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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...
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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)
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