You are given the following logical expression (+ representing the logical OR, concatenation representing the logical AND): (x + w)(w + z) (a) Is this expression (already) in conjunctive normal form (CNF)? If not, use the procedure described on the lectures to put it in CNF. (b) Use the procedure described on the lectures -- by introducing new logical variables transform the given expression into a 3-CNF expression that is satisfiable if and only if the given expression is satisfiable. (c) Construct an undirected graph from the 3-CNF expression that you constructed in (b) (following the procedure described on the lectures) and find one of the minimal node covers of that graph. What is the budget k?
You are given the following logical expression (+ representing the logical OR, concatenation representing the logical AND): (x + w)(w + z) (a) Is this expression (already) in conjunctive normal form (CNF)? If not, use the procedure described on the lectures to put it in CNF. (b) Use the procedure described on the lectures -- by introducing new logical variables transform the given expression into a 3-CNF expression that is satisfiable if and only if the given expression is satisfiable. (c) Construct an undirected graph from the 3-CNF expression that you constructed in (b) (following the procedure described on the lectures) and find one of the minimal node covers of that graph. What is the budget k?
Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Homework 9 Satisfiability
You are given the following logical expression (+ representing the logical OR, concatenation representing the logical AND):
(x + w)(w + z)
(a) Is this expression (already) in conjunctive normal form (CNF)?
If not, use the procedure described on the lectures to put it in CNF.
(b) Use the procedure described on the lectures -- by introducing new logical variables transform the given expression into a 3-CNF expression that is satisfiable if and only if the given expression is satisfiable.
(c) Construct an undirected graph from the 3-CNF expression that you constructed in (b) (following the procedure described on the lectures) and find one of the minimal node covers of that graph. What is the budget k?
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