In this paper, we provide simplified semantics for the logic K45(G), i.e. the many-valued Godel counterpart of the classical modal logic K45. More precisely, we characterize K45(G) as the set of valid formulae of the class of possibilistic Godel Kripke Frames <W,\pi> where W is a non-empty set of worlds and \pi: W \to [0, 1] is a possibility distribution on W.
翻译:在本文中,我们为逻辑 K45(G) 提供了简化的语义, 即古典模式逻辑K45的多价戈德尔对等词。 更确切地说, 我们将K45(G) 描述为一套有效公式, 用于可允许的Godel Kripke Frames 的等级 : <W,\pi> W是非空的世界组合,\pi: W\to [0, 1] 是W的可能分布 。