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Keywords:
orthoimplication algebra; orthomodular lattice; $p$-filter
orthoimplication algebra; orthomodular lattice; $p$-filter
Summary:
Orthomodular implication algebras (with or without compatibility condition) are a natural generalization of Abbott’s implication algebras, an implication reduct of the classical propositional logic. In the paper deductive systems (= congruence kernels) of such algebras are described by means of their restrictions to principal filters having the structure of orthomodular lattices.
References:
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