Belnap's four-valued logic is isomorphic to the cusp catastrophe, making the algebra FOUR the minimal complete structure for continuous-discrete interfaces with involution symmetry and revealing X and Z as topological invariants.
Thusengineers introduce X and Z not as 'engineering conveniences', but as an inevitableresult of the topological discretization of continuous dynamical systems
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Bilattice-Catastrophe Isomorphism for Four-Valued Logic in Digital Systems
Belnap's four-valued logic is isomorphic to the cusp catastrophe, making the algebra FOUR the minimal complete structure for continuous-discrete interfaces with involution symmetry and revealing X and Z as topological invariants.