{"title":"物理复杂性的非时间模型","authors":"Richard Whyman","doi":"10.4204/EPTCS.273.4","DOIUrl":null,"url":null,"abstract":"We present the finite first-order theory (FFOT) machine, which provides an atemporal description of computation. We then develop a concept of complexity for the FFOT machine, and prove that the class of problems decidable by a FFOT machine with polynomial resources is NP intersect co-NP.","PeriodicalId":10720,"journal":{"name":"CoRR","volume":"23 1","pages":"39-51"},"PeriodicalIF":0.0000,"publicationDate":"2018-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"An Atemporal Model of Physical Complexity\",\"authors\":\"Richard Whyman\",\"doi\":\"10.4204/EPTCS.273.4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present the finite first-order theory (FFOT) machine, which provides an atemporal description of computation. We then develop a concept of complexity for the FFOT machine, and prove that the class of problems decidable by a FFOT machine with polynomial resources is NP intersect co-NP.\",\"PeriodicalId\":10720,\"journal\":{\"name\":\"CoRR\",\"volume\":\"23 1\",\"pages\":\"39-51\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-07-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"CoRR\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4204/EPTCS.273.4\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"CoRR","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4204/EPTCS.273.4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We present the finite first-order theory (FFOT) machine, which provides an atemporal description of computation. We then develop a concept of complexity for the FFOT machine, and prove that the class of problems decidable by a FFOT machine with polynomial resources is NP intersect co-NP.