The Computational Complexity of Angry Birds and Similar Physics-Simulation Games

Matthew Caleb Stephenson, Jochen Renz, Xiaoyu Ge · Proceedings of the AAAI Conference on Artificial Intelligence and Interactive Digital Entertainment · 2017

This paper presents several proofs for the computational complexity of the popular physics-based puzzle game AngryBirds. By using a combination of different gadgets within this game’s environment, we can demonstrate that the problem of solving Angry Birds levels is NP-hard. Proof of NP-hardness is by reduction from a known NP-complete problem, in this case 3-SAT. In addition, we are able to show that the original version of Angry Birds is within NP and therefore alsoNP-complete. These proofs can be extended to other physics-based games with similar mechanics.

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