On reduction and normalization in the computational core

IF 0.4 4区 计算机科学 Q4 COMPUTER SCIENCE, THEORY & METHODS
C. Faggian, Giulio Guerrieri, U. De 'liguoro, R. Treglia
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引用次数: 7

Abstract

Abstract We study the reduction in a $\lambda$ -calculus derived from Moggi’s computational one, which we call the computational core. The reduction relation consists of rules obtained by orienting three monadic laws. Such laws, in particular associativity and identity, introduce intricacies in the operational analysis. We investigate the central notions of returning a value versus having a normal form and address the question of normalizing strategies. Our analysis relies on factorization results.
计算核中的约简与归一化
摘要我们研究了从Moggi的计算演算(我们称之为计算核心)导出的$\lambda$演算中的归约。归约关系由对三个一元定律进行定向得到的规则组成。这些定律,特别是关联性和同一性,在操作分析中引入了复杂性。我们研究了返回值与具有正规形式的核心概念,并解决了正规化策略的问题。我们的分析依赖于因子分解结果。
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来源期刊
Mathematical Structures in Computer Science
Mathematical Structures in Computer Science 工程技术-计算机:理论方法
CiteScore
1.50
自引率
0.00%
发文量
30
审稿时长
12 months
期刊介绍: Mathematical Structures in Computer Science is a journal of theoretical computer science which focuses on the application of ideas from the structural side of mathematics and mathematical logic to computer science. The journal aims to bridge the gap between theoretical contributions and software design, publishing original papers of a high standard and broad surveys with original perspectives in all areas of computing, provided that ideas or results from logic, algebra, geometry, category theory or other areas of logic and mathematics form a basis for the work. The journal welcomes applications to computing based on the use of specific mathematical structures (e.g. topological and order-theoretic structures) as well as on proof-theoretic notions or results.
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