Propositional Resolution is a powerful rule of inference for Propositional Logic. Using Propositional Resolution (without axiom schemata or other rules of inference), it is possible to build a theorem prover that is sound and complete for all of Propositional Logic. What's more, the search space using Propositional Resolution is much smaller than for standard Propositional Logic.
This lesson is devoted entirely to Propositional Resolution. We start with a look at clausal form, a variation of the language of Propositional Logic. We then examine the resolution rule itself. We close with some examples.