What was already known
Strategy stealing proves a nontrivial rectangular bar is a first-player win without identifying the moves. Earlier bars with two winning moves motivated Ekhad and Zeilberger’s challenge to find at least three.
AI involvement
Claude supplied game reductions and search code. Jaideep Sai Padhi chose the challenge, ran the computations, designed independent controls and rejected faulty patterns.
Claude supplied the game-theoretic reductions and search code while Padhi directed and validated the search.
Importance
Answers the stated finite Chomp challenge with a bar having three winning openings.
Limitations
The claim is a finite game-state result. The paper’s wider quasi-periodicity patterns remain conjectural; the exhaustive computation and independent implementation are source-reported.
Technical verification
The finite claim is exhaustively checked by exact retrograde game-state computation, a second implementation with different iteration order, small brute-force controls and previously published double-move bars. The computation was not rerun here.
Formal checking
Exact exhaustive P/N dynamic programming with an independent implementation and small-game controls
- Checker
- Jaideep Sai Padhi, paper author, executing model-written code
- Scope
- Exactly three winning opening moves for the 10×42 Chomp bar
- Basis
- Reported by the linked checker
Checking a formal statement does not establish that it matches the original problem.
Human understanding
Padhi designed the verification protocol and could identify false patterns, but an independent human explanation of the complete game-state result is not documented; Few is the evidence default.
Correction and publication history
First report of the three-opening Chomp computation.
Read this published revision