On Evolutionary Algorithms for Boolean Functions Minimization

被引:0
|
作者
Ilyin, B. [1 ]
Kazimirov, A. S. [1 ]
Panteleyev, V. I. [1 ]
Reimerov, S. Yu. [1 ]
Semicheva, N. [1 ]
机构
[1] Irkutsk Statue Univ, Inst Math Econ & Informat, Irkutsk, Russia
关键词
evolutionary algorithms; genetic algorithms; Boolean functions; ESOP; SEARCH;
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 concerns evolutionary algorithms for minimization exclusive-or sum-of-products representations of Boolean functions. These representations are used in logic synthesis for certain class of circuits. Minimization is based on a decomposition for Boolean functions with parameter function. Selection of this function is a search task which can be solved with evolutionary algorithms. Algorithms for obtaining approximately minimal formulas for Boolean functions of up to 8 variables are proposed.
引用
收藏
页码:400 / 402
页数:3
相关论文
共 50 条
  • [21] Evolutionary Design of Boolean Functions
    WANG Zhang-yi 1
    2. School of Software
    Wuhan University Journal of Natural Sciences, 2005, (01) : 179 - 182
  • [22] Evolutionary design of Boolean functions
    Cao, Ming
    Huang, Yin-Feng
    Hu, Zheng-Ming
    Yang, Yi-Xian
    Tongxin Xuebao/Journal on Communications, 2007, 28 (SUPPL.): : 70 - 73
  • [23] Running time analysis of multiobjective evolutionary algorithms on Pseudo-Boolean functions
    Laumanns, M
    Thiele, L
    Zitzler, E
    IEEE TRANSACTIONS ON EVOLUTIONARY COMPUTATION, 2004, 8 (02) : 170 - 182
  • [24] ON SOME CHARACTERISTICS OF BOOLEAN FUNCTION MINIMIZATION ALGORITHMS
    AN, NK
    DOKLADY AKADEMII NAUK SSSR, 1982, 267 (05): : 1058 - 1062
  • [25] STATISTICAL COMPLEXITY OF ALGORITHMS FOR BOOLEAN FUNCTION MINIMIZATION
    MILETO, F
    PUTZOLU, G
    JOURNAL OF THE ACM, 1965, 12 (03) : 364 - &
  • [26] GENERALIZED APPROACH TO MINIMIZATION OF BOOLEAN FUNCTIONS.
    Shvartsman, M.I.
    1600, (13):
  • [27] ON THE MINIMIZATION OF RANDOM BOOLEAN FUNCTIONS .1.
    SKOVIERA, M
    COMPUTERS AND ARTIFICIAL INTELLIGENCE, 1986, 5 (04): : 321 - 334
  • [28] Boolean functions minimization by using a spectrum of indexes
    Luzin, S.Yu.
    Avtomatika i Vychislitel'naya Tekhnika, 2001, (03): : 56 - 64
  • [29] MINIMIZATION OF BOOLEAN FUNCTIONS IN BASIS OR-NOT (AND-NOT)
    PUPYREV, EI
    AUTOMATION AND REMOTE CONTROL, 1972, 33 (03) : 507 - &
  • [30] On the Minimization of Boolean Functions for Additive Complexity Measures
    Chukhrov I.P.
    Journal of Applied and Industrial Mathematics, 2019, 13 (03) : 418 - 435