"The consensus committee then verifies the correctness of the computation results from the computation committee.
By having the computation committee working in parallel with the consensus committee only needing to verify the correctness of the computation creates an easier path to scalability.
An accurate computation of the value requires the system to spend a certain amount of energy for guaranteeing the correctness of the computation.
We use different mathematical and cryptographic methods to enable efficient verification of the correctness of the computation results.
The argumentation for the correctness of the computation of S w, v, c w) follows analogously.
The correctness of the computation conducted lines 10-13 in the case where l - j < k - i is shown similarly.
Roughly speaking, the technique constructs an internal representation of all (sub computations performed during the execution of a buggy program; and then, it asks the programmer about the correctness of such computations.
be held accountable for their actions as provided by law, except that such a disbursing officer shall not be held accountable or responsible for any illegal, improper, or incorrect payment resulting from any false, inaccurate, or misleading certificate for which a certifying officer is responsible under subsection (b). the correctness of the computations of certified payment requests.
While previous works describe other practical acceleration techniques for some of the mentioned problems [ 14, 25, 28, 32- 38], Valiant's technique, along with the Four Russians technique [ 28, 30, 31], are the only two techniques which currently allow to reduce the theoretical asymptotic worst case running times of the standard algorithms, without compromising the correctness of the computations.
The proof of correctness of such a computation is a simple exercise, left to the reader.
The proof of Theorem 1 appears in Appendix "Correctness of the recursive computation".
