Learn Prove which information a probability calculation may use, and bound every admissible strategy in a finite reveal process.
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An observation can reveal a relationship that neither coordinate reveals alone.
No. The complete joint law must factor against the pair. Separate marginal product identities do not imply that stronger factorization.
The strategy proof must cover every possible remaining composition.
No. Revealing a skipped token changes the remaining counts. Conditional on the revealed prefix, the remaining order is uniform, but its success fraction must be recomputed.
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Audit joint information and an adaptive reward rule
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Prove what a uniform independent comparison reveals, then distinguish full-pair independence from separate marginal checks.
6 practice tasks.
Compare stopping and revealing through a full-state induction, then identify the information and cost changes that break equal strategy values.
6 practice tasks.