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Theorem Proving in Large Formal Mathematics as an Emerging AI Field

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arxiv 1209.3914 v2 pith:62KXKW5P submitted 2012-09-18 cs.AI cs.DL

classification cs.AIcs.DL
keywords mathematicsautomatedfieldformallargeprojectprovingtheorem
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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