Semilinear substructural logics with the finite embeddability property |
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Authors: | SanMin Wang |
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Institution: | 1.Faculty of Science,Zhejiang Sci-Tech University,Hangzhou,People’s Republic of China |
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Abstract: | Three semilinear substructural logics \({\mathbf{HpsUL}}_\omega ^*\), \({\mathbf{UL}}_\omega \) and \({\mathbf{IUL}}_\omega \) are constructed. Then the completeness of \({ \mathbf{UL}}_\omega \) and \({\mathbf{IUL}}_\omega \) with respect to classes of finite UL and IUL-algebras, respectively, is proved. Algebraically, non-integral \({\mathbf{UL}}_\omega \) and \({\mathbf{IUL}}_\omega \)-algebras have the finite embeddability property, which gives a characterization for finite UL and IUL-algebras. |
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