Evolution of Algebraic Terms 1: Term to Term Operation Continuity

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  author =       "David M. Clark",
  title =        "Evolution of Algebraic Terms 1: Term to Term Operation
  journal =      "International Journal of Algebra and Computation",
  year =         "2013",
  volume =       "23",
  number =       "05",
  pages =        "1175--1205",
  month =        aug,
  keywords =     "genetic algorithms, genetic programming, Evolutionary
                 computation, term generation, term operation, primal
  ISSN =         "0218-1967",
  URL =          "http://www.worldscientific.com/doi/abs/10.1142/S0218196713500227",
  eprint =       "http://www.worldscientific.com/doi/pdf/10.1142/S0218196713500227",
  DOI =          "doi:10.1142/S0218196713500227",
  URL =          "http://groups.yahoo.com/neo/groups/genetic_programming/conversations/messages/6284",
  abstract =     "This study was inspired by recent successful
                 applications of evolutionary computation to the problem
                 of finding terms to represent arbitrarily given
                 operations on a primal groupoid. Evolution requires
                 that small changes in a term result in small changes in
                 the associated term operation. We prove a theorem
                 giving two readily testable conditions under which a
                 groupoid must have this continuity property, and offer
                 evidence that most primal groupoids satisfy these

Genetic Programming entries for David M Clark