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Concept# Normal modal logic

Summary

In logic, a normal modal logic is a set L of modal formulas such that L contains:

- All propositional tautologies;
- All instances of the Kripke schema: \Box(A\to B)\to(\Box A\to\Box B) and it is closed under:
- Detachment rule (modus ponens): A\to B, A \in L implies B \in L;
- Necessitation rule: A \in L implies \Box A \in L.

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