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Characterizing finite-valuedness

机译:表征有限值

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摘要

We introduce properties of consequence relations that provide abstract counterparts of different notions of finite-valuedness in logic. In particular, we obtain characterizations of logics that are determined (i) by a single finite matrix, (ii) by a finite set of finite matrices, and (iii) by a set of n-generated matrices for some natural number n. A crucial role is played in our proofs by two closely related notions, local tabularity and local finiteness. (C) 2017 Elsevier B.V. All rights reserved.
机译:我们介绍了结果关系的属性,这些结果关系提供了逻辑中不同有限值概念的抽象对应。特别是,我们获得了逻辑的表征,这些逻辑由(i)一个单一的有限矩阵,(ii)一个有限的有限矩阵集和(iii)由一组n个自然数为n的生成矩阵确定。在我们的证明中,两个紧密相关的概念(局部表格和局部有限)起着至关重要的作用。 (C)2017 Elsevier B.V.保留所有权利。

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