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The Power of Belnap: Sequent Systems for SIXTEEN 3

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Abstract

The trilattice \(\textit{SIXTEEN}_3\) is a natural generalization of the well-known bilattice \(\textit{FOUR}_2\). Cut-free, sound and complete sequent calculi for truth entailment and falsity entailment in \(\textit{SIXTEEN}_3\) are presented.

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Correspondence to Heinrich Wansing.

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Wansing, H. The Power of Belnap: Sequent Systems for SIXTEEN 3 . J Philos Logic 39, 369–393 (2010). https://doi.org/10.1007/s10992-010-9139-1

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