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The problem of deciding the truth of quantified Horn formulae can be also solved in polynomial time. [5] A polynomial-time algorithm for Horn satisfiability is recursive : A first termination condition is a formula in which all the clauses currently existing contain negative literals.
English: Gadgets for an NP-completeness proof of graph 3-coloring, by reduction from 3-Satisfiability.The variable and clause gadgets are shown on the upper and lower left, respectively, and the right side of the figure shows the complete reduction for the instance (x ∨ y ∨ ~z) ∧ (~x ∨ ~y ∨ z) with three variables and two clauses.
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Cheat sheets were historically used by students without an instructor or teacher's knowledge to cheat on a test or exam. [1] In the context of higher education or vocational training, where rote memorization is not as important, students may be permitted (or even encouraged) to develop and consult their cheat sheets during exams.
A variant of the 3-satisfiability problem is the one-in-three 3-SAT (also known variously as 1-in-3-SAT and exactly-1 3-SAT). Given a conjunctive normal form with three literals per clause, the problem is to determine whether there exists a truth assignment to the variables so that each clause has exactly one TRUE literal (and thus exactly two ...
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