Second, the formal proofs are carried out in a "template" form, which gives us a reusable proof that may be instantiated for the two example protocols, as well as for other protocols with the same arrangement of messages.
Yet the breadth of Triplett would force defendants in repetitious suits on a patent invalidated on one of these grounds to repeat proof that may be simple of understanding yet expensive to produce.
Specifically, it will always contain a sub-language and sub-theory that can be used to say a great deal of things about the syntax of the object language; and it will always contain all the mathematics (both concepts and methods of proof) that "may be taken from any sufficiently developed system of mathematical logic" (Tarski 1983b, p. 211).
Since identification of the interactions of the 8 subunits of ATP synthase is the only example we report, we have been careful to talk about this as a proof of principle that may be generalized with further work (changes in Abstract, Figure 5, Materials and Methods, Supplementary file 5, Supplementary data).
There is an inherent hint of bias, the authors note, in the notion of fitting one's data to a hypothesis: It's always tempting to report or emphasize only data that fits your hypothesis or, conversely, look at the data you've produced and then tailor the "hypothesis" accordingly (thereby presenting a "proof" that may never be independently and rigorously tested experimentally).
"After a thorough investigation of interference with the operation of the Moreland Commission and its premature closing, this office has concluded that, absent any additional proof that may develop, there is insufficient evidence to prove a federal crime," Bharara said.
The absence of a lagoon from parts of the coasts of both Tahiti and Moorea should alone prove that barrier reefs can no longer be taken as an index of subsidence without independent proof from the adjacent land, and the completion of the proof that barriers may be formed from broad reefs of the fringing type should be decisive.
Wilton Manors is to urban revitalization what "Will and Grace" was to prime-time television -- proof that people may be more accepting of gays than polls suggest.
The decision represents a big victory for the video-gaming industry, and is viewed as more proof that this may be the most business-friendly Supreme Court in decades.
Government officials counter-claim, without offering proof, that he may be trying to rig the results with Venezuelan help.If Mr García is still ahead, it is partly because he is the more skilful campaigner.
You can vote online as to whether or not the bombardier is "proof that evolution may be false" (at the time of writing the site is registering NO: 57.33%; YES 42.67%: cast your vote on http://www.youdebate.com/ DEBATES/creation_bombardier_ beetle.HTM survey) Lay people have always been sceptical of evolution's account of the origin of complex organs.
