IMPLICATION ALGEBRAS AND THEIR APPLICATIONS.
NAVAL ACADEMY ANNAPOLIS MD
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The study introduces a new operation, ortho-implication of orthomodular lattices that reduces to ordinary implication in the Boolean classical case. It seems that this should have definite advantages in the study of orthomodular logics, since it retains most of the properties of ordinary implication. It also makes computations somewhat easier by providing an arithmetic of its own. Finally, it generalizes the concept of orthomodular lattices to orthomodular semi-lattices. Author
- Theoretical Mathematics