{"title":"关于非有丝分裂超简单集的存在性","authors":"Arsen H. Mokatsian","doi":"10.1109/csitechnol.2017.8312131","DOIUrl":null,"url":null,"abstract":"Let us adduce some definitions: If a recursively enumerable (r.e.) set A is a disjoint union of two sets B and C, then we say that B, C is an r.e. splitting of A The r.e. set A is tt-mitotic (btt-mitotic) if there is an r.e. splitting (B, C) of A such that the sets B and C both belong to the same tt — (btt -) degree of unsolvability, as the set A. In this paper the existence of the tt-mitotic hypersimple set, which is not btt-mitotic is proved.","PeriodicalId":332371,"journal":{"name":"2017 Computer Science and Information Technologies (CSIT)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2017-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the existence of the tt-mitotic hypersimple set which is not btt-mitotic\",\"authors\":\"Arsen H. Mokatsian\",\"doi\":\"10.1109/csitechnol.2017.8312131\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let us adduce some definitions: If a recursively enumerable (r.e.) set A is a disjoint union of two sets B and C, then we say that B, C is an r.e. splitting of A The r.e. set A is tt-mitotic (btt-mitotic) if there is an r.e. splitting (B, C) of A such that the sets B and C both belong to the same tt — (btt -) degree of unsolvability, as the set A. In this paper the existence of the tt-mitotic hypersimple set, which is not btt-mitotic is proved.\",\"PeriodicalId\":332371,\"journal\":{\"name\":\"2017 Computer Science and Information Technologies (CSIT)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2017 Computer Science and Information Technologies (CSIT)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/csitechnol.2017.8312131\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 Computer Science and Information Technologies (CSIT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/csitechnol.2017.8312131","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the existence of the tt-mitotic hypersimple set which is not btt-mitotic
Let us adduce some definitions: If a recursively enumerable (r.e.) set A is a disjoint union of two sets B and C, then we say that B, C is an r.e. splitting of A The r.e. set A is tt-mitotic (btt-mitotic) if there is an r.e. splitting (B, C) of A such that the sets B and C both belong to the same tt — (btt -) degree of unsolvability, as the set A. In this paper the existence of the tt-mitotic hypersimple set, which is not btt-mitotic is proved.
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