The tool querying procedure was validated and once the reliability of the tool was proofed finding solutions for new problems based on past experience becomes less time consuming and much more efficient than a classical literature survey.
At the core of our proof is finding specially designed Hamiltonian cycles in 2-dimensional and heavily pruned 3-dimensional tori, irrespective of the actual networks G and H we happen to be working with.
Geometry has been a target of early automated proof-finding efforts.
The former helps them guide the proof-finding effort while the latter allows them to close proof gaps.
So the burden of proof is not on proving the death penalty doesn't deter, the burden of proof is on finding that the death penalty does deter.
It's like finding proof of the Loch Ness monster".
Proof would require finding an AIDS-like virus in the polio vaccine samples.
But it can also be fanciful: finding proof of the existence of the queen of Sheba or checking the accuracy of Asia's fortunetellers.
It was true, Chief Justice Roberts wrote, that finding proof that the investors had relied on the misstatements was part of the class certification basis.
Seven months later in Harper's magazine she has presented her argument to support the allegation, but finding proof in it was like searching for Robin Hood's barn, which no one ever found.
