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- research-articleJuly 2024
NP-Completeness and Physical Zero-Knowledge Proofs for Sumplete, a Puzzle Generated by ChatGPT
New Generation Computing (NEWG), Volume 42, Issue 3Pages 429–448https://doi.org/10.1007/s00354-024-00267-0AbstractSumplete is a logic puzzle generated by ChatGPT in March 2023. The puzzle consists of a rectangular grid, with each cell containing an integer. Each row and column also has an integer called target value assigned to it. The objective of this ...
- research-articleJune 2024
Printing Protocol: Physical ZKPs for Decomposition Puzzles
New Generation Computing (NEWG), Volume 42, Issue 3Pages 331–343https://doi.org/10.1007/s00354-024-00266-1AbstractDecomposition puzzles are pencil-and-paper logic puzzles that involve partitioning a rectangular grid into several regions to satisfy certain rules. In this paper, we construct a generic card-based protocol called printing protocol, which can be ...
- research-articleAugust 2023
- research-articleJune 2023
An improved physical ZKP for nonogram and nonogram color
Journal of Combinatorial Optimization (SPJCO), Volume 45, Issue 5https://doi.org/10.1007/s10878-023-01050-5AbstractNonogram is a pencil puzzle consisting of a rectangular white grid where the player has to paint some cells black according to given constraints. Chien and Hon (Proceedings of the 5th international conference on fun with algorithms (FUN), 2010) ...
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- research-articleNovember 2022
A Posthumous Contribution by Larry Wos: Excerpts from an Unpublished Column
Journal of Automated Reasoning (JAUR), Volume 66, Issue 4Pages 575–584https://doi.org/10.1007/s10817-022-09617-3AbstractShortly before Larry Wos passed away, he sent a manuscript for discussion to Sophie Tourret, the editor of the AAR newsletter. We present excerpts from this final manuscript, put it in its historic context and explain its relevance for today’s ...
- ArticleJanuary 2023
Physical ZKP for Makaro Using a Standard Deck of Cards
Theory and Applications of Models of ComputationPages 43–54https://doi.org/10.1007/978-3-031-20350-3_5AbstractMakaro is a logic puzzle with an objective to fill numbers into a rectangular grid to satisfy certain conditions. In 2018, Bultel et al. developed a physical zero-knowledge proof (ZKP) protocol for Makaro using a deck of cards, which allows a ...
- research-articleApril 2022
Card-Based ZKP for Connectivity: Applications to Nurikabe, Hitori, and Heyawake
New Generation Computing (NEWG), Volume 40, Issue 1Pages 149–171https://doi.org/10.1007/s00354-022-00155-5AbstractDuring the last years, several card-based Zero-Knowledge Proof (ZKP) protocols for Nikoli’s puzzles have been designed. Although there are relatively simple card-based ZKP protocols for a number of puzzles, such as Sudoku and Kakuro, some puzzles ...
- ArticleDecember 2021
An Improved Physical ZKP for Nonogram
Combinatorial Optimization and ApplicationsPages 262–272https://doi.org/10.1007/978-3-030-92681-6_22AbstractNonogram is a logic puzzle consisting of a rectangular grid with an objective to color every cell black or white such that the lengths of blocks of consecutive black cells in each row and column are equal to the given numbers. In 2010, Chien and ...
- research-articleDecember 2021
Physical zero-knowledge proof for Ripple Effect
Theoretical Computer Science (TCSC), Volume 895, Issue CPages 115–123https://doi.org/10.1016/j.tcs.2021.09.034AbstractRipple Effect is a logic puzzle where the player has to fill numbers into empty cells in a rectangular grid. The grid is divided into rooms, and each room must contain consecutive integers starting from 1 to its size. Also, if two cells in the ...
- ArticleOctober 2021
- ArticleOctober 2021
Physical ZKP for Connected Spanning Subgraph: Applications to Bridges Puzzle and Other Problems
Unconventional Computation and Natural ComputationPages 149–163https://doi.org/10.1007/978-3-030-87993-8_10AbstractAn undirected graph G is known to both the prover P and the verifier V, but only P knows a subgraph H of G. Without revealing any information about H, P wants to convince V that H is a connected spanning subgraph of G, i.e. H is connected and ...
- research-articleOctober 2021
On Using Monte-Carlo Tree Search to Solve Puzzles
- Mohammad Sina Kiarostami,
- Mohammadreza Daneshvaramoli,
- Saleh Khalaj Monfared,
- Aku Visuri,
- Helia Karisani,
- Simo Hosio,
- Hamed Khashehchi,
- Ehsan Futuhi,
- Dara Rahmati,
- Saeid Gorgin
ICCTA '21: Proceedings of the 2021 7th International Conference on Computer Technology ApplicationsPages 18–26https://doi.org/10.1145/3477911.3477915Solving puzzles has become increasingly important in artificial intelligence research since the solutions could be directly applied to real-world or general problems such as pathfinding, path planning, and exploration problems. Selecting the best ...
- ArticleJuly 2021
Interactive Physical ZKP for Connectivity: Applications to Nurikabe and Hitori
AbstractDuring the last years, many Physical Zero-knowledge Proof (ZKP) protocols for Nikoli’s puzzles have been designed. In this paper, we propose two ZKP protocols for the two Nikoli’s puzzles called Nurikabe and Hitori. These two puzzles have some ...
- research-articleApril 2021
Physical Zero-Knowledge Proof for Numberlink Puzzle and k Vertex-Disjoint Paths Problem
New Generation Computing (NEWG), Volume 39, Issue 1Pages 3–17https://doi.org/10.1007/s00354-020-00114-yAbstractNumberlink is a logic puzzle with an objective to connect all pairs of cells with the same number by non-crossing paths in a rectangular grid. In this paper, we propose a physical protocol of zero-knowledge proof for Numberlink using a deck of ...
- ArticleFebruary 2021
Physical Zero-Knowledge Proof for Ripple Effect
AbstractRipple Effect is a logic puzzle with an objective to fill numbers into a rectangular grid divided into rooms. Each room must contain consecutive integers starting from 1 to its size. Also, if two cells in the same row or column have the same ...
- ArticleDecember 2019
An Empirical Analysis of Genetic Algorithm with Different Mutation and Crossover Operators for Solving Sudoku
Pattern Recognition and Machine IntelligencePages 356–364https://doi.org/10.1007/978-3-030-34869-4_39AbstractProspective optimization tools such as Evolutionary Algorithms (EAs), are widely used to tackle optimization problems in the real world. Genetic Algorithm (GA), one of the instances of EAs, has potential research avenues of testing its ...
- ArticleAugust 2019
Improving Human Players’ T-Spin Skills in Tetris with Procedural Problem Generation
AbstractResearchers in the field of computer games interest in creating not only strong game-playing programs, but also programs that can entertain or teach human players. One of the branches is procedural content generation, aiming to generate game ...
- ArticleJuly 2019
Interactive Physical Zero-Knowledge Proof for Norinori
AbstractNorinori is a logic game similar to Sudoku. In Norinori, a grid of cells has to be filled with either black or white cells so that the given areas contain exactly two black cells, and every black cell shares an edge with exactly one other black ...