EXERCISE 6.4 Define the binary ↑ (Sheffer's stroke), and its dual as follow xty10 :y x: 101 011 xty|10 : y x: 100 001 Show that {†} is expressively complete, and that so is {}}. (Hint: Express some expressively complete set using the connective.)

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EXERCISE 6.4 Define the binary ↑ (Sheffer's stroke), and its dual as follows:
x ↑ y10 :y
x: 101
011
x + y10 : y
100
00 1
Show that {t} is expressively complete, and that so is {4}.
(Hint: Express some expressively complete set using the connective.)
Transcribed Image Text:EXERCISE 6.4 Define the binary ↑ (Sheffer's stroke), and its dual as follows: x ↑ y10 :y x: 101 011 x + y10 : y 100 00 1 Show that {t} is expressively complete, and that so is {4}. (Hint: Express some expressively complete set using the connective.)
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