論文

査読有り 最終著者 国際誌
2018年

Can an A.I. win a medal in the mathematical olympiad? - Benchmarking mechanized mathematics on pre-university problems.

AI Communications
  • Takuya Matsuzaki
  • ,
  • Hidenao Iwane
  • ,
  • Munehiro Kobayashi
  • ,
  • Yiyang Zhan
  • ,
  • Ryoya Fukasaku
  • ,
  • Jumma Kudo
  • ,
  • Hirokazu Anai
  • ,
  • Noriko H. Arai

31
3
開始ページ
251
終了ページ
266
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.3233/AIC-180762
出版者・発行元
IOS PRESS

This paper introduces a benchmark problem library for mechanized mathematics including computer algebra and automated theorem proving. The library consists of pre-university mathematical problems taken from exercise problem books, university entrance examinations, and the International Mathematical Olympiads. The subject areas include real algebra, geometry, number theory, pre-calculus, calculus, and combinatorics. It thus includes problems in various areas of pre-university mathematics and with a variety of difficulty. Unlike other existing benchmark libraries, this one contains problems that are formalized so that they are obtainable as the result of mechanical translation of the original problems expressed in natural language. In other words, the library is designed to support the integration of the technologies of mechanized mathematics and natural language processing towards the goal of end-to-end automatic mathematical problem solving. The paper also presents preliminary experimental results of our prototype reasoning component of an end-to-end system on the library. The library is publicly available through the Internet.

リンク情報
DOI
https://doi.org/10.3233/AIC-180762
DBLP
https://dblp.uni-trier.de/rec/journals/aicom/MatsuzakiIKZFKA18
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000432544800003&DestApp=WOS_CPL
共同研究・競争的資金等の研究課題
ロボットは東大に入れるか?
URL
http://dblp.uni-trier.de/db/journals/aicom/aicom31.html#journals/aicom/MatsuzakiIKZFKA18
Scopus
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85047195529&origin=inward
Scopus Citedby
https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=85047195529&origin=inward
ID情報
  • DOI : 10.3233/AIC-180762
  • ISSN : 0921-7126
  • eISSN : 1875-8452
  • DBLP ID : journals/aicom/MatsuzakiIKZFKA18
  • SCOPUS ID : 85047195529
  • Web of Science ID : WOS:000432544800003

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