Corpus ID: 2978262

Phutball Endgames are Hard

  title={Phutball Endgames are Hard},
  author={E. Demaine and Martin L. Demaine and D. Eppstein},
  • E. Demaine, Martin L. Demaine, D. Eppstein
  • Published 2000
  • Mathematics, Computer Science
  • ArXiv
  • We show that, in John Conway’s board game Phutball (or Philosopher’s Football), it is NPcomplete to determine whether the current player has a move that immediately wins the game. In contrast, the similar problems of determining whether there is an immediately winning move in checkers, or a move that kings a man, are both solvable in polynomial time. 
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