{"title":"论有选择逻辑中顺序的可定义性","authors":"T. Huuskonen, Tapani Hyttinen","doi":"10.1109/LICS.2001.932493","DOIUrl":null,"url":null,"abstract":"We will answer questions due to Blass and Gurevich (2000) on definability of order in the first-order logic with Hilbert's epsilon operation. We show that a linear ordering is almost surely definable in models with random choice.","PeriodicalId":366313,"journal":{"name":"Proceedings 16th Annual IEEE Symposium on Logic in Computer Science","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On definability of order in logic with choice\",\"authors\":\"T. Huuskonen, Tapani Hyttinen\",\"doi\":\"10.1109/LICS.2001.932493\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We will answer questions due to Blass and Gurevich (2000) on definability of order in the first-order logic with Hilbert's epsilon operation. We show that a linear ordering is almost surely definable in models with random choice.\",\"PeriodicalId\":366313,\"journal\":{\"name\":\"Proceedings 16th Annual IEEE Symposium on Logic in Computer Science\",\"volume\":\"14 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-06-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings 16th Annual IEEE Symposium on Logic in Computer Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/LICS.2001.932493\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings 16th Annual IEEE Symposium on Logic in Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/LICS.2001.932493","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We will answer questions due to Blass and Gurevich (2000) on definability of order in the first-order logic with Hilbert's epsilon operation. We show that a linear ordering is almost surely definable in models with random choice.
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