- author = "David M. Clark",
- title = "Evolution of Algebraic Terms 1: Term to Term Operation Continuity",
- journal = "International Journal of Algebra and Computation",
- year = "2013",
- volume = "23",
- number = "05",
- pages = "1175--1205",
- month = aug,
- keywords = "genetic algorithms, genetic programming, nand, theory, Evolutionary computation, term generation, term operation, primal algebras",
- ISSN = "0218-1967",
- publisher = "World Scientific Publishing Company",
-
URL = "
http://www.worldscientific.com/doi/abs/10.1142/S0218196713500227",
- eprint = "http://www.worldscientific.com/doi/pdf/10.1142/S0218196713500227",
-
DOI = "
10.1142/S0218196713500227",
-
URL = "http://groups.yahoo.com/neo/groups/genetic_programming/conversations/messages/6284",
- size = "31 pages",
- 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 conditions.",
-
notes = "Mathematics Subject Classification 2010: 08A40, 68Q05,
92D15
See also \cite{Evolution_Algebraic_Terrms_2} \cite{Evolution_Algebraic_Terrms_3}
Mathematics Department State University of New York at New Paltz FOB E1, New Paltz, New York 12561, USA",
