Which of the following statements about loop invariants is false?

Which of the following statements about loop invariants is false?

Which of the following statements about loop invariants is false? Loop invariants remain true each time a loop is executed. A loop invariant is the opposite, that is the negation, of the condition of the loop. …

What are invariants in programming?

An invariant is a condition or relation that is always true. The definition is modified somewhat for concurrent execution: an invariant is a condition or relation that is true when the associated lock is being set. Once the lock is set, the invariant can be false.

Is for loop linear search?

Linear Search Algorithm

  • Traverse the array using a for loop.
  • In every iteration, compare the target value with the current value of the array. If the values match, return the current index of the array. If the values do not match, move on to the next array element.
  • If no match is found, return -1 .

Which is an example of a loop invariant?

A loop invariant is simply something that is true on every iteration of the loop. For example, take a really trivial while loop: Here the loop invariant would be that x ≤ 6.

Is it scary to write a loop invariant proof?

Loop invariant proofs might seem scary at first, in particular if you are not used to writing mathematical proofs. But they shouldn’t be: when you plan to write a loop invariant proof, you already have an algorithm and you have an intuitive notion of why the algorithm is correct.

When does an invariant have to be true?

Invariant in this case means a condition that must be true at a certain point in every loop iteration. In contract programming, an invariant is a condition that must be true (by contract) before and after any public method is called.

Which is the correct solution in a loop?

Now in this specific example, “the correct solution” is the sum of the numbers, so indeed we again end up with the loop invariant: Loop Invariant: At the start of the iteration j of the loop, the variable answer should contain the sum of the numbers from the subarray A [ 0: j].