Let a⪯b⪯c⪯da⪯b⪯c⪯d be the variable ordering. ϕ=ϕ= a&b&d&!c|a&c&d|d&!b&!c|!d β=β= a&b&c|!c a) Convert the formula ϕϕ to Shannon normal form. b) Convert the formula ββ to Shannon normal form.
Let a⪯b⪯c⪯da⪯b⪯c⪯d be the variable ordering. ϕ=ϕ= a&b&d&!c|a&c&d|d&!b&!c|!d β=β= a&b&c|!c a) Convert the formula ϕϕ to Shannon normal form. b) Convert the formula ββ to Shannon normal form.
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter41: Atomic Physics
Section: Chapter Questions
Problem 45AP
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Let a⪯b⪯c⪯da⪯b⪯c⪯d be the variable ordering.
ϕ=ϕ= a&b&d&!c|a&c&d|d&!b&!c|!d
β=β= a&b&c|!c
ϕ=ϕ= a&b&d&!c|a&c&d|d&!b&!c|!d
β=β= a&b&c|!c
a) Convert the formula ϕϕ to Shannon normal form.
b) Convert the formula ββ to Shannon normal form.
c) ψψ is obtained by replacing all occurences of the variable b by formula ββ in formula ϕϕ.
Compute the ROBDD of ψψ by the Compose algorithm, and convert the result to Shannon normal form.
Compute the ROBDD of ψψ by the Compose algorithm, and convert the result to Shannon normal form.
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