4 citations · 5 across the 3 of their papers we have counts for
3 papers
cs.LO2024
Clones, closed categories, and combinatory logic
Philip Saville
We give an exposition of the semantics of the simply-typed lambda-calculus, and its linear and ordered variants, using multi-ary structures. We define universal properties for mult…
math.CT2020★ 1 cited
Cartesian closed bicategories: type theory and coherence
Philip Saville
In this thesis I lift the Curry--Howard--Lambek correspondence between the simply-typed lambda calculus and cartesian closed categories to the bicategorical setting, then use the r…
cs.LO2019★ 4 cited
A type theory for cartesian closed bicategories
Marcelo Fiore, Philip Saville
We construct an internal language for cartesian closed bicategories. Precisely, we introduce a type theory modelling the structure of a cartesian closed bicategory and show that it…