Problem (New-SAT) Input: You are given a 3-SAT formula. A true value is considered as (+1) and a false value is considered (-1). Question: Does there exist a truth-value assignment for each variable such that the sum of the three variables of each clause is between -1 and 1? Show that the problem is NP-complete. Reduce an NP-hard problem from Section 12.13 (Other Useful NP-hard Problems).
Problem (New-SAT) Input: You are given a 3-SAT formula. A true value is considered as (+1) and a false value is considered (-1). Question: Does there exist a truth-value assignment for each variable such that the sum of the three variables of each clause is between -1 and 1? Show that the problem is NP-complete. Reduce an NP-hard problem from Section 12.13 (Other Useful NP-hard Problems).
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Problem (New-SAT)
Input: You are given a 3-SAT formula. A true value is considered as (+1) and a false value is considered (-1).
Question: Does there exist a truth-value assignment for each variable such that the sum of the three variables of each clause is between -1 and 1?
Show that the problem is NP-complete. Reduce an NP-hard problem from Section 12.13 (Other Useful NP-hard Problems).
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