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itcs-experiments

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Use when deciding what counts as evidence for an ITCS theory claim — proofs as the primary evidence, worked examples and separations that make a model concrete, and the rare, well-scoped illustrative computation or simulation — and how to keep any computational content checkable and subordinate to the mathematics.

ITCS-Skills/skills/itcs-experiments/SKILL.md

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# ITCS Experiments

ITCS is a **pure-theory** venue: the primary — usually the only — evidence for a claim is a
**proof**. There is no experiments requirement, no benchmark, no leaderboard, and no reviewer
expectation of an empirical section. Bringing an ML-conference or SE reflex here (a table of
numbers "showing" the method works) misreads the venue: at ITCS a theorem is proved, not
measured. This skill is about matching **evidence to a theory claim** and about the *rare* case
where a small computation genuinely helps.

## Proofs are the evidence

- **Every central claim is settled by a complete proof**, not by examples. A pattern that "holds
  in all cases we tried" is a conjecture, not a theorem — label it as such and prove or drop it.
- **Match the claim shape to the argument shape:** an upper bound needs a construction + analysis;
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