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  Logic 
Mathematical logic is an important area of AI:
-  Logic is one of the major knowledge
representation and reasoning methods.
 
-  Logic serves as a standard of comparison for other representation and
reasoning methods.
 
-  Logic has a sound mathematical basis.
 
-  The PROLOG language is based on logic.
 
-  Those who fail to learn logic are doomed to reinvent it.
The forms of logic most commonly used are  propositional calculus
 and  first-order predicate
calculus ( FOPC).