Insertion Sort- Proof of correctness using loop invariance

In this video, we discuss the correctness of Insertion Sort and prove it using the concept of loop invariance.

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[blue-gogr]

I've been reading the same exact words your explaining here on my book for the past hour and my mind was like ' I DON NOT GET IT MOVE ON PLEASSSE " and here I'm now fully understanding the whole concept of LI with the example on top .. thank you so much 🤍

[Javier-ovhj]

Thank you very much for making such a clear explanation of the loop invariant! This video has been extremely helpful!

[abdelrhmangamal]

والله الواحد من غير اخواته الهنود معرفش كان هيعمل اية جمايلكم مغرقانة والله شكرا جدا 🫡

[colbymus]

What you claim holds true while the internal while loop is correct, so would you need to prove the internal loop given the conditions of each loop for a sound proof?

[Cool.couple.channel]

the loop invariant condition...is it going to be different for different algorithms ??? Here the condition was subarray A[1...j-1] consists of elements prriginally in A[1...j-1] but in sorted order. To porve loop invariant, do we consider this condition true for every algorithm ??

[Sidgo]

Why did u start from j=1? instead of 0th index or 1st index sir?
Pls respond sir i got an exam now shortly

[jbipmni]

how to proof correctness of this algorithm:
function increment(y)
comment Return y + 1, where y in N
x := 0; c:= 1; d:= 1;
while (y > 0) V (c > 0) do
a :=y mod 2;
if a XOR c then x=x+d;
c:= a AND c;
d:= 2d; y := [y/2] :
return(x)

[sMKUMARSAISKLM]

Thank you very much, sir for a clear explanation please make more videos sir.

[savindul.w.]

Thank you very much sir. This was a clear explanation.