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( 3 0 points ) Provide a formal proof that the resolution inference algorithm is a sound and complete inference method. More formally, we are
points Provide a formal proof that the resolution inference algorithm is a sound and complete inference
method. More formally, we are given a knowledge base represented in conjunctive normal form and "AND
of ORs" and a query whose negation is also given in CNF form ie it is another "AND of ORs"
a points Prove that resolution in propositional logic is sound.
b points Prove that resolution in propositional logic is complete, assuming that the query is a single
binary variable. You need to show that if applying the resolution algorithm to not results in an empty
resolvent then You may assume that the knowledge base is internally consistent, ie it does
not contain any contradictory statements, or statements that resolve to an empty resolvent Intuitively, it is
the addition of not that "causes" the empty resolvent.
cbonus points Prove that resolution in propositional logic is complete for an arbitrary query
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