“ SAT in polynomial time – Yes, it’s possible!! ” You are given Hint. (a or b) a

Question

“SAT in polynomial time – Yes, it’s possible!!” You are given

Hint. (a or b) and (not b or not c) is equivalent to writing: (a or not c).

following format: (x1 or x2) and (x3 or x4) ..... That is, the SAT formula has a list of conjunctions (AND

a SAT formula of the

symbol), and each conjunction consists of exactly two disjunctions (literal connected by OR connector).

Describe an efficient algorithm to find an assignment of truth-values to literals such that the formula is

true, or report that the formula is not satisfiable. Surely, your “efficient” algorithm should run in

polynomial time

Hint. (a or b) and (not b or not c) is equivalent to writing: (a or not c).

subject

design analysis algorithm

Explanation / Answer

The SAT problem is NP-compclosurenly algorithms with exponential worst-case complexity are known for it. Many efficient and scalable algorithms for SAT were developed and have contributed to dramatic advances in our ability to automatically solve problem.The algorithm include

1. Resolution and transitive closure

2.The Conflict-Driven Clause Learningalgorithm

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