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2. Boolean satisfiability problem - Wikipedia

   en.wikipedia.org/wiki/Boolean_satisfiability_problem

   If the answer is "no", the formula is unsatisfiable. Otherwise, the question is asked on the partly instantiated formula Φ{x 1 =TRUE}, that is, Φ with the first variable x 1 replaced by TRUE, and simplified accordingly. If the answer is "yes", then x 1 =TRUE, otherwise x 1 =FALSE. Values of other variables can be found subsequently in the ...

3. Literal (mathematical logic) - Wikipedia

   en.wikipedia.org/wiki/Literal_(mathematical_logic)

   In mathematical logic, a literal is an atomic formula (also known as an atom or prime formula) or its negation. [1] [2] The definition mostly appears in proof theory (of classical logic), e.g. in conjunctive normal form and the method of resolution. Literals can be divided into two types: [2] A positive literal is just an atom (e.g., ).

4. DPLL algorithm - Wikipedia

   en.wikipedia.org/wiki/DPLL_algorithm

   In practice, this often leads to deterministic cascades of units, thus avoiding a large part of the naive search space. Pure literal elimination If a propositional variable occurs with only one polarity in the formula, it is called pure. A pure literal can always be assigned in a way that makes all clauses containing it true.

5. Propositional variable - Wikipedia

   en.wikipedia.org/wiki/Propositional_variable

   In mathematical logic, a propositional variable (also called a sentence letter, [1] sentential variable, or sentential letter) is an input variable (that can either be true or false) of a truth function. Propositional variables are the basic building-blocks of propositional formulas, used in propositional logic and higher-order logics.

6. Exercise (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Exercise_(mathematics)

   In college mathematics exercises often depend on functions of a real variable or application of theorems. The standard exercises of calculus involve finding derivatives and integrals of specified functions. Usually instructors prepare students with worked examples: the exercise is stated, then a model answer is provided. Often several worked ...

7. N.J. Man Accused of Stabbing His Fiancée to Death 1 ... - AOL

   www.aol.com/n-j-man-accused-stabbing-131911300.html

   A New Jersey man is reportedly facing a murder charge after his fiancée was killed the morning after he shared a video which appears to show him publicly proposing to her.