How to Read Theory Papers

1 Read In Passes

Do not try to understand every line on first contact.

Use a three-pass habit:

  1. Pass one: problem, claim, assumptions, contribution type
  2. Pass two: theorem map, notation, proof skeleton, experiments
  3. Pass three: technical details, hidden dependencies, critique

2 What To Extract Early

Before diving into proofs, write down:

  • the main theorem
  • every assumption
  • where the math tools seem to come from
  • which experiments or examples are meant to support the story

3 The Best Sanity Check

If you cannot explain the paper’s main claim in five plain sentences, you are still collecting symbols rather than understanding the paper.

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