{"title":"内延无型λ等式的一个简单完备的模型理论","authors":"M. Gabbay","doi":"10.29007/2vzl","DOIUrl":null,"url":null,"abstract":"We present a sound and complete model theory for theories of β-reduction with or without η-expansion. We then show in what conditions we obtain models of β-equality and βη-equality.","PeriodicalId":422904,"journal":{"name":"HOWARD-60","volume":"20 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A simple and complete model theory for intensional and extensional untyped λ-equality\",\"authors\":\"M. Gabbay\",\"doi\":\"10.29007/2vzl\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present a sound and complete model theory for theories of β-reduction with or without η-expansion. We then show in what conditions we obtain models of β-equality and βη-equality.\",\"PeriodicalId\":422904,\"journal\":{\"name\":\"HOWARD-60\",\"volume\":\"20 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"HOWARD-60\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.29007/2vzl\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"HOWARD-60","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.29007/2vzl","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A simple and complete model theory for intensional and extensional untyped λ-equality
We present a sound and complete model theory for theories of β-reduction with or without η-expansion. We then show in what conditions we obtain models of β-equality and βη-equality.
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