Q. Consider the following instance of 3-SAT problem: (x1 v X2 V ¬X3) ^ (x1 v ¬X2 V ¬x3) ^ (¬X1 V ¬X2 v X3) ^ (¬x1 V ¬X2 V ¬X3) and reduction from 3-SAT to SUBSET-SUM. What is the instance of SUBSET-SUM problem that corresponds to the above instance of 3- SAT? If the above instance of 3-SAT is YES instance, show a certificate, verifying this, and also corresponding certificate of the SUBSET-SUM problem.

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Q. Consider the following instance of 3-SAT problem:
(x1 v X2 V ¬X3) ^ (x1 v ¬X2 V ¬X3) ^ (¬X1 v –¬X2 V X3) ^ (¬Xi V ¬X2 V ¬X3)
and reduction from 3-SAT to SUBSET-SUM. What is the instance of
SUBSET-SUM problem that corresponds to the above instance of 3-
SAT?
If the above instance of 3-SAT is YES instance, show a certificate,
verifying this, and also corresponding certificate of the SUBSET-SUM
problem.
Transcribed Image Text:Q. Consider the following instance of 3-SAT problem: (x1 v X2 V ¬X3) ^ (x1 v ¬X2 V ¬X3) ^ (¬X1 v –¬X2 V X3) ^ (¬Xi V ¬X2 V ¬X3) and reduction from 3-SAT to SUBSET-SUM. What is the instance of SUBSET-SUM problem that corresponds to the above instance of 3- SAT? If the above instance of 3-SAT is YES instance, show a certificate, verifying this, and also corresponding certificate of the SUBSET-SUM problem.
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