The Logic of Generalized Truth Values and the Logic of Bilattices
The Logic of Generalized Truth Values and the Logic of Bilattices
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广义真值逻辑和双格逻辑
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
H. Wansing
中科院分区：
文献类型：
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作者：
S. Odintsov;H. Wansing
本文阐明了广义真值逻辑与双格逻辑的关系。它提出了对真假结果关系（$${\models_t}$$⊧t和$${\models_f}$$⊧f）公化问题的一个明确的解决方案，该问题用一种没有隐含的语言来考虑，并通过三方框SIXTEEN3上的真假顺序来确定（Shramko和Wansing， J Philos Logic, 34:121-153, 2005）。该解决方案是基于一个与SIXTEEN3同构的代数生成具有合并的交换和分配双格的变化（Rivieccio, 2010）。
This paper sheds light on the relationship between the logic of generalized truth values and the logic of bilattices. It suggests a definite solution to the problem of axiomatizing the truth and falsity consequence relations, $${\models_t}$$⊧t and $${\models_f}$$⊧f , considered in a language without implication and determined via the truth and falsity orderings on the trilattice SIXTEEN3 (Shramko and Wansing, J Philos Logic, 34:121–153, 2005). The solution is based on the fact that a certain algebra isomorphic to SIXTEEN3 generates the variety of commutative and distributive bilattices with conflation (Rivieccio, 2010).