5 citations · 11 across the 11 of their papers we have counts for
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math.LO2018
W-types in setoids
Jacopo Emmenegger
We present a construction of W-types in the setoid model of extensional Martin-Löf type theory using dependent W-types in the underlying intensional theory. More precisely, we prov…
math.LO2017★ 5 cited
Exact completion and constructive theories of sets
Jacopo Emmenegger, Erik Palmgren
In the present paper we use the theory of exact completions to study categorical properties of small setoids in Martin-Löf type theory and, more generally, of models of the Constru…
math.LO2014★ 1 cited
A category-theoretic version of the identity type weak factorization system
Jacopo Emmenegger
Gambino and Garner proved that the syntactic category of a dependent type theory with identity types can be endowed with a weak factorization system structure, called identity type…