We generalize intuitionistic tense logics to the multi-modal case by placing grammar logics on an intuitionistic footing. We provide axiomatizations for a class of base intuitionistic grammar logics as well as provide axiomatizations for extensions with combinations of seriality axioms and what we call "intuitionistic path axioms". We show that each axiomatization is sound and complete with completeness being shown via a typical canonical model construction.
翻译：我们通过将语法逻辑置于直觉学的基础之上,将直觉主义时态逻辑与多模式案例相提并论。 我们为某类基础直觉学语法逻辑提供了分解法。 我们为一系列基本直觉学语法逻辑提供了分解法,并为延伸提供了分解法,结合了序列法的共性,以及我们所谓的“理论主义路径法正态”。 我们表明,每个分解法都是正确和完整的,通过典型的直觉模型构造展示了完整性。
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Source: iOS 8 Extensions: Apple’s Plan for a Powerful App Ecosystem
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Source: iOS 8 Extensions: Apple’s Plan for a Powerful App Ecosystem
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