Artificial Intelligence: A Modern Approach
3rd Edition
ISBN: 9780136042594
Author: Stuart Russell, Peter Norvig
Publisher: Prentice Hall
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Chapter 6, Problem 6E
Show how a single ternary constraint such as “A + B = C” can be turned into three binary constraints by using an auxiliary variable. You may assume finite domains. (Hint: Consider a new variable that takes on values that are pairs of other values, and consider constraints such as “X is the first element of the pair Y.”) Next, show how constraints with more than three variables can be treated similarly. Finally, show how unary constraints can be eliminated by altering the domains of variables. This completes the demonstration that any CSP can be transformed into a CSP with only binary constraints.
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Show how a single ternary constraint such as “A + B = C” can be turned into three binaryconstraints by using an auxiliary variable. You may assume finite domains. (Hint: Consider a newvariable that takes on values that are pairs of other values, and consider constraints such as “X is thefirst element of the pair Y .”) Next, show how constraints with more than three variables can betreated similarly. Finally, show how unary constraints can be eliminated by altering the domains ofvariables. This completes the demonstration that any CSP can be transformed into a CSP with onlybinary constraints.
Explain the mechanics of double constraints. Tell me, what are they?
Give an explanation of the difference between disjoint constraints and overlapping ones.
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Artificial Intelligence: A Modern Approach
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