Linear/Nonlinear Logic and Linear Algebra

Benton’s Linear/Nonlinear Logic has models in (lax) monoidal adjunctions between monoidal and cartesian categories. [diagram] The tasks performed in GPU kernels often deal with linear and nonlinear maps between real vector spaces. [diagram] I want to take this and run with it: let’s see what it looks like to define some mixed linear/nonlinear functions in a linear/nonlinear type theory. This feels…