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arXiv · 1608.04029

Semilinear substructural logics with the finite embeddability property

SanMin Wang
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Abstract

In this paper, three semilinear substructural logics ULw, IULw and HpsUL*w are constructed. Then the completeness of ULw and IULw with respect to classes of finite UL and IUL-algebras, respectively, is proved. Algebraically, non-integral ULw and IULw-algebras have the finite embeddability property, which gives a characterization for finite UL and IUL-algebras. Furthermore, the standard completeness of ULw, IULw and HpsUL*w is proved, which shows that they are substructural fuzzy logics.

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BibTeXRIS

SanMin Wang. 2016-08-13. Semilinear substructural logics with the finite embeddability property. https://arxiv.org/abs/1608.04029

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