有界算术理论模型及相关复杂性问题

Q2 Arts and Humanities

Bulletin of the Section of Logic Pub Date : 2022-06-07 DOI:10.18778/0138-0680.2022.03

Abolfazl Alam, Morteza Moniri

{"title":"有界算术理论模型及相关复杂性问题","authors":"Abolfazl Alam, Morteza Moniri","doi":"10.18778/0138-0680.2022.03","DOIUrl":null,"url":null,"abstract":"In this paper, we study bounded versions of some model-theoretic notions and results. We apply these results to the context of models of bounded arithmetic theories as well as some related complexity questions. As an example, we show that if the theory \\(\\rm S_2 ^1(PV)\\) has bounded model companion then \\(\\rm NP=coNP\\). We also study bounded versions of some other related notions such as Stone topology.","PeriodicalId":38667,"journal":{"name":"Bulletin of the Section of Logic","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Models of Bounded Arithmetic Theories and Some Related Complexity Questions\",\"authors\":\"Abolfazl Alam, Morteza Moniri\",\"doi\":\"10.18778/0138-0680.2022.03\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study bounded versions of some model-theoretic notions and results. We apply these results to the context of models of bounded arithmetic theories as well as some related complexity questions. As an example, we show that if the theory \\\\(\\\\rm S_2 ^1(PV)\\\\) has bounded model companion then \\\\(\\\\rm NP=coNP\\\\). We also study bounded versions of some other related notions such as Stone topology.\",\"PeriodicalId\":38667,\"journal\":{\"name\":\"Bulletin of the Section of Logic\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-06-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of the Section of Logic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.18778/0138-0680.2022.03\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"Arts and Humanities\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Section of Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18778/0138-0680.2022.03","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Arts and Humanities","Score":null,"Total":0}

引用次数: 0

摘要

本文研究了一些模型理论概念和结果的有界版本。我们将这些结果应用于有界算术理论的模型以及一些相关的复杂性问题。作为一个例子，我们证明了如果理论\(\rm S_2 ^1(PV)\)有有界模型伴生则\(\rm NP=coNP\)。我们还研究了一些其他相关概念的有界版本，如Stone拓扑。

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

Models of Bounded Arithmetic Theories and Some Related Complexity Questions

In this paper, we study bounded versions of some model-theoretic notions and results. We apply these results to the context of models of bounded arithmetic theories as well as some related complexity questions. As an example, we show that if the theory \(\rm S_2 ^1(PV)\) has bounded model companion then \(\rm NP=coNP\). We also study bounded versions of some other related notions such as Stone topology.

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

Bulletin of the Section of Logic Arts and Humanities-Philosophy

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

8 weeks