1. The 3-SAT Problem is a variation of the Satisfiability problem. In the Satisfiability problem, you are given logic expression with N boolean variables, and asked if there is an assignment to these variables that will make the expression return true. The 3-SAT problem restricts the logic expression to or'd clauses of three variables.
2. The Satisfiability is the first algorithm that was proved to be NP-Complete. This is Cook's Theorem.
Reference: Computers and Intractability
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