Formal Proof and Analysis of an Incremental Cycle Detection Algorithm

Armaël Guéneau, Jacques-Henri Jourdan, A. Charguéraud, F. Pottier
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引用次数: 17

Abstract

We study a state-of-the-art incremental cycle detection algorithm due to Bender, Fineman, Gilbert, and Tarjan. We propose a simple change that allows the algorithm to be regarded as genuinely online. Then, we exploit Separation Logic with Time Credits to simultaneously verify the correctness and the worst-case amortized asymptotic complexity of the modified algorithm.
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一种增量周期检测算法的形式化证明与分析
我们研究了由Bender, Fineman, Gilbert和Tarjan提出的最先进的增量周期检测算法。我们提出一个简单的改变,允许算法被认为是真正的在线。然后,利用带时间积分的分离逻辑,同时验证了改进算法的正确性和最坏情况平摊渐近复杂度。
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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