Proof-carrying code, on the other hand, has its own set of limitations, among which are the size of proofs and the fact that the certified code is no longer machine independent.
Biomarkers complementing clinical evaluations may help to reduce the length and size of proof-of-concept (PoC) trials aimed to obtain quick "go/no go" decisions in the clinical development of new treatments.
For instance, a strategy may reduce the size of the proof search space at the expense of increasing, say, the length of the shortest refutations.
In developing translational studies, which bring novel medicines to patients, it will be useful to stratify patients by the likelihood of developing subsequent muscle loss and circulating miR-181a could be useful for this purpose by reducing the size of a proof-of-concept study.
The Kolmogorov complexity C of a proof ψ can be defined as the size of the shortest proof ψ′ that can be obtained by cut-introduction from ψ (and, conversely, such that ψ can be reconstructed from ψ′ by cut-elimination).
And the size of the deal represents proof, if proof was needed, that mobile software innovation will drive real value in the years ahead.
Here, too, ideology intervenes, because liberals point to the benefits of reducing class size as proof that more money should be spent on schools, while conservatives who think that money is not the answer point to California's experience.
This project exceeded previous mathematical endeavours by its sheer size, in both length of proof and number of researchers.
Lewens makes a convincing case that there can be no such thing as a one-size-fits-all standard of proof for scientific findings.
We see the bustle of the throng and the size of the queue as proof that's all well in "the arts", as we disrespectfully call them.
It's possible that the storm drove some into Trinity Church, but the size of the audience was proof of a genuine appetite for Britten's music, even during the lunch hour.
