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Algorithms | 1st Edition | ISBN: 9780073523408 | Authors: Sanjoy Dasgupta Algorithms, Christos H. Papadimitriou Algorithms, Umesh Vazirani Algorithms
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STINGY SAT is the following problem: given a set of clauses (each a disjunction of

Chapter 8, Problem 8.3

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STINGY SAT is the following problem: given a set of clauses (each a disjunction of literals) andan integer k, find a satisfying assignment in which at most k variables are true, if such anassignment exists. Prove that STINGY SAT is NP-complete

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QUESTION:

STINGY SAT is the following problem: given a set of clauses (each a disjunction of literals) andan integer k, find a satisfying assignment in which at most k variables are true, if such anassignment exists. Prove that STINGY SAT is NP-complete

ANSWER:

Step 1 of 3

Satisfiability problem is defined as for a formula given in Conjunctive Normal Form (CNF), we have to check if it is satisfiable or not.

It is checking that if there exists a truth assignment for literals for satisfying the formula.

STINGY SAT is defined by for a given set of clauses and integer  , we have to find the satisfying assignment where at most  variables are true.

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