engleski

Classical Logic Models

A well-known ortholattice model of classical propositional logic is the Boolean algebra (a distributive ortholattice, which is therefore orthomodular as well). In this talk I will show that there is also another ortholattice model of classical propositional logic which is neither distributive nor orthomodular so that classical propositional logic turns out to be non-categorical. I give the soundness and completeness proofs for the new model and compare them with those for the Boolean algebra.

propositional classical logic; non-categorical model; Boolean algebra

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