Mechanisation of AKS algorithm: Part 1 – The main theorem

Hing Lun Chan, Michael Norrish

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    8 Citations (Scopus)

    Abstract

    The AKS algorithm (by Agrawal, Kayal and Saxena) is a significant theoretical result proving “PRIMES in P”, as well as a brilliant application of ideas from finite fields. This paper describes the first step towards the goal of a full mechanisation of this result: a mechanization of the AKS Main Theorem, which justifies the correctness (but not the complexity) of the AKS algorithm.

    Original languageEnglish
    Title of host publicationInteractive Theorem Proving - 6th International Conference, ITP 2015, Proceedings
    EditorsXingyuan Zhang, Christian Urban
    PublisherSpringer Verlag
    Pages117-136
    Number of pages20
    ISBN (Print)9783319221014
    DOIs
    Publication statusPublished - 2015
    Event6th International Conference on Interactive Theorem Proving, ITP 2015 - Nanjing, China
    Duration: 24 Aug 201527 Aug 2015

    Publication series

    NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
    Volume9236
    ISSN (Print)0302-9743
    ISSN (Electronic)1611-3349

    Conference

    Conference6th International Conference on Interactive Theorem Proving, ITP 2015
    Country/TerritoryChina
    CityNanjing
    Period24/08/1527/08/15

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