Towards a Model of Puzznic (2310.01503v1)
Abstract: We report on progress in modelling and solving Puzznic, a video game requiring the player to plan sequences of moves to clear a grid by matching blocks. We focus here on levels with no moving blocks. We compare a planning approach and three constraint programming approaches on a small set of benchmark instances. The planning approach is at present superior to the constraint programming approaches, but we outline proposals for improving the constraint models.
- Conjure: Automatic generation of constraint models from problem specifications. Artificial Intelligence, 310:103751, 2022. doi:10.1016/j.artint.2022.103751.
- Constraint satisfaction techniques in planning and scheduling. Journal of Intelligent Manufacturing, 21(1):5–15, 2010.
- Reformulating constraint models for classical planning. In Proceedings of the Twenty-First International Florida Artificial Intelligence Research Society Conference, May 15-17, 2008, pages 525–530. AAAI Press, 2008.
- CaDiCaL, Kissat, Paracooba, Plingeling and Treengeling entering the SAT Competition 2020. In Proceedings of SAT Competition 2020 – Solver and Benchmark Descriptions, pages 50–53, 2020. URL: http://hdl.handle.net/10138/318754.
- Michael C. Chavrimootoo. Defying gravity: The complexity of the Hanano puzzle. arXiv, 2022. doi:10.48550/arXiv.2205.03400.
- Dominance breaking constraints. Constraints, 20(2):155–182, 2015. doi:10.1007/s10601-014-9173-7.
- Plotting: a planning problem with complex transitions. In 28th International Conference on Principles and Practice of Constraint Programming (CP 2022), pages 22:1–22:17, 2022. doi:10.4230/LIPIcs.CP.2022.22.
- Erich Friedman. The game of cubic is NP-complete. 34th Annual Florida MAA Section Meeting, 2001.
- Search in the patience game ‘black hole’. AI Communications, 20(3):211–226, 2007. https://content.iospress.com/articles/ai-communications/aic405.
- Automated Planning: theory and practice. Elsevier, 2004.
- An Introduction to the Planning Domain Definition Language. Synthesis Lectures on Artificial Intelligence and Machine Learning. Springer, 2019. doi:10.2200/S00900ED2V01Y201902AIM042.
- Malte Helmert. The Fast Downward planning system. Journal of Artificial Intelligence Research, 26:191–246, 2006. doi:10.1613/jair.1705.
- Modelling and solving English Peg Solitaire. Comput. Oper. Res., 33(10):2935–2959, 2006. doi:10.1016/j.cor.2005.01.018.
- Hanano puzzle is NP-hard. Information Processing Letters, 145:6–10, 2019. doi:10.1016/j.ipl.2019.01.003.
- Peter Nightingale. Savile Row manual, 2021. doi:10.48550/arXiv.2201.03472.
- Automatically improving constraint models in Savile Row. Artificial Intelligence, 251:35–61, 2017. doi:10.1016/j.artint.2017.07.001.
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