Well-formed Formula - Properties Applicable To Formulas

Properties Applicable To Formulas

  • A formula A in a language is valid if it is true for every interpretation of .
  • A formula A in a language is satisfiable if it is true for some interpretation of .
  • A formula A of the language of arithmetic is decidable if it represents a decidable set, i.e. if there is an effective method which, given a substitution of the free variables of A, says that either the resulting instance of A is provable or its negation is.

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