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Theorem Proving in Large Formal Mathematics as an Emerging AI Field

  • Josef Urban
  • Jiří Vyskočil
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7788)

Abstract

In the recent years, we have linked a large corpus of formal mathematics with automated theorem proving (ATP) tools, and started to develop combined AI/ATP systems working in this setting. In this paper we first relate this project to the earlier large-scale automated developments done by Quaife with McCune’s Otter system, and to the discussions of the QED project about formalizing a significant part of mathematics. Then we summarize our adventure so far, argue that the QED dreams were right in anticipating the creation of a very interesting semantic AI field, and discuss its further research directions.

Keywords

Theorem Prove Automate Reasoning Proof Assistant Automate Theorem Prove Large Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Josef Urban
    • 1
  • Jiří Vyskočil
    • 2
  1. 1.Radboud University NijmegenThe Netherlands
  2. 2.Czech Technical UniversityCzech Republic

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