On Axiomatizing Shramko-Wansing’s Logic

Studia Logica 91 (3):407-428 (2009)
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Abstract

This work treats the problem of axiomatizing the truth and falsity consequence relations, ⊨ t and ⊨ f, determined via truth and falsity orderings on the trilattice SIXTEEN 3 (Shramko and Wansing, 2005). The approach is based on a representation of SIXTEEN 3 as a twist-structure over the two-element Boolean algebra.

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10.1007/s11225-009-9181-6

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Citations of this work

The Value of the One Value: Exactly True Logic revisited.Andreas Kapsner & Umberto Rivieccio - 2023 - Journal of Philosophical Logic 52 (5):1417-1444.
Truth values.Yaroslav Shramko - 2010 - Stanford Encyclopedia of Philosophy.

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References found in this work

A useful four-valued logic.N. D. Belnap - 1977 - In J. M. Dunn & G. Epstein (eds.), Modern Uses of Multiple-Valued Logic. D. Reidel.
Modal logic.Alexander Chagrov - 1997 - New York: Oxford University Press. Edited by Michael Zakharyaschev.
How a computer should think.Nuel Belnap - 1977 - In Gilbert Ryle (ed.), Contemporary aspects of philosophy. Boston: Oriel Press.

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