Axiomatizes iEx-logic as intersection of intuitionistic logic and orthomodular logic with Sasaki hook, and proves the lattice of its extensions is the product of intermediate logics and orthomodular logics lattices.
Tokuo (2025): Quantum modal logic
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Conditionals and Modalities in Constructive Quantum Logics
Axiomatizes iEx-logic as intersection of intuitionistic logic and orthomodular logic with Sasaki hook, and proves the lattice of its extensions is the product of intermediate logics and orthomodular logics lattices.