Diagrammatic Algebra of First Order Logic
Filippo Bonchi, Alessandro Di Giorgio, Nathan Haydon, Paweł Sobociński · 2024
We introduce the calculus of neo-Peircean relations, a string diagrammatic extension of the calculus of binary relations that has the same expressivity as first order logic and comes with a complete axiomatisation. The axioms are obtained by combining two well known categorical structures: cartesian and linear bicategories.