proof-readability

To improve mathematical proof readability, you can perform structural analysis, notation hygiene, and intuition extraction to clarify exposition. This process enhances the logical flow and presentation without altering the underlying mathematical content or correctness.

The best way to add signposting and line-level justification to a math proof is through structural analysis and exposition improvement. This organizes the logical flow, ensuring each step is clearly presented and comprehensible to readers without changing the mathematical accuracy.

Proof readability analysis does not verify mathematical correctness. It assumes correctness has been established by other tools or manual verification, focusing entirely on presentation, notation hygiene, and intuition extraction to make the verified proof more accessible to readers.

You need to use a math proof presentation skill after a proof has been written and verified. It is used when you want to make a correct but complex proof more comprehensible for readers by improving logical flow, signposting, and notation hygiene.

Yes, you can extract intuition from mathematical proofs without changing the original logic. Intuition extraction is a specific feature of readability enhancement that clarifies the underlying concepts and motivation while preserving the established mathematical content and correctness.

A limitation of automated proof analysis and presentation tools is that they cannot establish or guarantee mathematical correctness. They require a manually verified or previously validated proof as input, focusing solely on structural analysis, signposting, and notation hygiene for exposition purposes.