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a touurnament is a competition of n players where every player plays one game against every other player, each resulting in a win or a loss

Math Apr 13, 2022

a touurnament is a competition of n players where every player plays one game against every other player, each resulting in a win or a loss. a touurnament champion is one where , for each other player, either won her game against that player, or won a game against a player who in turn won his game against that player (or both).. Define a RPS tournament as one where the following FOL statement is true: ∀x. ∀y. (x beat y → ?z.(y beat z ∧ z beat x) )

 

1) Draw an RPS tournament with 5 players

 

2) Prove that a tournament T is an RPS tournament if and only if every player in T is a tournament champion

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