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A Comparison of Abstraction Heuristics for Rubik's Cube
University of Basel, Switzerland.
University of Basel, Switzerland; Saarland University, Saarland Informatics Campus, Saarbrücken, Germany.
Linköping University, Department of Computer and Information Science, Artificial Intelligence and Integrated Computer Systems. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-2498-8020
University of Basel, Switzerland.
2022 (English)Conference paper, Published paper (Refereed)
Abstract [en]

Since its invention in 1974, the Rubik’s Cube puzzle fasci-nates people of all ages. Its rules are simple: the player getsa scrambled cube and rotates the six faces until each facecontains only stickers of one color. Nevertheless, finding ashort sequence of rotations to solve the cube is hard. Wepresent the first model of Rubik’s Cube for general problemsolvers. To obtain a concise model, we require conditional ef-fects. Furthermore, we extend counterexample-guided Carte-sian abstraction refinement (CEGAR) to support factored ef-fect tasks, a class of planning tasks with a specific kind ofconditional effects which includes Rubik’s Cube. Finally, weevaluate how newer types of abstraction heuristics compareagainst pattern database (PDB) heuristics, the state-of-the-artfor solving Rubik’s Cube. We find that PDBs still outper-form the more general Cartesian and merge-and-shrink ab-stractions. However, in contrast to PDBs, Cartesian abstrac-tions yield perfect heuristics up to a certain problem difficulty.These findings raise interesting questions for future research.

Place, publisher, year, edition, pages
2022.
National Category
Computer Sciences
Identifiers
URN: urn:nbn:se:liu:diva-208334OAI: oai:DiVA.org:liu-208334DiVA, id: diva2:1904164
Conference
ICAPS 2022 Workshop on Heuristics and Search for Domain-independent Planning (HSDIP)
Available from: 2024-10-08 Created: 2024-10-08 Last updated: 2024-10-17Bibliographically approved

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Seipp, Jendrik

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf