An algorithm to find a "solution" to a propositional formula with n variables works by assigning, one at a time, all possible sets of truth values to the statement letters and finding an assignment that makes the propositional formula true. The unit of work for this algorithm is the examination of one set of truth values to determine whether the formula is true for that assignment. What is the worst case time complexity of this algorithm? O lg n O n lg n O n! O 2"

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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An algorithm to find a "solution" to a propositional formula with n variables works by assigning,
one at a time, all possible sets of truth values to the statement letters and finding an assignment
that makes the propositional formula true. The unit of work for this algorithm is the examination
of one set of truth values to determine whether the formula is true for that assignment. What is
the worst case time complexity of this algorithm?
U Ig n
O n lg n
O n!
2n
Transcribed Image Text:An algorithm to find a "solution" to a propositional formula with n variables works by assigning, one at a time, all possible sets of truth values to the statement letters and finding an assignment that makes the propositional formula true. The unit of work for this algorithm is the examination of one set of truth values to determine whether the formula is true for that assignment. What is the worst case time complexity of this algorithm? U Ig n O n lg n O n! 2n
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