两个多值:Suszko理论的算法展望

Carlos Caleiro, J. Martin Marcos
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引用次数: 4

摘要

尽管存在真值的乘法,但在多值逻辑从2值情况继承的蕴涵的规范概念背后,潜伏着明显的二价性阴影。这种二价性能以某种方式为我们所用吗?本文简要回顾了过去三十年来在从抽象的角度使这一主题精确化方面取得的进展,并从中提取了一些有用的程序,收获了语义学和证明理论领域的一些最有利的作物。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Two Many Values: An Algorithmic Outlook on Suszko's Thesis
In spite of the multiplication of truth-values, a noticeable shade of bivalence lurks behind the canonical notion of entailment that many-valued logics inherit from the 2-valued case. Can this bivalence be somehow used to our advantage? The present note briefly surveys the progress made in the last three decades toward making that theme precise from an abstract point of view and extracting some useful procedures from it, harvesting some of its most favorable crops on the domains of semantics and proof-theory.
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