{"title":"LOIS:语法和语义","authors":"Eryk Kopczynski, Szymon Toruńczyk","doi":"10.1145/3009837.3009876","DOIUrl":null,"url":null,"abstract":"We present the semantics of an imperative programming language called LOIS (Looping Over Infinite Sets), which allows iterating through certain infinite sets, in finite time. Our semantics intuitively correspond to execution of infinitely many threads in parallel. This allows to merge the power of abstract mathematical constructions into imperative programming. Infinite sets are internally represented using first order formulas over some underlying logical structure, and SMT solvers are employed to evaluate programs.","PeriodicalId":20657,"journal":{"name":"Proceedings of the 44th ACM SIGPLAN Symposium on Principles of Programming Languages","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"16","resultStr":"{\"title\":\"LOIS: syntax and semantics\",\"authors\":\"Eryk Kopczynski, Szymon Toruńczyk\",\"doi\":\"10.1145/3009837.3009876\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present the semantics of an imperative programming language called LOIS (Looping Over Infinite Sets), which allows iterating through certain infinite sets, in finite time. Our semantics intuitively correspond to execution of infinitely many threads in parallel. This allows to merge the power of abstract mathematical constructions into imperative programming. Infinite sets are internally represented using first order formulas over some underlying logical structure, and SMT solvers are employed to evaluate programs.\",\"PeriodicalId\":20657,\"journal\":{\"name\":\"Proceedings of the 44th ACM SIGPLAN Symposium on Principles of Programming Languages\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"16\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 44th ACM SIGPLAN Symposium on Principles of Programming Languages\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/3009837.3009876\",\"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 of the 44th ACM SIGPLAN Symposium on Principles of Programming Languages","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3009837.3009876","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 16
摘要
我们提出了一种称为LOIS (loop Over Infinite Sets)的命令式编程语言的语义，它允许在有限时间内迭代某些无限集。我们的语义直观地对应于并行执行无限多个线程。这允许将抽象数学结构的力量合并到命令式编程中。无限集在内部用一阶公式在一些底层逻辑结构上表示，并使用SMT求解器对程序求值。
We present the semantics of an imperative programming language called LOIS (Looping Over Infinite Sets), which allows iterating through certain infinite sets, in finite time. Our semantics intuitively correspond to execution of infinitely many threads in parallel. This allows to merge the power of abstract mathematical constructions into imperative programming. Infinite sets are internally represented using first order formulas over some underlying logical structure, and SMT solvers are employed to evaluate programs.
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