随机抽取与渐近汉明距离

IF 0.6 4区数学 Q4 COMPUTER SCIENCE, THEORY & METHODS

Logical Methods in Computer Science Pub Date : 2010-08-04 DOI:10.2168/LMCS-9(3:27)2013

Cameron E. Freer, Bjoern Kjos-Hanssen

{"title":"随机抽取与渐近汉明距离","authors":"Cameron E. Freer, Bjoern Kjos-Hanssen","doi":"10.2168/LMCS-9(3:27)2013","DOIUrl":null,"url":null,"abstract":"We obtain a non-implication result in the Medvedev degrees by studying\nsequences that are close to Martin-L\\\"of random in asymptotic Hamming distance.\nOur result is that the class of stochastically bi-immune sets is not Medvedev\nreducible to the class of sets having complex packing dimension 1.","PeriodicalId":49904,"journal":{"name":"Logical Methods in Computer Science","volume":"9 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2010-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Randomness extraction and asymptotic Hamming distance\",\"authors\":\"Cameron E. Freer, Bjoern Kjos-Hanssen\",\"doi\":\"10.2168/LMCS-9(3:27)2013\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We obtain a non-implication result in the Medvedev degrees by studying\\nsequences that are close to Martin-L\\\\\\\"of random in asymptotic Hamming distance.\\nOur result is that the class of stochastically bi-immune sets is not Medvedev\\nreducible to the class of sets having complex packing dimension 1.\",\"PeriodicalId\":49904,\"journal\":{\"name\":\"Logical Methods in Computer Science\",\"volume\":\"9 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2010-08-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Logical Methods in Computer Science\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://doi.org/10.2168/LMCS-9(3:27)2013\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"COMPUTER SCIENCE, THEORY & METHODS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Logical Methods in Computer Science","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.2168/LMCS-9(3:27)2013","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, THEORY & METHODS","Score":null,"Total":0}

引用次数: 7

摘要

通过研究在渐近Hamming距离上接近随机的Martin-L\ ' '的序列，我们得到了梅德韦杰夫度的非隐含结果。我们的结果是，随机双免疫集合类不能被梅杰约化为具有复填充维数1的集合类。

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

Randomness extraction and asymptotic Hamming distance

We obtain a non-implication result in the Medvedev degrees by studying sequences that are close to Martin-L\"of random in asymptotic Hamming distance. Our result is that the class of stochastically bi-immune sets is not Medvedev reducible to the class of sets having complex packing dimension 1.

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

Logical Methods in Computer Science 工程技术-计算机：理论方法

CiteScore

1.80

自引率

0.00%

发文量

105

审稿时长

6-12 weeks

期刊介绍： Logical Methods in Computer Science is a fully refereed, open access, free, electronic journal. It welcomes papers on theoretical and practical areas in computer science involving logical methods, taken in a broad sense; some particular areas within its scope are listed below. Papers are refereed in the traditional way, with two or more referees per paper. Copyright is retained by the author. Topics of Logical Methods in Computer Science: Algebraic methods Automata and logic Automated deduction Categorical models and logic Coalgebraic methods Computability and Logic Computer-aided verification Concurrency theory Constraint programming Cyber-physical systems Database theory Defeasible reasoning Domain theory Emerging topics: Computational systems in biology Emerging topics: Quantum computation and logic Finite model theory Formalized mathematics Functional programming and lambda calculus Inductive logic and learning Interactive proof checking Logic and algorithms Logic and complexity Logic and games Logic and probability Logic for knowledge representation Logic programming Logics of programs Modal and temporal logics Program analysis and type checking Program development and specification Proof complexity Real time and hybrid systems Reasoning about actions and planning Satisfiability Security Semantics of programming languages Term rewriting and equational logic Type theory and constructive mathematics.