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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. 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 ...

  4. Prolog syntax and semantics - Wikipedia

    en.wikipedia.org/wiki/Prolog_syntax_and_semantics

    Logically, the Prolog engine tries to find a resolution refutation of the negated query. The resolution method used by Prolog is called SLD resolution . If the negated query can be refuted, it follows that the query, with the appropriate variable bindings in place, is a logical consequence of the program.

  5. 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.

  6. Proof by contradiction - Wikipedia

    en.wikipedia.org/wiki/Proof_by_contradiction

    Proof by contradiction is similar to refutation by contradiction, [4] [5] also known as proof of negation, which states that ¬P is proved as follows: The proposition to be proved is ¬P. Assume P. Derive falsehood. Conclude ¬P. In contrast, proof by contradiction proceeds as follows: The proposition to be proved is P. Assume ¬P. Derive ...

  7. 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 .

  8. UN adopts Chinese resolution with US support on closing the ...

    www.aol.com/news/un-adopts-chinese-resolution-us...

    The resolution approved Monday follows the March 21 adoption of the first U.N. resolution on artificial intelligence spearheaded by the United States and co-sponsored by 123 countries including China.

  9. Unit propagation - Wikipedia

    en.wikipedia.org/wiki/Unit_propagation

    Resolution calculi that include subsumption can model rule one by subsumption and rule two by a unit resolution step, followed by subsumption. Unit propagation, applied repeatedly as new unit clauses are generated, is a complete satisfiability algorithm for sets of propositional Horn clauses ; it also generates a minimal model for the set if ...