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  2. Resolution (logic) - Wikipedia

    en.wikipedia.org/wiki/Resolution_(logic)

    The resolution rule, as defined by Robinson, also incorporated factoring, which unifies two literals in the same clause, before or during the application of resolution as defined above. The resulting inference rule is refutation-complete, [ 6 ] in that a set of clauses is unsatisfiable if and only if there exists a derivation of the empty ...

  3. SLD resolution - Wikipedia

    en.wikipedia.org/wiki/SLD_resolution

    SLD resolution (Selective Linear Definite clause resolution) is the basic inference rule used in logic programming. It is a refinement of resolution , which is both sound and refutation complete for Horn clauses .

  4. Non-normal modal logic - Wikipedia

    en.wikipedia.org/wiki/Non-normal_modal_logic

    The LRES rule resembles the resolution rule for classical propositional logic, where any propositional literals and are eliminated: ′ ′. The LERES rule states that if two propositional names p {\displaystyle p} and p ′ {\displaystyle p'} are equivalent, then p {\displaystyle \Box p} and ¬ p ′ {\displaystyle \neg \Box p'} can be eliminated.

  5. Backward chaining - Wikipedia

    en.wikipedia.org/wiki/Backward_chaining

    Backward chaining is implemented in logic programming by SLD resolution. Both rules are based on the modus ponens inference rule. It is one of the two most commonly used methods of reasoning with inference rules and logical implications – the other is forward chaining. Backward chaining systems usually employ a depth-first search strategy, e ...

  6. Davis–Putnam algorithm - Wikipedia

    en.wikipedia.org/wiki/Davis–Putnam_algorithm

    The resolution step leads to a worst-case exponential blow-up in the size of the formula. The Davis–Putnam–Logemann–Loveland algorithm is a 1962 refinement of the propositional satisfiability step of the Davis–Putnam procedure which requires only a linear amount of memory in the worst case.

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  8. Ahead of verdicts, attorneys appeal to logic, emotion in ...

    www.aol.com/ahead-verdicts-attorneys-appeal...

    Ahead of the verdicts, attorneys gave closing arguments during Anthony Patterson's trial on 13 counts of child sexual assault and trafficking.

  9. Consensus theorem - Wikipedia

    en.wikipedia.org/wiki/Consensus_theorem

    In Boolean algebra, the consensus theorem or rule of consensus [1] is the identity: ¯ = ¯ The consensus or resolvent of the terms and ¯ is . It is the conjunction of all the unique literals of the terms, excluding the literal that appears unnegated in one term and negated in the other.