3-SAT
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The 3-SAT (3-Satisfiability) problem is a classic problem in computer science, particularly in the field of computational complexity theory. It's a specific type of Boolean satisfiability problem (SAT), which is foundational in the study of algorithmic logic and has significant implications in various areas like cryptography, artificial intelligence, and algorithm design.
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Boolean Variables -- The problem involves a set of Boolean variables. Each variable can take on one of two values: true or false.
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Clauses -- The heart of the problem lies in a series of clauses. Each clause is a disjunction (logical OR) of exactly three literals. A literal is either a variable or its negation. For example, a clause might be , where and are Boolean variables, and represents the negation of .