An Assertional Proof of the Stability and Correctness of Natural Mergesort

Author:

Leino K. Rustan M.1,Lucio Paqui2

Affiliation:

1. Microsoft Research, Redmond, WA USA

2. The University of the Basque Country (UPV/EHU)

Abstract

We present a mechanically verified implementation of the sorting algorithm Natural Mergesort that consists of a few methods specified by their contracts of pre/post conditions. Methods are annotated with assertions that allow the automatic verification of the contract satisfaction. This program-proof is made using the state-of-the-art verifier Dafny . We verify not only the standard sortedness property, but also that the algorithm performs a stable sort. Throughout the article, we provide and explain the complete text of the program-proof.

Funder

Spanish Project

Basque Project

Publisher

Association for Computing Machinery (ACM)

Subject

Computational Mathematics,Logic,General Computer Science,Theoretical Computer Science

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Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. An Assertional Proof of Red–Black Trees Using Dafny;Journal of Automated Reasoning;2019-10-03

2. A Tutorial on Using Dafny to Construct Verified Software;Electronic Proceedings in Theoretical Computer Science;2017-01-11

3. Proving JDK’s Dual Pivot Quicksort Correct;Lecture Notes in Computer Science;2017

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