Developments in Formal Proofs

Thomas C. Hales

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arXiv · 1408.6474

Developments in Formal Proofs

Thomas C. Hales

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Abstract

This report describes three particular technological advances in formal proofs. The HOL Light proof assistant will be used to illustrate the design of a highly reliable system. Today, proof assistants can verify large bodies of advanced mathematics; and as an example, we turn to the formal proof in Coq of the Feit-Thompson Odd Order theorem in group theory. Finally, we discuss advances in the automation of formal proofs, as implemented in proof assistants such as Mizar, Coq, Isabelle, and HOL Light.

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Thomas C. Hales. 2014-08-24. Developments in Formal Proofs. https://arxiv.org/abs/1408.6474

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