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Encyclopedia > Normal modal logic

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

and L is closed under

  • substitution,
  • detachment rule: from A and AB infer B,
  • necessitation rule: from A infer .

The minimal normal modal logic is known as K.


  Results from FactBites:
 
Normal modal logic - Wikipedia, the free encyclopedia (94 words)
In logic, normal modal logic is a set L of modal formulas such that L contains:
The modal logic with just the above features is called K.
Normal modal logic, a proper extension of the propositional calculus, includes most modal logics commonly used nowadays, including C.
Kripke semantics - Wikipedia, the free encyclopedia (2475 words)
It was later adapted to other non-classical logics, most importantly intuitionistic logic.
A Kripke frame or modal frame is a pair , where W is a non-empty set, and R is a binary relation on W.
Jaakko Hintikka gave a semantics in his papers introducing epistemic logic that is a simple variation of Kripke's semantics, equivalent to the characterisation of valuations by means of maximal consistent sets.
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