Mixing
Dual of each of these compound propositions.
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I'm doing my Discrete Structure assignment. The question asked to find the dual of each of these compound propositions. Note that T denotes a tautology and F denotes a contradiction. The questions are:
a) $p∧¬q∧¬r$
b) $(p∧q∧r)∨s$
c) $(p∨F)∧(q∨T)$
My answers:
a) $¬p∨q∨r$
b) $(¬p∨¬q∨¬r)∧¬s$
c) $(¬p∧T)∨(¬q∧F)$
Did I got it right?
Thank you!
discrete-mathematics logic proof-verification
asked Feb 17 '16 at 2:17
Krin YongvongphaiboonKrin Yongvongphaiboon
64
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add a comment |
$begingroup$
I'm doing my Discrete Structure assignment. The question asked to find the dual of each of these compound propositions. Note that T denotes a tautology and F denotes a contradiction. The questions are:
a) $p∧¬q∧¬r$
b) $(p∧q∧r)∨s$
c) $(p∨F)∧(q∨T)$
My answers:
a) $¬p∨q∨r$
b) $(¬p∨¬q∨¬r)∧¬s$
c) $(¬p∧T)∨(¬q∧F)$
Did I got it right?
Thank you!
discrete-mathematics logic proof-verification
asked Feb 17 '16 at 2:17
Krin YongvongphaiboonKrin Yongvongphaiboon
64
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What is your question?
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– Yeah..
Feb 17 '16 at 2:22
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@Yeah. The question appears to be : "Did I get it right?"
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– Graham Kemp
Feb 17 '16 at 2:23
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@GrahamKemp YES! :P
$endgroup$
– Krin Yongvongphaiboon
Feb 17 '16 at 2:24
add a comment |
$begingroup$
I'm doing my Discrete Structure assignment. The question asked to find the dual of each of these compound propositions. Note that T denotes a tautology and F denotes a contradiction. The questions are:
a) $p∧¬q∧¬r$
b) $(p∧q∧r)∨s$
c) $(p∨F)∧(q∨T)$
My answers:
a) $¬p∨q∨r$
b) $(¬p∨¬q∨¬r)∧¬s$
c) $(¬p∧T)∨(¬q∧F)$
Did I got it right?
Thank you!
discrete-mathematics logic proof-verification
asked Feb 17 '16 at 2:17
Krin YongvongphaiboonKrin Yongvongphaiboon
64
$endgroup$
I'm doing my Discrete Structure assignment. The question asked to find the dual of each of these compound propositions. Note that T denotes a tautology and F denotes a contradiction. The questions are:
a) $p∧¬q∧¬r$
b) $(p∧q∧r)∨s$
c) $(p∨F)∧(q∨T)$
My answers:
a) $¬p∨q∨r$
b) $(¬p∨¬q∨¬r)∧¬s$
c) $(¬p∧T)∨(¬q∧F)$
Did I got it right?
Thank you!
discrete-mathematics logic proof-verification
discrete-mathematics logic proof-verification
asked Feb 17 '16 at 2:17
Krin YongvongphaiboonKrin Yongvongphaiboon
64
asked Feb 17 '16 at 2:17
Krin YongvongphaiboonKrin Yongvongphaiboon
64
edited Feb 17 '16 at 2:25
Krin Yongvongphaiboon
asked Feb 17 '16 at 2:17
Krin YongvongphaiboonKrin Yongvongphaiboon
64
asked Feb 17 '16 at 2:17
Krin YongvongphaiboonKrin Yongvongphaiboon
64
asked Feb 17 '16 at 2:17
Krin YongvongphaiboonKrin Yongvongphaiboon
64
64
$begingroup$
What is your question?
$endgroup$
– Yeah..
Feb 17 '16 at 2:22
$begingroup$
@Yeah. The question appears to be : "Did I get it right?"
$endgroup$
– Graham Kemp
Feb 17 '16 at 2:23
$begingroup$
@GrahamKemp YES! :P
$endgroup$
– Krin Yongvongphaiboon
Feb 17 '16 at 2:24
add a comment |
$begingroup$
What is your question?
$endgroup$
– Yeah..
Feb 17 '16 at 2:22
$begingroup$
@Yeah. The question appears to be : "Did I get it right?"
$endgroup$
– Graham Kemp
Feb 17 '16 at 2:23
$begingroup$
@GrahamKemp YES! :P
$endgroup$
– Krin Yongvongphaiboon
Feb 17 '16 at 2:24
$begingroup$
What is your question?
$endgroup$
– Yeah..
Feb 17 '16 at 2:22
$begingroup$
What is your question?
$endgroup$
– Yeah..
Feb 17 '16 at 2:22
$begingroup$
@Yeah. The question appears to be : "Did I get it right?"
$endgroup$
– Graham Kemp
Feb 17 '16 at 2:23
$begingroup$
@Yeah. The question appears to be : "Did I get it right?"
$endgroup$
– Graham Kemp
Feb 17 '16 at 2:23
$begingroup$
@GrahamKemp YES! :P
$endgroup$
– Krin Yongvongphaiboon
Feb 17 '16 at 2:24
$begingroup$
@GrahamKemp YES! :P
$endgroup$
– Krin Yongvongphaiboon
Feb 17 '16 at 2:24
add a comment |
1 Answer
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Yes. All three check: okay.
You've negated all the propositions and dualled all the operators.
That is what you needed to do.
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$begingroup$
Thank you for confirming :)
$endgroup$
– Krin Yongvongphaiboon
Feb 17 '16 at 2:25
add a comment |
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1 Answer
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1 Answer
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active
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votes
$begingroup$
Yes. All three check: okay.
You've negated all the propositions and dualled all the operators.
That is what you needed to do.
$endgroup$
$begingroup$
Thank you for confirming :)
$endgroup$
– Krin Yongvongphaiboon
Feb 17 '16 at 2:25
add a comment |
$begingroup$
Yes. All three check: okay.
You've negated all the propositions and dualled all the operators.
That is what you needed to do.
$endgroup$
$begingroup$
Thank you for confirming :)
$endgroup$
– Krin Yongvongphaiboon
Feb 17 '16 at 2:25
add a comment |
$begingroup$
Yes. All three check: okay.
You've negated all the propositions and dualled all the operators.
That is what you needed to do.
$endgroup$
Yes. All three check: okay.
You've negated all the propositions and dualled all the operators.
That is what you needed to do.
answered Feb 17 '16 at 2:21
community wiki
Graham Kemp
$begingroup$
Thank you for confirming :)
$endgroup$
– Krin Yongvongphaiboon
Feb 17 '16 at 2:25
add a comment |
$begingroup$
Thank you for confirming :)
$endgroup$
– Krin Yongvongphaiboon
Feb 17 '16 at 2:25
$begingroup$
Thank you for confirming :)
$endgroup$
– Krin Yongvongphaiboon
Feb 17 '16 at 2:25
$begingroup$
Thank you for confirming :)
$endgroup$
– Krin Yongvongphaiboon
Feb 17 '16 at 2:25
add a comment |
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$begingroup$
What is your question?
$endgroup$
– Yeah..
Feb 17 '16 at 2:22
$begingroup$
@Yeah. The question appears to be : "Did I get it right?"
$endgroup$
– Graham Kemp
Feb 17 '16 at 2:23
$begingroup$
@GrahamKemp YES! :P
$endgroup$
– Krin Yongvongphaiboon
Feb 17 '16 at 2:24