Category Theory without Objects

Our notion of category is that of [Eilenberg & Mac Lane, 1945]. We identify objects with their identity maps and we regard a diagram A--f-->B as a formula which asserts that A is the (identity map of the) domain of f and that B is the (identity map of the) codomain of f.

From the start of the PhD thesis of F. William Lawvere ( Functorial Semantics of Algebraic Theories and Some Algebraic Problems in the context of Functorial Semantics of Algebraic Theories, 1963).

Alloy Talk

Here is a good recent talk by Jay Parlar on using the Alloy Analyzer to find bugs in software designs.