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365-218 Resolution

I resolve to attempt to understand what the hell this means.

 

Resolution rule

 

The resolution rule in propositional logic is a single valid inference rule that produces a new clause implied by two clauses containing complementary literals. A literal is a propositional variable or the negation of a propositional variable. Two literals are said to be complements if one is the negation of the other. The resulting clause contains all the literals that do not have complements.

 

The clause produced by the resolution rule is called the resolvent of the two input clauses.

 

When the two clauses contain more than one pair of complementary literals, the resolution rule can be applied (independently) for each such pair. However, only the pair of literals that are resolved upon can be removed: all other pair of literals remain in the resolvent clause.

 

The resolution rule is similar in spirit to the cut rule of sequent calculus.

 

HUH? I guess I got some work to do. :)

 

Here's a page about it

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Uploaded on January 15, 2009
Taken on January 15, 2009