![]() Where two complimentary literals are: Loves (f(x), x) and ¬ Loves (a, b) We can resolve two clauses which are given below: ![]() This rule is also called the binary resolution rule because it only resolves exactly two literals. Where l i and m j are complementary literals. ![]() Resolution can resolve two clauses if they contain complementary literals, which are assumed to be standardized apart so that they share no variables. The resolution rule for first-order logic is simply a lifted version of the propositional rule. Note: To better understand this topic, firstly learns the FOL in AI. It is also known as a unit clause.Ĭonjunctive Normal Form: A sentence represented as a conjunction of clauses is said to be conjunctive normal form or CNF. Resolution is a single inference rule which can efficiently operate on the conjunctive normal form or clausal form.Ĭlause: Disjunction of literals (an atomic sentence) is called a clause. Unification is a key concept in proofs by resolutions. Resolution is used, if there are various statements are given, and we need to prove a conclusion of those statements. It was invented by a Mathematician John Alan Robinson in the year 1965. Resolution is a theorem proving technique that proceeds by building refutation proofs, i.e., proofs by contradictions. Next → ← prev Resolution in FOL Resolution
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