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arXiv · 2609.33839

Riftbound is Turing Complete

Nathan Dalaklis·Beckett Fields
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Abstract

Riftbound: League of Legends Trading Card Game is a trading card game about capturing and holding locations in a king-of-the-hill style contest. Originally released in China in August of 2025, and later released in the United States in October of 2025, the game has been well received for its depth and complexity. In this paper we demonstrate a facet of this complexity by providing sequences of valid game states which construct Universal Turing machines within the game. Each of these machines are constructed with tournament legal decks at the time of writing and strategies assigned are directed by the game state. We also show that given an appropriate board state the machine may be constructed and the computation may be performed in one game turn.

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Nathan Dalaklis, Beckett Fields. 2026-09-27. Riftbound is Turing Complete. https://arxiv.org/abs/2609.33839

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