Propositional skew Boolean logic
Robert J Bignall, Matthew Spinks · 2002
A non-commutative propositional logic is described. A Hilbert-style axiomatisation is given for the logic, and a multiple-valued interpretation is constructed. The logic is shown to be sound and complete with respect to this interpretation. We also show that the logic has no finite complete models. An application includes the specification and design of multiple-valued switching circuits.