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

See similar textbooks

Related questions

Q: Summarize self-emission in computer graphics

A: In computer graphics, the concept of self-emission plays a crucial role in simulating realistic…

Q: (C++ only) How to put an array and code in a function. The function takes one parameter, which is…

A: 1) Below we have program that define function takes one parameter, which is the file name. Use the…

Q: Consider a database table named "EMPLOYEES" with the following columns: E_EMPLOYEEID, E_FIRSTNAME ,…

A: Understand the Requirement:Identify the table: In this case, the table is named "EMPLOYEES."Identify…

Q: Given the following Business case scenarios I need help creating UML activity diagrams to highlight…

A: Activity diagram presents a flow of control in a system.There are seven scenarios here.Each curved…

Q: Using normalisation principles, depict the relationship schema of the 3NF tables. State the…

A: In this question we have to understand about the given table and convert into the 3NF form of…

Q: Q6: Assume total number of addresses a CPU can manage are 12 bits long. a. What is the maximum size…

A: In the context of computer systems, memory can be defined in such a way that it refers to the…

Q: Writer a program to ask the user for his first name and then to print it using a function.(we don’t…

A: In this task, wе aim to crеatе a simplе Python program that prompts thе usеr to input thеir first…

Q: What does SST stand for

A: In this question we have to understand about the term SST. Map attribute thing can not be done…

Q: Discuss what you have learned about privacy, or the lack thereof, in today's technology. Is privacy…

A: In this question we have to understand about privacy, or the lack thereof.Is privacy at a…

Q: Please use the provided illustration to demonstrate the message exchange process in the Dynamic Host…

A: The DHCP (Dynamic Host Configuration Protocol) is a process that helps devices, like a computer or a…

Q: How should I download Term::Menus for Perl?

A: Perl is a high-level, general-purpose programming language that was created by Larry Wall in the…

Q: Given the following Business case scenarios I need help creating UML activity diagrams to highlight…

A: In this question we have to understand about the given business case scenarios for the pateint…

Q: Write a Python program to create a batch file for 20 employees. Read Name, ID, weekly hours and rate…

A: Algorithm: Employee Salary Processing1. Start.2. Define a function `calculate_financial_details`…

Q: Create the order table.

A: The objective of the question is to create a table with the given data. The table is named 'order'…

Q: Question 2 - Using functions, design and write a program to calculate students' grades for n…

A: Step-1: StartStep-2: Declare const int MAX variable and assign 10Step-3: Define function void…

Q: For this milestone, you will be creating a simple n by n grid. Each grid cell will be a square, with…

A: Algorithm: Draw Grid1. Import the turtle module.2. Define a function `draw_square` that takes size,…

Q: ers (p, q, g) = (22531, 751, 4488). She chooses the se

A: Public parameters (p, q, g) = (22531, 751, 4488)D = 244 using the random element k = 574

Q: Given a base Plant class and a derived Flower class, write a program to create a list called…

A: Define Plant Class:Create a Plant class with an __init__ method that initializes the name…

Q: Unused left.push(a[0]); left.push(-right.top()); right.pop(); left.push(a[i]); right.push(a[i]); }…

A: In this question we have to understand about lines of codes given for sorting and median finding…

Q: a) Determine which of the following sets have valid/invalid alphabets: Σ1= {a, ab, b, d, be} Σ2=…

A: According to our guidelines, we are allowed to solve only the first question. Please post the other…

Q: Q2. Design a control logic to implement the following register transfer statements assuming that…

A: Here, the task specified in the question is to design a control logic for the given register transfe…

Q: In kotlin, Write a recursive function with an expression body that takes a list of Pairs in which…

A: We will write a recursive function extractFirstElements with an expression body which will extract…

Q: I am writing a program with Artist and Artwork classes and a main.py file to run both classes. First…

A: Algorithm main(): while True: 1. Print("Enter the artist's information") 2. Read…

Q: Question 2 Using the following state diagram, construct the state table without encoding. 1/0 0/1 A…

A: The query requests information about the state table for a specific state diagram without encoding.…

Q: dentify and discuss three platform-specific vulnerabilities, providing mitigation strategies for…

A: The software applications serve as the backbone of modern operations, the imperative of fortifying…

Q: Exercise 5 Write a function called is_sorted that takes a list as a parameter and returns True if…

A: A list is a type of data structure that makes it simple to access, add, and remove things by…

Q: 6.4-10 Network- and Link-layer addressing: an end-to-end-scenario (3a). Consider the network shown…

A: A frame is a data unit that gets transmitted via a network. Frames are data encapsulations of…

Q: Hi guys can you check the given problem below and provide me with a solution and also the steps…

A: Fuzzy logic:Fuzzy logic is a mathematical framework that deals with reasoning and decision-making in…

Q: This is a coding question. Now that you have worked out the gradient descent and the update rules.…

A: Ridge Regression Algorithm:1. Import necessary libraries: numpy, pandas, sklearn, matplotlib.2.…

Q: Which of the following is the correct first line of a function that swaps two elements of an array…

A: The problem involves creating a function to swap elements within an array. Given an array and two…

Q: Create a program that performs the following one-dimensional-array operations: Create an array…

A: Kindly note that I have used Java as the programming language, as there was no mention of…

Q: 6.3B-5. Multiple Access protocols (5). Consider the figure below, which shows the arrival of 6…

A: In Ethernet networks, the CSMA/CD network protocol is used to control access to a common…

Q: Split blood pressure into systolic and diastolic blood pressure with integer as data type readings…

A: Algorithm: Preprocessing of Predictor Variables in a Dataset1. Input the dataset (e.g., as a CSV…

Q: The database in the store where you work is having trouble with the transactions. The database…

A: Database : It is an organized collection of structured information, or data, typically stored…

Q: This question is about the procedure linearSearch, which was discussed in the lectures. 1…

A: Linear search is a basic algorithm used in computer science to locate a specific element within a…

Q: 11.4. Describe the source IP and destination IP addresses for packets A, B, and C shown in the…

A: An IP address (Internet Protocol address) can be defined in such a way that it is a unique numerical…

Q: Summarize self-emission in computer graphics

A: Self-emission in computer graphics refers to the property of a surface or an object to emit light by…

Q: Project: Blood Donation System The blood donation center is responsible for managing the donations…

A: The ER Diagram for the given Blood Donation System is provided below.

Q: Implement the Solver class. The point of the solver class is the solve method which takes a…

A: Define the Solver class with a solve method that takes a 5-by-5 boolean array representing the…

Q: Problem 2. A certain file foo contains the ASCII text string "This file contains 28 bytes.". That…

A: In this scenario, we are working with a file named "foo" that initially contains the ASCII text…

Q: Suggest TWO reasons why such breaches could occur Dear Expert please help me expound on this…

A: In the digital age, security breaches are a constant and changing threat to enterprises, with…

Q: (4). If L is in SD and its complement is context-free, then L must be in D. O True O False

A: The statement is talking about languages in the realm of formal language theory. In formal language…

Q: Which phase of the data warehouse development life cycle involves defining the data sources and…

A: Large volumes of data from multiple sources are stored, consolidated, and managed inside an…

Q: S→ abAB | ba, A→ aaa, BaA | bb and SabAaA | abAbb | ba, A-aaa are equivalent.

A: We must prove that one grammar produces the same language as the other in order to establish their…

Q: Use SQL to write the following queries: 1. a) Find the last names of students born after January 1,…

A: a) Find the last names of students born after January 1, 2000:1SELECT last_name 2FROM students…

Q: In Kotlin A. Write a function lengthGreaterThan() with an expression body that takes a String s and…

A: Part A: lengthGreaterThan(s: String?, n: Int): BooleanInput: Accepts a nullable String s and an…

Q: Draw a line from each hexadecimal value

A: In step 2, I have provided ANSWER with BRIEF EXPLANATION...

Q: Consider a cache memory with 8 cache blocks (0-7). If the memory block requests are in the following…

A: We're dealing with an 8-block cache memory, and we have a series of memory block requests to handle.…

Q: how would you do this in a simple way? this is a non graded practice lab

A: The objective of the question is to find the index of the 'dumbest' person in an ArrayList of Person…

Q: a. Identify the specific vulnerability present in the code. b. Discuss the potential consequences of…

A: In this question we have to understand the given C program code snippet regarding file permission…

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

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Reduction from independent set

VIEW

Step 2: Answer:3-CNF formula

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 8 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

(1) Draw a transition graph for the dfa M={ Q,E, 8.q..F), where Q={g,.g1-42}. E= {a, b}, F = {q1} and ô is defined as S(q0, a) = q1- 8(q0, b) = q0, 8(q1, b) = q1. 8(q1, a) = q2, 8(q2, b) = q2, ô(q2, a) = q2 (2) Give the language accepted by the above dfa.
1. Write the ô function for the following transition graphs (1) dfa (δοΕ: QxΣ Q) a 91 92 (2) nfa (5NF4 : Qx (EU{2})→ P(Q)) www a, b a 92
ExpressF(A,B,C,D) = Σm(1,3,4,6,9,11,12,14) + Σd(2,8,10,15) inPOS using K-MAP
Determine P(A x B) – (A x B) where A = {a} and B = {1, 2}.
Explain the Karnaugh maps of R1,R2,Y1,Y2,G1,G2 and its Boolean functions. Explain in paragraph form. (5-10 sentences) K-map for R1 K-map for Y1 K-map for G1 B A 0 1 ABO 1 ABO 1 0 0 0 1 1 0 0 1 1 1 1 0 0 1 00 R1 = A Y1 = A'B G1 = A'B' K-map for R2 K-map for Y2 K-map for G2 0 B 1 ABO 1 0 1 1 0 0 0 0 0 1 0 1 1 Y2 = AB G2 = AB' 1 O O O R2 = A' 1 0 1 O O O
What is the number of connected components for each of the following graphs? (a) (b) (c) (d) 3 4 2 a. U. Z X a. X b. V₁ • b V y 2₂ V4 C ● V3 W ● X Ⓡ g h →
(1) Given a weighted directed graph G = (V, E, w), where V = {1, 2, 3, 4}, E ={(1,3), (2,1), (2,4), (3,2), (4,1), (4,3)}, and w(1,3) = −2, w(2,1) = 1, w(2,4) = 2,w(3,2) = 4, w(4,1) = −3, w(4,3) = 3. (a) Represent the graph G graphically;(b) Run SLOW-ALL-PAIRS-SHORTEST-PATHS on the above graph and show the matricesL(k) that result for each iteration of the loop. (2) Discuss how to use the Floyd-Warshall algorithm to detect a negative-weight cycle. (3) The essence of Johnson’s algorithm is re-weighting so that a transformed graph has no negativeweight edges, which enables the use of Dijkstra’s algorithm. Let us modify Johnson’s algorithmsuch that G' = G and s be any vertex. (a) Give a counter example (i.e. a simple weighted and directed graph) to show thismodification is incorrect assuming ∞ − ∞ is undefined(b) Show (using logical arguments) this modification produces the correct results when a givenG is strongly connected.
1. Use k-map to simplify the following expression: AC + ABD + ABD + BCD 2. Express the function of the table to its minimum SOP form by using a k-map. Y 1 1 0 ABC 000 0 1 1 0 0 0 ---0 1 1 OOOOD 0 0 0 3. Express the function of the table to its minimum POS form by using a k-map. A 0 OOOO------- 0 1 0 1 1 1 0 1 1 BOOOO В 0 0 0 1 0 1 0 0 blooo 1000 с 1 1 1 0 1 COTTOOTE DO 0 1 1 1 1 0 0 1 0 1 1 1 1 0 0 HO 0 OTO 1 0 1 0 TOTOHOTO 0 0 1 0 1 0 0 1 1 1 0 1 0 1 1 1 1 0 1 1 Y 0 1 1 0 0 0 1 1 1 0 1 0 1 1 0 1
The multiple connected zones of Hamilton are shown in a planar map, in the following Fig.1. Drawthe planar graph for the following map (in Fig. 1) of multiple connected zones. Find out the minimum numberof frequencies needs to be used using graph theory, so that different zones of the following planar map areassigned with different frequencies (i.e., each zone operates at one single frequency) in such a way that noadjacent zones (i.e., zones with common borders) use the same frequency? The frequencies available for useare 10 GHz, 20 GHz, 40 GHz, 60 GHz, 80 GHz, 100 GHz, 120 GHz, and 140 Hz. Show your detailed work. Fig. 1: Spectrum division of Hamilton
Find the K-maps for the following functions. Eliminate the 0-hazards for F (A, B, C, D) and 1-hazards for G(A, B, C, D). (a) F (A, B, C, D) = (A + C)(A' + D')(B' + C' + D) (b) G(A, B, C, D) = Σm(0, 4, 5, 10, 11, 13, 14, 15)
Given the complement of a graph G is a graph G' which contains all the vertices of G, but for each unweighted edge that exists in G, it is not in G', and for each possible edge not in G, it is in G'. What logical operation and operand(s) can be applied to the adjacency matrix of G to produce G'? AND G's adjacency matrix with 0 to produce G' XOR G's adjacency matrix with 0 to produce G' XOR G's adjacency matrix with 1 to produce G' AND G's adjacency matrix with 1 to produce G'
For each graph representation, select the appropriate worst-case space complexity: Adjacency Matrix: Edge List : Adjacency List: o(V+E) O(E^2) O(E) O(V^2)