Karim Nour, Olivier Laurent
Abstract
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In this paper, we present a propositional sequent calculus containing disjoint copies of classical and intuitionistic logics. We prove a cut-elimination theorem and we establish a relation between this system and linear logic.
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In this paper, we present a propositional sequent calculus containing disjoint copies of classical and intuitionistic logics. We prove a cut-elimination theorem and we establish a relation between this system and linear logic.
Key concepts: Sequent, Sequent calculus, Cut-elimination theorem, Disjoint sets, Mathematics, Calculus (dental), Propositional calculus, Natural deduction