All of the propositions are true.
What is Unit resolution?
- Unit resolution If at least one of the parent clauses is a unit clause, the step is a unit resolution step. Keep in mind that when a unit clause is resolved against a clause of length n, the outcome is a clause with length n-1.
- A resolvent that is at least as lengthy as the longest of the two parent clauses is always provided by non-unit resolution.
- It is well-known that the resolution technique for (propositional) logic developed by J.A. Robinson [4] (1965) is an effective and thorough way for determining if a group of clauses is unsatisfactory.
- Only a refutationally full resolution may be considered complete. Because it significantly decreases the search space, this is both intentional and quite helpful. Resolution is only attempting to derive the empty clause rather than having to eventually derive every possible consequence (to find a proof of some conjecture).
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