Normal_modal_logic Normal_modal_logic

Normal modal logic - Definition and Overview

Related Words: Academia, Arranged, Average, Axis, Balance, Balanced, Bourgeois, Center, Central, Characteristic, Chord, College, Common

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

  • all propositional tautologies,
  • Kripke's schema: <math>\Box(A\to B)\to(\Box A\to\Box B)<math>,

and L is closed under

  • substitution,
  • detachment rule: from A and AB infer B,
  • necessitation rule: from A infer <math>\Box A<math>.

The minimal normal modal logic is known as K.

Example Usage of Normal

leodelune: 說 I want my Normal life back! http://plurk.com/p/2tzm3b
carolcarin: Qnd eu falava dessas cores mórbidas, Qnd eu falava desses homens sórdidos Qnd eu falava desse temporal Vc não escutou Mas isso é tão Normal
deiabatista: RT @Mingo_tome: Na lista do #dobradinhaday eu quero minha parte em comida Normal e cerveja sel alcoole
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