模态双格逻辑及其扩展

IF 0.4 3区数学 Q4 LOGIC

Algebra and Logic Pub Date : 2022-04-29 DOI:10.1007/s10469-022-09667-x

S. O. Speranski

引用次数: 0

摘要

我们考虑了三个逻辑的扩展格：（1）模态双格逻辑；（2）全Belnap-Dunn双峰逻辑；（3）经典双峰逻辑。证明了这些格是同构的。此外，构造的同构保持了各种良好的性质，如表性、先验性、可判定性或Craig插值性质。

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Modal Bilattice Logic and its Extensions

We consider the lattices of extensions of three logics: (1) modal bilattice logic; (2) full Belnap–Dunn bimodal logic; (3) classical bimodal logic. It is proved that these lattices are isomorphic to each other. Furthermore, the isomorphisms constructed preserve various nice properties, such as tabularity, pretabularity, decidability or Craig’s interpolation property.

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来源期刊

Algebra and Logic 数学-数学

CiteScore

1.10

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： This bimonthly journal publishes results of the latest research in the areas of modern general algebra and of logic considered primarily from an algebraic viewpoint. The algebraic papers, constituting the major part of the contents, are concerned with studies in such fields as ordered, almost torsion-free, nilpotent, and metabelian groups; isomorphism rings; Lie algebras; Frattini subgroups; and clusters of algebras. In the area of logic, the periodical covers such topics as hierarchical sets, logical automata, and recursive functions. Algebra and Logic is a translation of ALGEBRA I LOGIKA, a publication of the Siberian Fund for Algebra and Logic and the Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences. All articles are peer-reviewed.