سؤال

I have started reading on algorithmic complexity for my thesis work. Already have studied on Polynomial time reducibility, NP-Complete, NP-Hard. Now trying to prove NP completeness of some of the classical problems. I have started with 3-SAT problem.

3-SAT problem — was shown to be NP-complete:

Input: A boolean Formula F in CNF where each clause contains at most three variables.

Question: Is that formula satisfiable?

Show now that the simple 3-SAT problem is also NP-complete:

Input: A boolean Formula F in CNF where each clause contains at most three variables and only clauses of length two may contain negated variables.

Question: Is that formula satisfiable?

Can any please explain the main idea? Thank you in advance.

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