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Subframization and stabilization for superintuitionistic logics

机译:超直觉逻辑的亚帧化和稳定化

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摘要

With each superintuitionistic logic (si-logic for short), we associate its downward and upward subframizations and characterize them by means of Zakharyaschev's canonical formulas, as well as by embedding si-logics into the extensions of the propositional lax logic PLL. In an analogous fashion, with each si-logic, we associate its downward and upward stabilizations and characterize them by means of stable canonical formulas, as well as by embedding si-logics into extensions of the intuitionistic S4.
机译:对于每种超直觉逻辑(以下简称si-logic),我们将其向下和向上子框架关联起来,并通过Zakharyaschev的规范公式对它们进行表征,以及将si-logic嵌入到命题宽松逻辑PLL的扩展中。以类似的方式,对于每个si-logic,我们将其向下和向上的稳定度关联起来,并通过稳定的规范公式以及将si-logic嵌入直觉S4的扩展中来对其进行表征。

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