Two decades of automatic amortized resource analysis

IF 0.4 4区 计算机科学 Q4 COMPUTER SCIENCE, THEORY & METHODS Mathematical Structures in Computer Science Pub Date : 2022-03-16 DOI:10.1017/S0960129521000487
Jan Hoffmann, Steffen Jost
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引用次数: 3

Abstract

Abstract This article gives an overview of automatic amortized resource analysis (AARA), a technique for inferring symbolic resource bounds for programs at compile time. AARA has been introduced by Hofmann and Jost in 2003 as a type system for deriving linear worst-case bounds on the heap-space consumption of first-order functional programs with eager evaluation strategy. Since then AARA has been the subject of dozens of research articles, which extended the analysis to different resource metrics, other evaluation strategies, non-linear bounds, and additional language features. All these works preserved the defining characteristics of the original paper: local inference rules, which reduce bound inference to numeric (usually linear) optimization; a soundness proof with respect to an operational cost semantics; and the support of amortized analysis with the potential method.
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二十年的自动摊销资源分析
摘要本文概述了自动摊销资源分析(AARA),这是一种在编译时推断程序符号资源边界的技术。Hofmann和Jost在2003年引入了AARA,作为一种类型系统,用于导出具有热切评估策略的一阶函数程序堆空间消耗的线性最坏情况边界。从那时起,AARA已经成为数十篇研究文章的主题,这些文章将分析扩展到不同的资源度量、其他评估策略、非线性边界和其他语言特征。所有这些工作都保留了原始论文的定义特征:局部推理规则,它将边界推理简化为数值(通常是线性)优化;关于操作成本语义的健全性证明;以及潜在法对摊销分析的支持。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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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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