Theory and Applications of Type-Theoretic Universes

Undirected wiring diagrams

We can represent undirected wiring diagrams as higher-order models

X : U Span {x, \dots} :\equiv {R : U, x : R \to X, \dots} UWD : Span {x, y} \to Span {x, y, z} \to Span {a, b, c, d} \to Span {a, b, c, d, e} UWD A B C :\equiv {∣ R :\equiv {∣ a : A . R, b : B . R, c : C . R, A . x a = B . c c, A . y a = C . a c, B . b b = C . b c ∣} a r :\equiv C . a r . a, b r :\equiv B . z r . b, \dots ∣}