Formal Specification and Verification of JDK’s Identity Hash Map Implementation

IF 1.4 4区 计算机科学 Q3 COMPUTER SCIENCE, SOFTWARE ENGINEERING
Martin de Boer, Stijn de Gouw, Jonas Klamroth, Christian Jung, Mattias Ulbrich, Alexander Weigl
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引用次数: 0

Abstract

Hash maps are a common and important data structure in efficient algorithm implementations. Despite their wide-spread use, real-world implementations are not regularly verified.

In this paper, we present the first case study of the IdentityHashMap class in the Java JDK. We specified its behavior using the Java Modeling Language (JML) and proved correctness for the main insertion and lookup methods with KeY, a semi-interactive theorem prover for JML-annotated Java programs. Furthermore, we report how unit testing and bounded model checking can be leveraged to find a suitable specification more quickly. We also investigated where the bottlenecks in the verification of hash maps lie for KeY by comparing required automatic proof effort for different hash map implementations and draw conclusions for the choice of hash map implementations regarding their verifiability.

JDK身份哈希映射实现的形式化规范与验证
在高效算法实现中,哈希映射是一种常见且重要的数据结构。尽管它们被广泛使用,但现实世界的实现并没有得到定期验证。在本文中,我们介绍了Java JDK中IdentityHashMap类的第一个案例研究。我们使用Java建模语言(JML)指定了它的行为,并使用KeY证明了主要插入和查找方法的正确性,KeY是用于JML注释的Java程序的半交互式定理证明器。此外,我们还报告了如何利用单元测试和有界模型检查来更快地找到合适的规范。我们还通过比较不同哈希图实现所需的自动证明工作量,研究了KeY哈希图验证中的瓶颈所在,并就哈希图实现的可验证性得出了选择哈希图的结论。
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
Formal Aspects of Computing
Formal Aspects of Computing 工程技术-计算机:软件工程
CiteScore
3.30
自引率
0.00%
发文量
17
审稿时长
>12 weeks
期刊介绍: This journal aims to publish contributions at the junction of theory and practice. The objective is to disseminate applicable research. Thus new theoretical contributions are welcome where they are motivated by potential application; applications of existing formalisms are of interest if they show something novel about the approach or application. In particular, the scope of Formal Aspects of Computing includes: well-founded notations for the description of systems; verifiable design methods; elucidation of fundamental computational concepts; approaches to fault-tolerant design; theorem-proving support; state-exploration tools; formal underpinning of widely used notations and methods; formal approaches to requirements analysis.
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