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Hammering Mizar by Learning Clause Guidance

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arxiv 1904.01677 v1 pith:D6MAKK2E submitted 2019-04-02 cs.AI cs.LGcs.LO

classification cs.AIcs.LGcs.LO
keywords learningmizarguidancelargelibrarytheoremallowautomated
verification ladder T0 review T1 audit T2 compute T3 formal
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We describe a very large improvement of existing hammer-style proof automation over large ITP libraries by combining learning and theorem proving. In particular, we have integrated state-of-the-art machine learners into the E automated theorem prover, and developed methods that allow learning and efficient internal guidance of E over the whole Mizar library. The resulting trained system improves the real-time performance of E on the Mizar library by 70% in a single-strategy setting.

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