Please give me step by step answersCNF-satisfiability problem.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter11: Nonlinear Programming
Section11.11: Separable Programming
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Please give me step by step answersCNF-satisfiability problem.

4.
CNF-satisfiability problem. (CNF= Product of Sum. DNF=Sum of product)
(1)Describe briefly that the DNF- satisfiability (search solution) problem has a polynomial time
algorithm.
(2)It is known that every CNF Boolean expression can be rewritten as a DNF Boolean expression
using Distributive law or DeMorgan's law. (For example, (X+Y)Z=XZ+YZ )
Consider the following algorithm to solve CNF- satisfiability (search solution) problem:
Given a CNF Boolean expression, we first transform it into a DNF Boolean expression
using Distributive law, and then use the method in Part (1) to solve the DNF Boolean expression.
This will give a solution for the original CNF Boolean expression.
Is this a polynomial time algorithm to solve CNF Boolean expression? Explain.
Transcribed Image Text:4. CNF-satisfiability problem. (CNF= Product of Sum. DNF=Sum of product) (1)Describe briefly that the DNF- satisfiability (search solution) problem has a polynomial time algorithm. (2)It is known that every CNF Boolean expression can be rewritten as a DNF Boolean expression using Distributive law or DeMorgan's law. (For example, (X+Y)Z=XZ+YZ ) Consider the following algorithm to solve CNF- satisfiability (search solution) problem: Given a CNF Boolean expression, we first transform it into a DNF Boolean expression using Distributive law, and then use the method in Part (1) to solve the DNF Boolean expression. This will give a solution for the original CNF Boolean expression. Is this a polynomial time algorithm to solve CNF Boolean expression? Explain.
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