Lecturer : Satish Scribe : Jason Wolfe
نویسنده
چکیده
Since 3-SAT is NP-complete, checking if a given assignment satisfies φ can be (trivially) accomplished in polynomial time, but finding such an assignment or proving that φ is unsatisfiable requires exponential time in general. Letting m, n, and l be (respectively) the number of clauses, variables, and literals in φ, the naive “try everything” or “guess and check” algorithm runs in O(2n ∗ l) time, since each of the 2n possible truth assignments to n variables requires at most l time to check.
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