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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. 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.

  4. 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 .

  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. Cohere CEO Aidan Gomez on what to expect from 'AI 2.0' - AOL

    www.aol.com/cohere-ceo-aidan-gomez-expect...

    Companies will soon focus on customizing AI solutions for specific needs, Cohere's CEO says. AI 2.0 will "help fundamentally transform how businesses operate," he wrote.

  7. 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 ...

  8. Backpacks filled with cocaine worth over $1M found dumped ...

    www.aol.com/news/backpacks-filled-cocaine-worth...

    These were some big baggies. Border Patrol agents found two backpacks stuffed with $1.1 million worth of cocaine dumped near the border with Canada.

  9. 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.