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We translate the classical propositional calculus (CPC) and the intuitionistic propositional calculus (IPC) into the assertive part of $\scr {L}^ {P}$ and show that this translation allows us to ...
In this paper, we first formulate phase semantics for proof-terms of second-order intuitionistic propositional logic by modifying TaitGirard's saturated sets method. Next, we prove the completeness ...