Let R be the reduction from 3-SAT to INDEPENDENT-SET as discussed in class. (1) Show the 3-CNF formula for which R builds the following graph.Q-PTQO (PAQAT) V (PAQAS) V (TAQAVS)O (PVQVT) A (PVQVS) A (TV QVS)O (PAQAT) V (PAQAS) V (TA¬Q AV S)O (PV QVT) A (PVQVS) A (TV ¬Q VS)PSTS

The reduction from independent set to 3 SAT is done as follows:Create a literal for each vertex in…

(1) Show the 3-CNF formula for which R builds the following graph. --P T O (PAQAT) V (PAQAS) V (TAQAVS) O (PV QVT) A (PVQVS) A (TV QVS) O (PAQAT) V (PAQAS) V (TA¬Q AV S) O (PV QVT) A (PVQVS) A (TV ¬Q VS) P S T S

(1) Show the 3-CNF formula for which R builds the following graph. --P T O (PAQAT) V (PAQAS) V (TAQAVS) O (PV QVT) A (PVQVS) A (TV QVS) O (PAQAT) V (PAQAS) V (TA¬Q AV S) O (PV QVT) A (PVQVS) A (TV ¬Q VS) P S T S

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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Question

Let R be the reduction from 3-SAT to INDEPENDENT-SET as discussed in class.

(1) Show the 3-CNF formula for which R builds the following graph.
Q
-P
T
Q
O (PAQAT) V (PAQAS) V (TAQAVS)
O (PVQVT) A (PVQVS) A (TV QVS)
O (PAQAT) V (PAQAS) V (TA¬Q AV S)
O (PV QVT) A (PVQVS) A (TV ¬Q VS)
P
S
T
S

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