Question: A refutation system is a logical system that proves a statement by assuming it is false and deriving a contradiction. Show that Horn clause logic

A refutation system is a logical system that proves a statement by assuming it is false and deriving a contradiction. Show that Horn clause logic with resolution is a refutation system.

(

Hint: The empty clause is assumed to be false, so a goal

a is equivalent to a

- >

false. Show that this is equivalent to not

(

) .)

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