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An Alternative Natural Deduction for the Intuitionistic Propositional Logic
Bulletin of the Section of Logic 45 (1) (2016)
Abstract
A natural deduction system NI, for the full propositional intuitionistic logic, is proposed. The operational rules of NI are obtained by the translation from Gentzen’s calculus LJ and the normalization is proved, via translations from sequent calculus derivations to natural deduction derivations and back.Other Versions
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References found in this work
Investigations into Logical Deduction.Gerhard Gentzen - 1964 - American Philosophical Quarterly 1 (4):288 - 306.
Natural deduction with general elimination rules.Jan von Plato - 2001 - Archive for Mathematical Logic 40 (7):541-567.
Sequent calculus in natural deduction style.Sara Negri & Jan von Plato - 2001 - Journal of Symbolic Logic 66 (4):1803-1816.
A normalizing system of natural deduction for intuitionistic linear logic.Sara Negri - 2002 - Archive for Mathematical Logic 41 (8):789-810.
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