Logic of statements or propositions. prove that | and ↓ are the only complete connectives by themselves and that {¬,#} is not complete. (where # is the majority logic function) Please be as clear as possible. Use definitions if necessary. Show and explain all the steps of the proof. Thank you.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.3: Properties Of Numbers
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Mathematical logic

Logic of statements or propositions.

prove that | and ↓ are the only complete connectives by themselves and that {¬,#} is not complete. (where # is the majority logic function)

Please be as clear as possible. Use definitions if necessary. Show and explain all the steps of the proof. Thank you.

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