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Solving HOL problems using FOL tools

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HOL is seen by many as an ideal language for expressing mathematical ideas, but HOL ’s expressivity makes its automation more challenging. One frequently finds that HOL problems are “essentially first-order”—that is, they can be faithfully translated into FOL . Automated reasoning in FOL is quite mature compared to that in HOL . It has been argued that for “essentially first-order” problems it is more sensible to carry out the translation into FOL and solve using high-performance FOL tools, rather than attempt to solve the problem using a HOL prover. During this talk I will describe and compare translations from HOL to FOL .

This talk is part of the Computer Laboratory Automated Reasoning Group Lunches series.

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