A refined version of the standard linear definite clause resolution method used in automated theorem proving and logic programming, particularly in Prolog. It combines the benefits of linearity and selectivity to improve efficiency and reduce search space complexity.
For instance, SLD resolution can be used to prove that a certain mathematical statement is true by systematically resolving clauses related to the statement until a proof is found. By using SLD resolution, the search space can be reduced significantly, making it easier to find a proof or disproof of the statement.