Homogeneous Length Functions on Groups: Intertwined Computer and Human Proofs
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We describe a case of an interplay between human and computer proving which played a role in the discovery of an interesting mathematical result (Fritz et al. in Algebra Number Theory 12:1773–1786, 2018). The unusual feature of the use of computers here was that a computer generated but human readable proof was read, understood, generalized and abstracted by mathematicians to obtain the key lemma in an interesting mathematical result.
KeywordsType theory Homotopy type theory Geometric group theory
Mathematics Subject Classification03B15 (primary) 20F12 20F65 (secondary)
I thank the referees and the editors for many valuable comments, which have led to the paper being completely rewritten twice and much improved in the process. It is also a pleasure to thank the rest of the PolyMath 14 team for the collaboration of which the work described here is a part.
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