Homework Help is Here – Start Your Trial Now!
Engineering
Computer Engineering
For clarification (as my previous question was removed), this is NOT a writing assignment and are notes I personally took for a CS 381 - Discrete Mathematics course. Please, refer to the highlighted denotations; I would like to know how these denotations are read? Thank you in advance.

For clarification (as my previous question was removed), this is NOT a writing assignment and are notes I personally took for a CS 381 - Discrete Mathematics course. Please, refer to the highlighted denotations; I would like to know how these denotations are read? Thank you in advance.

Computer Networking: A Top-Down Approach (7th Edition)
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...
See similar textbooks
icon
Related questions
Question
100%

For clarification (as my previous question was removed), this is NOT a writing assignment and are notes I personally took for a CS 381 - Discrete Mathematics course.

Please, refer to the highlighted denotations; I would like to know how these denotations are read?

Thank you in advance. 

1.3.6 APPLICATIONS OF SATISFIABILITY Many problems, in diverse areas such as robotics, software testing, artificial intelligence planning, computer- aided design, machine vision, integrated circuit design, scheduling, computer networking, and genetics, can be modeled in terms of propositional satisfiability. EXAMPLE 10 “The n-Queens Problem": The n-queens problem asks for a placement of n queens on an n x n chessboard so that no queen can attack another queen. Below is the solution to the eight-queens problem. To model the n-queens problem as a satisfiability problem, we introduce n² variables. • p(i, j) for i = 1,2, ... ,n and j = 1,2, ..., n. 1.3 – Propositional Equivalences For a given placement of a queen on the chessboard, p(i, j) is true when there is a queen on the square in the ith row and jth column and is false otherwise. For no two of the n queens to be in the same row, there must be one queen in each row. We can verify this in the figure above. The denotation below verifies that row i contains at least one queen: o V1 p(i, j) The denotation below asserts that every row contains at least one queen: o Q1 = N1 V}=1p(i,j)
Transcribed Image Text:1.3.6 APPLICATIONS OF SATISFIABILITY Many problems, in diverse areas such as robotics, software testing, artificial intelligence planning, computer- aided design, machine vision, integrated circuit design, scheduling, computer networking, and genetics, can be modeled in terms of propositional satisfiability. EXAMPLE 10 “The n-Queens Problem": The n-queens problem asks for a placement of n queens on an n x n chessboard so that no queen can attack another queen. Below is the solution to the eight-queens problem. To model the n-queens problem as a satisfiability problem, we introduce n² variables. • p(i, j) for i = 1,2, ... ,n and j = 1,2, ..., n. 1.3 – Propositional Equivalences For a given placement of a queen on the chessboard, p(i, j) is true when there is a queen on the square in the ith row and jth column and is false otherwise. For no two of the n queens to be in the same row, there must be one queen in each row. We can verify this in the figure above. The denotation below verifies that row i contains at least one queen: o V1 p(i, j) The denotation below asserts that every row contains at least one queen: o Q1 = N1 V}=1p(i,j)
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Computer Networking: A Top-Down Approach (7th Edi…
Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON
Computer Organization and Design MIPS Edition, Fi…
Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
Network+ Guide to Networks (MindTap Course List)
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
Concepts of Database Management
Concepts of Database Management
Computer Engineering
ISBN:
9781337093422
Author:
Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:
Cengage Learning
Prelude to Programming
Prelude to Programming
Computer Engineering
ISBN:
9780133750423
Author:
VENIT, Stewart
Publisher:
Pearson Education
Sc Business Data Communications and Networking, T…
Sc Business Data Communications and Networking, T…
Computer Engineering
ISBN:
9781119368830
Author:
FITZGERALD
Publisher:
WILEY
SEE MORE TEXTBOOKS