13 citations · 17 across the 3 of their papers we have counts for
4 papers
Univalent foundations and the equivalence principle
Benedikt Ahrens, Paige Randall North
In this paper, we explore the 'equivalence principle' (EP): roughly, statements about mathematical objects should be invariant under an appropriate notion of equivalence for the ki…
A Higher Structure Identity Principle
Benedikt Ahrens, Paige Randall North, Michael Shulman +1
The ordinary Structure Identity Principle states that any property of set-level structures (e.g., posets, groups, rings, fields) definable in Univalent Foundations is invariant und…
Reduction Monads and Their Signatures
Benedikt Ahrens, André Hirschowitz, Ambroise Lafont +1
In this work, we study 'reduction monads', which are essentially the same as monads relative to the free functor from sets into multigraphs. Reduction monads account for two aspect…
Modular specification of monads through higher-order presentations
Benedikt Ahrens, André Hirschowitz, Ambroise Lafont +1
In their work on second-order equational logic, Fiore and Hur have studied presentations of simply typed languages by generating binding constructions and equations among them. To…