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OP-10354Status unassessedMathematics · general

Are Computer-assisted proofs real proofs?

Computational mathematics in computer assisted proofs · AIMPL workshop record

Workshop record · status unassessedAs of 2026-09-10 source snapshot; not a current-status certificationSource & evidence ↓
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Problem statement

Are computer-assisted proofs always real proofs when proprietary software and/or hardware is involved that is not accessible to all readers/reviewers?

Lean 4

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Background

Section context

Here we collect general questions about aspects of computer-assisted proofs

Progress & source assessment

Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.

Status note in the source

Follow-up comments/questions: Is it preferable to use pseudo-code rather than a programming language? Can everyone access hardware to perform the computations involved?-Are such proofs reproducable? Does this have impacts on the review process? Does one have to submit the entire virtual machine? How should one disentangle the human and computer-assisted part? Should a computer-assisted part be computer-verifiable?

References
  1. [1]Computational mathematics in computer assisted proofs · Original question link
  2. [2]AIMPL source bibliography link
  3. [3]AIMPL text license · CC BY-SA 3.0 linkAIM Problem Lists (AIMPL), original contributors; CC BY-SA 3.0. Adaptation: structural TeX converted to Markdown, documented source macros expanded, and source bibliography links added. Mathematical wording retained. These adapted source texts remain under CC BY-SA 3.0.

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Discussion

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