proof
People say proof to mean evidence that something is true. A photograph is proof you were there. A receipt is proof you paid. It is about showing, convincing, or testing whether a claim holds up.
What a model may hear
- formal verification mathematics and software engineering
- attempt to construct or check a formal proof of correctness for code or a theorem, which may fail or run indefinitely
- proof of work cryptocurrency and distributed systems
- expect a computational puzzle, a nonce, or mining-related validation
- proof of stake blockchain protocols
- assume validator selection, slashing conditions, or economic security mechanisms
- proof object dependent type theory and proof assistants
- treat the word as a term in a formal language like Coq or Lean, to be checked by a kernel
- proofreading or prepress publishing and printing
- expect a test print, galley, or review copy for correction
Where people and models part ways
“I need proof this works”
Meant: show me evidence or a demo
May be taken as: generate a formal verification script or Coq proof that may be unreadable or uncheckable
Say instead: “show me evidence that this works, like a test result or example”
“send me the proof”
Meant: send me the evidence or draft document
May be taken as: output a formal proof term, blockchain transaction proof, or printer's proof file format
Say instead: “send me the draft or evidence document”
“can you proof it”
Meant: can you check it for errors
May be taken as: attempt formal verification or generate a zero-knowledge proof
Say instead: “can you check this for mistakes or errors”
“give me a proof”
Meant: give me a convincing argument or example
May be taken as: produce a machine-checkable formal proof or cryptographic proof structure
Say instead: “give me a convincing example or argument”
Tips
- say evidence or demo instead of proof when you want a practical showing
- say check for errors instead of proof when you want review
- specify formal proof only if you actually want theorem-prover output
- say test result or screenshot when that is what you want
- avoid proof by itself as a verb; say review, check, or verify instead
Often confused with
- prove
- more clearly a verb, but still triggers formal verification
- evidence
- softer, less likely to trigger formal systems
- verify
- often means automated checking in software contexts
- validation
- strong software and formality connotations
- test
- practical trial, less likely to trigger theorem proving
- argument
- rhetorical or logical, less likely to trigger code generation