| Paper Abstract and Keywords |
| Presentation |
2026-03-04 15:30
Kirby's Dream Land is NP-complete Ryuya Tamayama, Tomoyuki Yamakami (Univ. of Fukui) COMP2025-27 |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
Many well-known video games, such as Super Mario Bros., Donkey Kong, The Legend of Zelda, and Pokémon, have been proven to be computationally hard to solve with respect to achieving their game objectives.
In this paper, we focus on the Kirby series developed and published by Nintendo. Previous work has shown that Kirby Super Star, released in 1996, is PSPACE-complete. However, the first title in the series, Kirby's Dream Land, developed by HAL Laboratory and released for the Game Boy in 1992, does not include the copy ability system that allows Kirby to acquire various abilities.
We prove that Kirby's Dream Land is NP-complete. The hardness proof proceeds by constructing various gadgets that control the essential components of a 3CNF Boolean formula, which is an instance of the NP-complete problem 3SAT. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
Nintendo / Kirby's Dream Land / NP-complete / PSPACE / / / / |
| Reference Info. |
IEICE Tech. Rep., vol. 125, no. 390, COMP2025-27, pp. 38-44, March 2026. |
| Paper # |
COMP2025-27 |
| Date of Issue |
2026-02-25 (COMP) |
| ISSN |
Online edition: ISSN 2432-6380 |
Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
| Download PDF |
COMP2025-27 |
| Conference Information |
| Committee |
COMP |
| Conference Date |
2026-03-04 - 2026-03-04 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Chuo University Korakuen Campus Building 6 4F Room 6402 |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
Theoretical Computer Science, General |
| Paper Information |
| Registration To |
COMP |
| Conference Code |
2026-03-COMP |
| Language |
Japanese |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Kirby's Dream Land is NP-complete |
| Sub Title (in English) |
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| Keyword(1) |
Nintendo |
| Keyword(2) |
Kirby's Dream Land |
| Keyword(3) |
NP-complete |
| Keyword(4) |
PSPACE |
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| 1st Author's Name |
Ryuya Tamayama |
| 1st Author's Affiliation |
University of Fukui (Univ. of Fukui) |
| 2nd Author's Name |
Tomoyuki Yamakami |
| 2nd Author's Affiliation |
University of Fukui Faculty of EngineeringDivision of Engineering Information (Univ. of Fukui) |
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| Speaker |
Author-1 |
| Date Time |
2026-03-04 15:30:00 |
| Presentation Time |
20 minutes |
| Registration for |
COMP |
| Paper # |
COMP2025-27 |
| Volume (vol) |
vol.125 |
| Number (no) |
no.390 |
| Page |
pp.38-44 |
| #Pages |
7 |
| Date of Issue |
2026-02-25 (COMP) |