8 citations · 29 across the 15 of their papers we have counts for
3 papers · 1 filter
Derivatives for Containers in Univalent Foundations
Philipp Joram, Niccolò Veltri
Containers conveniently represent a wide class of inductive data types. Their derivatives compute representations of types of one-hole contexts, useful for implementing tree-traver…
Monoid Structures on Indexed Containers
Michele De Pascalis, Tarmo Uustalu, Niccolò Veltrì
Containers represent a wide class of type constructions relevant for functional programming and (co)inductive reasoning. Indexed containers generalize this notion to better fit the…
Doctrinal Semantics of Directed First-Order Logic
Andrea Laretto, Fosco Loregian, Niccolò Veltri
We present a first-order logic equipped with an "asymmetric" directed notion of equality, which can be thought of as rewrites between terms, allowing for types to be interpreted as…