Watson
Created: 2025-08-06
A resolution refutation proof is proof by contradiction using resolution. Like every proof by contradiction, you begin by assuming the opposite of what you wish to prove, and then show that this “fact” would lead to a contradiction
Created: 2025-08-06
Resolution is a proof technique that works on conjunctive normal form expressions by (1) selecting two clauses that contain conflicting terms, (2) combining the terms contained in those two clauses, and then (3) canceling the terms that conflict. What makes resolution so important is that this one simple technique is capable of performing the same kinds of reasoning tasks as Modus Ponens, Modus Tollens, Chaining of Implication, and many other logical operations.
Created: 2025-08-06
For resolution refutation proofs to produce logically valid conclusions the original set of statements that are assumed true must be consistent –
Created: 2025-08-06
Over the years, many AI programs have been written that use resolution refutation proofs as the basis for their behavior. In fact, the programming language Prolog is essentially a modified resolution refutation theorem prover that operates on a subset of conjunctive normal form expressions known as Horn clauses. Horn Clauses are conjunctive normal form clauses in which all terms, save at most one, must be negated.