1. Use the truth table method to evaluate the following sequents. Be sure to indicate explicitly whether the double turnstile holds or doesn't. 1. -(P→Q) / (P→~Q)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Use the truth table method to evaluate the following sequents. Be sure to indicate explicitly whether the double turnstile holds or
doesn't.
1.
-(P→Q) / (P→~Q)
(P&-Q) v (~P&Q) / (P v ~Q
-(P→P)/
((P&Q) & (~P&~Q)) /
2.
3.
4.
/ ((P&Q) v ~Q)
6.
5.
/ ((P→Q) v (R→P))
Transcribed Image Text:1. Use the truth table method to evaluate the following sequents. Be sure to indicate explicitly whether the double turnstile holds or doesn't. 1. -(P→Q) / (P→~Q) (P&-Q) v (~P&Q) / (P v ~Q -(P→P)/ ((P&Q) & (~P&~Q)) / 2. 3. 4. / ((P&Q) v ~Q) 6. 5. / ((P→Q) v (R→P))
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