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Fake foreign words can sometimes take a life of their own, see e.g. https://en.wikipedia.org/wiki/List_of_pseudo-French_words_in... https://en.wikipedia.org/wiki/List_of_pseudo-Ger…

Verifying fully formalized proofs is cheap. What is expensive is to produce such formalized proofs. More precisely, to formalize a proof written in a typical math paper is extremel…

Following this proof tree idea, this recent paper https://arxiv.org/abs/2102.03044 suggests to think of proofs of theorems as large trees, a tiny subset of which needs to be made e…