuitionistic deduction theorem is due to Agata Darmochwał’s Mizar article “Calculus of Quantifiers. Deduction Theorem” [3].

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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.

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