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Monday, May 23, 2016

Extracting Higher-Order Goals from the Mizar Mathematical Library. (arXiv:1605.06996v1 [cs.LO])

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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