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modal logic

Noun

Meaning

a system of logic whose formal properties resemble certain moral and epistemological concepts

the logical study of necessity and possibility

Source: WordNet

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Besides axiom 1-5 and definition 1-3, a few other axioms from modal logic were tacitly used in the proof. Source: Internet

For any class C of Kripke frames, Thm(C) is a normal modal logic (in particular, theorems of the minimal normal modal logic, K, are valid in every Kripke model). Source: Internet

However, relatively few systems of modal logic can be formalised directly in natural deduction. Source: Internet

In some cases, we can use FMP to prove Kripke completeness of a logic: every normal modal logic is complete wrt a class of modal algebras, and a finite modal algebra can be transformed into a Kripke frame. Source: Internet

In the most common semantics for modal logic, many " possible worlds " are considered. Source: Internet

Intuitionistic logic Kripke semantics for the intuitionistic logic follows the same principles as the semantics of modal logic, but uses a different definition of satisfaction. Source: Internet

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