completion of proof

USAGE SUMMARY

The phrase "completion of proof" is correct and usable in written English.
It can be used in contexts related to mathematics, logic, or legal documents where proof or verification is required. Example: "The completion of proof is essential before we can finalize the contract."

✓ Grammatically correct

News & Media

Science

Human-verified examples from authoritative sources

Exact Expressions

3 human-written examples

"Completion of Proof" (Truth Revolution), released last year, further establishes their link to the hard-bop tradition, with help from established mentors like the trumpeter Brian Lynch.

The New York Times - Arts

(Chinen) The Curtis Brothers: Completion of Proof (Tuesday and Wednesday) Zaccai Curtis, a pianist, and Luques Curtis, a bassist, have made themselves valuable rhythm-section workhorses in recent years, especially (but not exclusively) in the region of Latin jazz.

The New York Times - Arts

On the other hand, they played jazz with musicians associated with Art Blakey's tradition, the deepest academy of jazz after bebop, and "Completion of Proof," their new record (Truth Revolution), represents the combination.

The New York Times - Arts

Human-verified similar examples from authoritative sources

Similar Expressions

55 human-written examples

Experience has shown that the analysis of counterexamples or failed proof attempts often holds the key to the completion of proofs and for the correction of a faulty model.

Electronic Notes in Theoretical Computer Science

Completion of the proof of Theorem 1.2.

Boundary Value Problems

The completion of the proof of Case 1 rests on the following two claims: let (epsilon<r<R_0).

Bulletin of Mathematical Sciences

The completion of the proof of Theorem 2.5 by using Schur, Hardy-Littlewood-Pólya and Karamata's theorem.

Journal of Inequalities and Applications

which consequently leads to the completion of the proof, that is, specified in (2.8) is the unique solution of the problems (2.6) and (2.7).

Advances in Difference Equations

which consequently leads to the completion of the proof, that is, specified in (2.2) is the unique solution of the problems (2.1).

Advances in Difference Equations

Completion of the proof for Theorem 1.1: For some fixed (j>max_{tin[0,kappa]}f(t)), we adopt some ideas in [30] to construct the multi-bump solutions of the truncation problem (2.4).

Advances in Difference Equations

A dual aspect of search is to try to look for a previously proved result that could be useful in the completion of the current proof.

SEP

Expert writing Tips

Best practice

When writing about formal subjects, using "completion of proof" adds a layer of precision and emphasizes the importance of finalizing verification steps. Ensure that the context clearly indicates what 'proof' refers to, whether it's a mathematical theorem, a legal argument, or a scientific experiment.

Common error

Avoid using "completion of proof" in casual conversation or informal writing where simpler terms like "proof" or "confirmation" would suffice. This phrase is best reserved for situations where precision and formality are necessary.

Linguistic Context

The phrase "completion of proof" functions as a noun phrase, acting as the subject or object in a sentence. It describes the state of finalizing or concluding a verification or validation process. Ludwig provides examples in news and scientific publications showcasing its appropriate use in formal contexts.

Expression frequency: Rare

Frequent in

Science

60%

News & Media

30%

Formal & Business

10%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "completion of proof" is a grammatically correct noun phrase primarily used in formal and scientific contexts to indicate the successful finalization of a verification or validation process. Ludwig's analysis of example sentences reveals its presence in news media and scientific publications. While not overly common, its usage is precise and emphasizes the importance of finalizing verification steps. According to Ludwig AI, the phrase is valid and usable, making it ideal for scenarios requiring formality and accuracy. For more informal situations, consider using alternatives such as "proof completion".

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

proof completion

Reorders the words while retaining the core meaning. It's a more concise way to express the concept.

proof finalization

Replaces "completion" with "finalization", emphasizing the act of making the proof final.

proof conclusion

Substitutes "completion" with "conclusion", highlighting the end result of the proof.

derivation completion

Suggests that this phrase could be used in Mathematical context, replaces "proof" with "derivation", focusing on the process of deriving a mathematical result.

verification fulfillment

Emphasizes satisfying the requirements for verification.

validation accomplishment

Highlights achieving successful validation.

establishment of proof

This rephrasing emphasizes the action of making the proof solid or verified.

confirmation of evidence

Shifts the focus to confirming the evidence that supports a claim.

substantiation of claim

This emphasizes the act of providing evidence for a claim.

demonstration of validity

Focuses on showing that something is valid or true.

FAQs

How can I use "completion of proof" in a sentence?

You might say, "The "completion of proof" is essential before we can proceed with the theorem," or "The audit team requires "completion of proof" that all financial records are accurate".

What's a more concise way to say "completion of proof"?

Alternatives include "proof completion" or "proof finalization", which offer a shorter, more direct way to convey the same meaning.

When is it appropriate to use the phrase "completion of proof"?

This phrase is most appropriate in formal, technical, or legal contexts where rigorous verification or validation is required, such as in academic research or legal documentation.

What is the difference between "completion of proof" and "proof"?

"Proof" refers to the evidence or argument itself, while "completion of proof" refers to the act of finalizing or concluding that process. Therefore, "proof" is a static object, while "completion of proof" is an action.