> In practice, IL programs direct the agent to construct a pile near the origin that progressively grows taller and wider. That being the case, it can work with a Tetris implementation that defines “row infinity” as a finite row whose index increases as a function of the number of spawns. In such an implementation, the agent emulates a semihard drop with a finite number of soft drops.
For the method described in the paper to work, the infinite version of the game requires a semihard drop operation or something analogous as a legal move. In modern versions of Tetris, the rotation systems permit very unusual operations such as wall climbing or infinite lock delays, not to mention rotating in physically impossible ways. A semihard drop is not a big ask on an infinite playfield. It's within the spirit of the game.
https://www.gwern.net/Turing-complete
Wang tiles are on the list. Are they Turing-complete by themselves? Or do they become Turing-complete only when an agent attempts to arrange them?