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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

    Given a goal clause, represented as the negation of a problem to be solved : with selected literal , and an input definite clause: . whose positive literal (atom) unifies with the atom of the selected literal , SLD resolution derives another goal clause, in which the selected literal is replaced by the negative literals of the input clause and the unifying substitution is applied:

  4. Proof compression - Wikipedia

    en.wikipedia.org/wiki/Proof_compression

    A (resolution) refutation of C is a resolution proof of from C. It is a common given a node η {\displaystyle \eta } , to refer to the clause η {\displaystyle \eta } or η {\displaystyle \eta } ’s clause meaning the conclusion clause of η {\displaystyle \eta } , and (sub)proof η {\displaystyle \eta } meaning the (sub)proof having η ...

  5. Method of analytic tableaux - Wikipedia

    en.wikipedia.org/wiki/Method_of_analytic_tableaux

    A graphical representation of a partially built propositional tableau. In proof theory, the semantic tableau [1] (/ t æ ˈ b l oʊ, ˈ t æ b l oʊ /; plural: tableaux), also called an analytic tableau, [2] truth tree, [1] or simply tree, [2] is a decision procedure for sentential and related logics, and a proof procedure for formulae of first-order logic. [1]

  6. DPLL algorithm - Wikipedia

    en.wikipedia.org/wiki/DPLL_algorithm

    It was introduced in 1961 by Martin Davis, George Logemann and Donald W. Loveland and is a refinement of the earlier Davis–Putnam algorithm, which is a resolution-based procedure developed by Davis and Hilary Putnam in 1960. Especially in older publications, the Davis–Logemann–Loveland algorithm is often referred to as the "Davis–Putnam ...

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  8. Prolog - Wikipedia

    en.wikipedia.org/wiki/Prolog

    Prolog is a logic programming language that has its origins in artificial intelligence, automated theorem proving and computational linguistics. [1] [2] [3]Prolog has its roots in first-order logic, a formal logic, and unlike many other programming languages, Prolog is intended primarily as a declarative programming language: the program is a set of facts and rules, which define relations.

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    help.aol.com/products/new-aol-mail

    You've Got Mail!® Millions of people around the world use AOL Mail, and there are times you'll have questions about using it or want to learn more about its features. That's why AOL Mail Help is here with articles, FAQs, tutorials, our AOL virtual chat assistant and live agent support options to get your questions answered.