Extracting Higher-Order Goals from the Mizar Mathematical Library

Chad Brown; Josef Urban

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arXiv · 1605.06996

Extracting Higher-Order Goals from the Mizar Mathematical Library

Chad Brown·Josef Urban

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Abstract

Certain constructs allowed in Mizar articles cannot be represented in first-order logic but can be represented in higher-order logic. We describe a way to obtain higher-order theorem proving problems from Mizar articles that make use of these constructs. In particular, higher-order logic is used to represent schemes, a global choice construct and set level binders. The higher-order automated theorem provers Satallax and LEO-II have been run on collections of these problems and the results are discussed.

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Chad Brown, Josef Urban. 2016-05-23. Extracting Higher-Order Goals from the Mizar Mathematical Library. https://arxiv.org/abs/1605.06996

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