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Does this loop invariant guarantee that the variable never changes?

Suppose you have some loop and and integer k: int k = 5; for (int i = 0 ; i < N; i++) { //(*) //do something } The loop invariant at (*) is: $\{ K=k\}$ ...
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3answers
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Loop Invariants as Tautologies

Would it be correct to characterize loop invariants as a type of tautology? I ask since the invariant must basically always be true, before the loop starts, before each iteration and after the loop ...
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1answer
87 views

Counting Inversions Using Merge Sort

In Corman, Introduction To Algorithms, 3rd edition, question 2-4 it asks to count the number of inversions in a list of numbers in $\theta( n \lg n )$ time. He uses a modified Merge Sort to ...
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1answer
61 views

Can GDB debug itself?

Can GDB be run on itself? How or why not? I see something about it http://www.math.utah.edu/docs/info/gdbint_3.html But GDB might not be written in a language that it can debug?
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3answers
242 views

Can all languages have semantic and logical errors?

I have been reading about PHP and many authors mention semantic and logical errors separately. As an example of a semantic error, they give a function called with incorrect number of parameters: this ...