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    Automatic Invention of Integer Sequences

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    We report on the application of the HR program (Colton, Bundy, & Walsh 1999) to the problem of automatically inventing integer sequences. Seventeen sequences invented by HR are interesting enough to have been accepted into the Encyclopedia of Integer Sequences (Sloane 2000) and all were supplied with interesting conjectures about their nature, also discovered by HR. By extending HR, we have enabled it to perform a two stage process of invention and investigation. This involves generating both the definition and terms of a new sequence, relating it to sequences already in the Encyclopedia and pruning the output to help identify the most surprising and interesting results.

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    Description

    Title : Automatic Invention of Integer Sequences
    Author(s) : Simon Colton, Alan Bundy, Toby Walsh
    Abstract : We report on the application of the HR program (Colton, Bundy, & Walsh 1999) to the problem of automatically inventing integer sequences. Seventeen sequences invented by HR are interesting enough to have been accepted into the Encyclopedia of Integer Sequences (Sloane 2000) and all were supplied with interesting conjectures about their nature, also discovered by HR. By extending HR, we have enabled it to perform a two stage process of invention and investigation. This involves generating both the definition and terms of a new sequence, relating it to sequences already in the Encyclopedia and pruning the output to help identify the most surprising and interesting results.
    Subject : unspecified
    Area : Other
    Language : English
    Year : 2000

    Affiliations NICTA and UNSW
    Conference_title : AAAI00 Proceedings
    Publisher : American Association for Artificial Intelligence
    Pages : 558-563
    Url : http://api.mendeley.com/research/automatic-invention-integer-sequences-1/

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    Toby's Peer Evaluation activity

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    Title of the work: HP90: A general & flexible Fortran 90 hp-FE code

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