2016•Bulletin of the Section of LogicOpen access

An Alternative Natural Deduction for the Intuitionistic Propositional Logic

Mirjana Ilić

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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.

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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.

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Available 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.

Key concepts: Natural deduction, Sequent, Sequent calculus, Propositional calculus, Curry–Howard correspondence, Intuitionistic logic, Propositional formula, Calculus (dental)

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