A New S4 Classical Modal Logic in Natural Deduction

Journal of Symbolic Logic 71 (3):799 - 809 (2006)

Abstract
We show, first, that the normalization procedure for S4 modal logic presented by Dag Prawitz in [5] does not work. We then develop a new natural deduction system for S4 classical modal logic that is logically equivalent to that of Prawitz, and we show that every derivation in this new system can be transformed into a normal derivation
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DOI 10.2178/jsl/1154698578
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References found in this work BETA

Natural Deduction: A Proof-Theoretical Study.Dag Prawitz - 1965 - Journal of Symbolic Logic 32 (2):255-256.
On an Intuitionistic Modal Logic.G. M. Bierman & V. C. V. de Paiva - 2000 - Studia Logica 65 (3):383-416.

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Citations of this work BETA

Proof Theory for Modal Logic.Sara Negri - 2011 - Philosophy Compass 6 (8):523-538.
Trees for E.Shawn Standefer - 2018 - Logic Journal of the IGPL 26 (3):300-315.

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