72 citations · 159 across the 26 of their papers we have counts for
3 papers · 1 filter
Implementing a Category-Theoretic Framework for Typed Abstract Syntax
Benedikt Ahrens, Ralph Matthes, Anders Mörtberg
In previous work ("From signatures to monads in UniMath"), we described a category-theoretic construction of abstract syntax from a signature, mechanized in the UniMath library bas…
Algebraic Presentations of Type Dependency
Benedikt Ahrens, Jacopo Emmenegger, Paige Randall North +1
C-systems were defined by Cartmell as the algebraic structures that correspond exactly to generalised algebraic theories. B-systems were defined by Voevodsky in his quest to formul…
The Univalence Principle
Benedikt Ahrens, Paige Randall North, Michael Shulman +1
The Univalence Principle is the statement that equivalent mathematical structures are indistinguishable. We prove a general version of this principle that applies to all set-based,…