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Results tagged with homotopy-type-theory
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user 14969
The homotopy interpretation of constructive dependent type theory, the univalence axiom, higher inductive types, internal languages of higher toposes, univalent foundations for mathematics, and implementations of such theories in proof assistants.
6
votes
The groupoid of algebraic expressions and proofs
The construction you describe seems more like the the category of reductions generated by the abstract rewrite system given by an algebraic theory.
I suggest you take a look to section 8.2("Rewrite s …
- 3,349
9
votes
Why did Voevodsky consider categories "posets in the next dimension", and groupoids the corr...
I cannot say what exactly Voevodsky meant but here is a wild guess.
Disclaimer in what follows I use heavily type theoretic notation, so you have trouble understanding feel free to ask in the comment …
- 3,349