Construction of Reversible Cellular Automata by Amalgamations and Permutations of States

被引:0
作者
Tuoh Mora, Juan Carlos Seck [1 ]
Gonzalez Hernandez, Manuel [1 ]
McIntosh, Harold V. [2 ]
Chapa Vergara, Sergio V. [3 ]
机构
[1] Univ Autonoma Estado Hidalgo, Ctr Invest Avanzada Ingn Ind, Pachuca 42184, Hidalgo, Mexico
[2] Benemerita Univ Autonoma Puebla, Ctr Calculo, Puebla, Mexico
[3] CINVESTAV IPN, Dept Comp, Mexico City 04200, DF, Mexico
关键词
Reversibility; amalgamations; permutations; definiteness; Welch indexes;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper explains the properties of amalgamations and permutations of states in the matrix representation of reversible one-dimensional cellular automata where both evolution rules have neighborhood sire 2 and a Welch index equal to 1. These properties are later used for constructing reversible automata and defining a compact nomenclature to identify them. Some examples are provided.
引用
收藏
页码:311 / 322
页数:12
相关论文
共 50 条
  • [41] Propositional Logic and Cellular Automata on Monoids
    Ishida, Toshikazu
    Inokuchi, Shuichi
    Kawahara, Yasuo
    JOURNAL OF CELLULAR AUTOMATA, 2017, 12 (1-2) : 27 - 45
  • [42] Dilatability to Quantum Linear Cellular Automata
    Popovici, Adriana
    Popovici, Dan
    12TH INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND NUMERIC ALGORITHMS FOR SCIENTIFIC COMPUTING (SYNASC 2010), 2011, : 355 - 361
  • [43] Cellular Automata as a Model of Physical Systems
    Cheung, Donny
    Perez-Delgado, Carlos A.
    JOURNAL OF CELLULAR AUTOMATA, 2010, 5 (06) : 469 - 480
  • [44] On time-symmetry in cellular automata
    Gajardo, Anahi
    Kari, Jarkko
    Moreira, Andres
    JOURNAL OF COMPUTER AND SYSTEM SCIENCES, 2012, 78 (04) : 1115 - 1126
  • [45] REVERSIBILITY OF A SYMMETRIC LINEAR CELLULAR AUTOMATA
    Martin Del Rey, A.
    Rodriguez Sanchez, G.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2009, 20 (07): : 1081 - 1086
  • [46] A general construction of min-wise independent permutations
    Takei, Y
    Itoh, T
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2000, E83A (04) : 646 - 655
  • [47] Near-rings of Cellular Automata
    Boykett, Tim
    JOURNAL OF CELLULAR AUTOMATA, 2024, 18 (01) : 1 - 16
  • [48] A cellular automata based secured reversible data hiding scheme for dual images using bit-reversal permutation technique
    Datta, Kankana
    Jana, Biswapati
    Chakraborty, Mamata Dalui
    COMPUTER STANDARDS & INTERFACES, 2025, 92
  • [49] Cellular automata between sofic tree shifts
    Ceccherini-Silberstein, Tullio
    Coornaert, Michel
    Fiorenzi, Francesca
    Sunic, Zoran
    THEORETICAL COMPUTER SCIENCE, 2013, 506 : 79 - 101
  • [50] Generation of Pseudo-Isomorphic Cellular Automata
    Bhattacharjee, Kamalika
    Dittakavi, Tarun
    CELLULAR AUTOMATA AND DISCRETE COMPLEX SYSTEMS, AUTOMATA 2024, 2024, 14782 : 77 - 94