斯科勒姆定理的修正证明

Hitotsubashi journal of arts and sciences Pub Date : 1993-12-01 DOI:10.15057/1829

T. Nagashima

{"title":"斯科勒姆定理的修正证明","authors":"T. Nagashima","doi":"10.15057/1829","DOIUrl":null,"url":null,"abstract":"In [N 91], the author intended to present an easy finitary proof of Skolem's Theorem but unfortunately it turned out to contain some serious errors. This corrected version is self-contained and readers' knowledge of [N 91] is not assuJned. Skolem's Theorem is the following statement: In the classical predicate logic, Iet f be a k-ary function symbol not contained in a formula vxl Vx 9yA(xl' . . . k . . . , xh,y)DB. Then Yx Yx gJ'A(X . . xh,y) :) B 1 ' ' ' k l' \" is valid if and only ,f","PeriodicalId":265291,"journal":{"name":"Hitotsubashi journal of arts and sciences","volume":"54 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Revised Proof of Skolem's Theorem\",\"authors\":\"T. Nagashima\",\"doi\":\"10.15057/1829\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In [N 91], the author intended to present an easy finitary proof of Skolem's Theorem but unfortunately it turned out to contain some serious errors. This corrected version is self-contained and readers' knowledge of [N 91] is not assuJned. Skolem's Theorem is the following statement: In the classical predicate logic, Iet f be a k-ary function symbol not contained in a formula vxl Vx 9yA(xl' . . . k . . . , xh,y)DB. Then Yx Yx gJ'A(X . . xh,y) :) B 1 ' ' ' k l' \\\" is valid if and only ,f\",\"PeriodicalId\":265291,\"journal\":{\"name\":\"Hitotsubashi journal of arts and sciences\",\"volume\":\"54 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1993-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Hitotsubashi journal of arts and sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.15057/1829\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Hitotsubashi journal of arts and sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15057/1829","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

在[N 91]中，作者本想给出一个简单的关于Skolem定理的有限证明，但不幸的是，它包含了一些严重的错误。这个修正后的版本是独立的，读者对[N 91]的了解并不假设。Skolem定理是:在经典谓词逻辑中，如果是k元函数符号，它不包含在公式vxl Vx 9yA(xl'…好……xh, y) DB。然后X * X * gJ'A(X。* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *当且仅当，f

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Revised Proof of Skolem's Theorem

In [N 91], the author intended to present an easy finitary proof of Skolem's Theorem but unfortunately it turned out to contain some serious errors. This corrected version is self-contained and readers' knowledge of [N 91] is not assuJned. Skolem's Theorem is the following statement: In the classical predicate logic, Iet f be a k-ary function symbol not contained in a formula vxl Vx 9yA(xl' . . . k . . . , xh,y)DB. Then Yx Yx gJ'A(X . . xh,y) :) B 1 ' ' ' k l' " is valid if and only ,f

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Hitotsubashi journal of arts and sciences

自引率

0.00%

发文量