Use loop invariant to prove the working of the program, Programming Languages

1.  Use mathematical induction to prove

281_Use loop invariant to prove the working of the program.png

Whenever n is a positive integer.

2.  Use loop invariant to prove that the program for computing the sum of 1,...,n is correct.

INPUT: Integer n

OUTPUT: The sum of 1,...,n  

S(n)

1.  i ← 0

2.  while n>0

3.     do   i  ← i + n

4. n  ← n-1

5.  return(i)

Posted Date: 3/22/2013 3:21:47 AM | Location : United States







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1.  Use mathematical induction to prove Whenever n is a positive integer. 2.  Use loop invariant to prove that the program for computing the sum of 1,...,n is correct.