On axiomatizing shramko-wansing's logic

Studia Logica 91 (3):407 - 428 (2009)
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.
Keywords generalized truth value  twist-structure  axiomatics
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