Sentence examples for proof from high-quality English sources.

• 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.

Use proof in a sentence.

• 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.

proof sentence examples

• 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.