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Has anyone here looked at this book?
Any comments about it?
Wow, it's 800 pages! (I had not previously seen it.)
This topic was moved here from #theory: category theory > higher-order rewriting by Morgan Rogers (he/him).
I saw this on the arXiv announcements but I was a bit misled by the title -- I thought it would be about “higher-order rewriting” as in “rewriting functional expressions”, but instead it does seem to be about a particular flavour of “higher-dimensional rewriting”.
My first impression is that the level of detail is a bit exhausting (there's about 25 pages devoted to a proof that the “single-set” definition of n-category is equivalent to the “globular set” definition, which in a paper would be acceptable as a single-paragraph remark). But I will try to get through to the main ideas.