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4 votes
1 answer
2k views

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 ...
Constantly confused's user avatar
3 votes
3 answers
13k views

I want a clear explanation for the Principle of Strong Mathematical Induction

I understood the Principle of Mathematical Induction. I know how to make a recursive definition. But I am stuck with how the "Principle of Strong Mathematical Induction (- the Alternative Form)" ...
malhobayyeb's user avatar
2 votes
1 answer
688 views

Structural Induction, Propostitonal formulae problem

I am kind of overwhelmed by this question. Can anyone give me some hints about where to start? Propositional formulae PF are inductively defined over the Boolean constants B := {1, 0} (true and ...
TonyH's user avatar
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