~/talk

How to Cheat at “Who Wants to Be a Millionaire?” (and Show Non-Hardness of GapMCSP)

slides:none on file

Shows a concrete combinatorial scheme: split p pages into blocks of r/2, assign one friend to each pair-of-chapters construction (friend reads union of two blocks), and answer by unanimity-check combining over all friends who touched a block; with about O((p/r)^2) helpers this always outputs the correct multiple‑choice answer. Translates to complexity: unwind an NC0 reduction to view output bits as pages, use random restrictions to handle AC0, and derive unconditional non‑hardness results for GapMKTP/MKTP and a parity‑separation corollary.

AI-written summary · about

  1. 0:00Introduction and motivation
  2. 1:16The game show model
  3. 4:02Defining the strategy
  4. 9:10Constructing the set family
  5. 12:43The combined algorithm
  6. 16:04Meta-complexity applications
  7. 18:04Proof sketch
  8. 20:34Closing and acknowledgments
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