{"title":"Criteria for Bracket Abstractions Design","authors":"Federico Flaviani, Elias Tahhan Bitar","doi":"10.1016/j.entcs.2020.02.011","DOIUrl":null,"url":null,"abstract":"<div><p>A bracket abstraction is a syntactic operator to abstract variables in combinatory logic. There are different algorithms for different combinator systems. In this paper we present a recursive algorithm scheme, which generates a family of brackets abstractions, in which all the bracket abstractions referenced here are found. In addition, theorems with certain hypotheses are enunciated about the scheme, which state that the resulting abstraction operators, has one property or another. Thus forming a criteria for designing bracket abstractions that comply with a given property.</p></div>","PeriodicalId":38770,"journal":{"name":"Electronic Notes in Theoretical Computer Science","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.entcs.2020.02.011","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Electronic Notes in Theoretical Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1571066120300116","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Computer Science","Score":null,"Total":0}
引用次数: 1
Abstract
A bracket abstraction is a syntactic operator to abstract variables in combinatory logic. There are different algorithms for different combinator systems. In this paper we present a recursive algorithm scheme, which generates a family of brackets abstractions, in which all the bracket abstractions referenced here are found. In addition, theorems with certain hypotheses are enunciated about the scheme, which state that the resulting abstraction operators, has one property or another. Thus forming a criteria for designing bracket abstractions that comply with a given property.
期刊介绍：
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