3. Express these system specifications using the propositions p "The user enters a valid pass- word," q "Access is granted," and r "The user has paid the subscription fee" and logical connectives (including negations). a) "The user has paid the subscription fee, but does not enter a valid password." b) "Access is granted whenever the user has paid the subscription fee and enters a valid password." c) "Access is denied if the user has not paid the subscription fee." d) "If the user has not entered a valid password but has paid the subscription fee, then access is granted."

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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3. Express these system specifications using the propositions p "The user enters a valid pass-
word," q "Access is granted," and "The user has paid the subscription fee" and logical
connectives (including negations).
a) "The user has paid the subscription fee, but does not enter a valid password."
b) "Access is granted whenever the user has paid the subscription fee and enters a valid
password."
c) "Access is denied if the user has not paid the subscription fee."
d) "If the user has not entered a valid password but has paid the subscription fee, then access
is granted."
Transcribed Image Text:3. Express these system specifications using the propositions p "The user enters a valid pass- word," q "Access is granted," and "The user has paid the subscription fee" and logical connectives (including negations). a) "The user has paid the subscription fee, but does not enter a valid password." b) "Access is granted whenever the user has paid the subscription fee and enters a valid password." c) "Access is denied if the user has not paid the subscription fee." d) "If the user has not entered a valid password but has paid the subscription fee, then access is granted."
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