The proof proceeds from two premises: an equivalence schema
A “proof spirit” has to be at least 100 proof.
There's also proof of space, which he explains sees the miner use a specified amount of memory to compute the proof.
standard of proof The standard of proof is either criminal (beyond reasonable doubt) or civil (on a balance of probabilities).
Meta-meta-proof is, in turn, even more demanding than meta-proof.
to these two proofs is a valid proof of B, or reduces to such a proof.
In this sense proof-theoretic semantics is semantics in terms of proof .
The proof seems to refer to the parts of the diagram given with the proof.
Gay-Lussac took 100% ABV to equal 100 proof and 100% water by volume to be 0 proof.
Consequently, meta-proof (proof about proofs) is even more demanding than proof.
To render the notions of proof and validity more systematized, Prawitz has introduced the notion of a canonical proof.
Various so called proof hammers, in the spirit of Isabelle’s Sledgehammer tool, have recently been developed and integrated with modern proof assistants.
In proof-theoretic semantics, proof systems of a suitable form are seen as providing a meaning theory, see the entry proof-theoretic semantics.
This is avoided in the 1908 proof (as it could have been in the 1904 proof) by focusing on the particular ‘chain’ which the proof gives rise to.
Our concern here is thinking through the steps in a proof, either for the first time (a first successful attempt to construct a proof) or following a given proof.
Superfluous thinking may be extremely valuable in facilitating grasp of the proof text and in enabling one to understand the idea underlying the proof steps; but it is not necessary for thinking through the proof.
As on this construal a proof of a general statement is in fact a proof for one peculiar individual, each instantiation of the general statement for another, normal individual needs its own proof (which will proceed along the exact same lines).
These are actually computation rules over proof nets, and the correctness criteria allow to verify easily that any such rule preserves correctness, and as a consequence, the reduction of a proof net still comes from a sequent calculus proof of the same sequent.
So.....make sure you give those investors proof that you are already solving a real and large customer problem; proof that you can commercialise it; proof that this is a big and growing market that you can exploit; and proof that you are the right team to execute on the plan.
What Gödel’s result showed was that there can be no absolute consistency proof of all of mathematics; hence work in proof theory after Gödel concentrated on relative results, both: relative to the system for which a consistency proof was given, and relative to the proof methods used.
- (used in combination or as a suffix) able to withstand
- make or take a proof of, such as a photographic negative, an etching, or typeset
- any factual evidence that helps to establish the truth of something
Example: if you have any proof for what you say, now is the time to produce it
- knead to reach proper lightness
Example: proof dough
- a formal series of statements showing that if one thing is true something else necessarily follows from it
- read for errors
Example: I should proofread my manuscripts
- a measure of alcoholic strength expressed as an integer twice the percentage of alcohol present (by volume)
- (printing) an impression made to check for errors
- activate by mixing with water and sometimes sugar or milk
Example: proof yeast
- make resistant (to harm)
Example: proof the materials against shrinking in the dryer
- a trial photographic print from a negative
- the act of validating; finding or testing the truth of something
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