All Questions
5
questions
3
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2
answers
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Proof by induction of inadequacy of a propositional connective
I have the following truth table of a newly defined logical operator and have to prove its functional incompleteness via structural induction.
My idea is that that you cannot express the always true ...
- 51
-1
votes
1
answer
206
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Logic in Computer Science - Define inclusive XOR by induction [closed]
What is the formal definition by induction for iterated exclusive or (XOR) from $i = 1$ to $n$. Thanks
This is the notation: $\bigoplus_{i=1}^n A_i$.
4
votes
1
answer
2k
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Proof of Principle of Duality: Show that $φ$' is logically equivalent to $¬φ$
Could anyone check if my proof is ok/ suggest any improvement please? I couldn't find a way to utilise the induction hypothesis so I am not sure if this is ok.
Let $φ$ be a formula built up using ...
- 1,458
0
votes
1
answer
980
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Changing conjunction and disjunction in equivalent boolean functions.
I have some difficulties to prove that if two equivalent boolean functions contain only ∧, ∨ and $\neg$ than we can change ∧ to ∨ and vice versa and the result functions will remain equivalent.
There'...
1
vote
1
answer
1k
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Using induction to prove universality of gate
Can we use induction to prove gate(like NAND) is universal. If so how?
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