论文标题

演绎系统的直觉SAHLQVIST理论

Intuitionistic Sahlqvist theory for deductive systems

论文作者

Fornasiere, Damiano, Moraschini, Tommaso

论文摘要

Sahlqvist理论扩展到包括连接连接的直觉命题演算的片段。这使我们能够引入一种直觉特征的Sahlqvist理论,可与任意的原始外加演绎系统相提并论。作为一个应用程序,我们获得了直觉命题演算的片段的sahlqvist定理,其中包括含义结缔组织和直觉线性逻辑的扩展。

Sahlqvist theory is extended to the fragments of the intuitionistic propositional calculus that include the conjunction connective. This allows us to introduce a Sahlqvist theory of intuitionistic character amenable to arbitrary protoalgebraic deductive systems. As an application, we obtain a Sahlqvist theorem for the fragments of the intuitionistic propositional calculus that include the implication connective and for the extensions of the intuitionistic linear logic.

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