Sentence examples for proof that the algorithm from inspiring English sources

The design of an algorithm involves its description at an abstract level by means of a pseudo-language and the proof that the algorithm is correct.

The success of this implementation is a proof that this algorithm is ready to use at least in cases close to the given example.

Iterative algorithms have been presented in [2 4] for the convex optimization problem with a fixed point constraint along with proof that these algorithms converge strongly to the unique solution of problems with a strongly monotone operator.

The main contribution of this paper is a constructive proof that leads straightforwardly to an algorithm that computes the skewness of the MPD in Θ(n) time.

The proofs also show that the algorithm NEWTSDS saves us a lot of effort to avoid tedious calculation, so that we can concentrate on the mainline of the process.

There is an algorithm to recover the formulas that constitute a proof of the type of the combinator, moreover, the algorithm produces a proof that is minimal and well-structured.

It is easy to see from the proof of Theorem 1 that the Algorithm 1 is always well defined.

The distributed scheduling method proposed by Yu et al. [46] can generate conflict-free schedules where the upper limit of delay is 24D + 6∆ + 16 time slots, and the diameter of network is D. Xu et al. [47] gave theoretical proof that their algorithm can generate the aggregation schedule where the upper limit of delay is 16 + R∆ − 14 time slots.

Every constructive proof embodies an algorithm that, in principle, can be extracted and recast as a computer program; moreover, the constructive proof is itself a verification that the algorithm is correct — that is, meets its specification.

Stephen concluded with an algorithm (without proof) that produces sets S with S>1+log_2(n) for n = 24, 46, 88, and potentially infinitely more.

It turns bug detection into a mathematical algorithm, generating a correctness proof that guarantees software has no memory leaks or illegal pointer references.