Evolution of algebraic terms 3: Term continuity and beam algorithms
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 @Article{Evolution_Algebraic_Terrms_3,

author = "David M. Clark and Lee Spector",

title = "Evolution of algebraic terms 3: Term continuity and
beam algorithms",

journal = "International Journal of Algebra and Computation",

year = "2018",

volume = "5",

number = "28",

pages = "759790",

keywords = "genetic algorithms, genetic programming, theory,
Evolutionary computation, term operation,
idemprimality, term continuity, randomizing
algorithms",

ISSN = "02181967",

publisher = "World Scientific Publishing Company",

DOI = "doi:10.1142/S0218196718500352",

size = "32 pages",

abstract = "The first paper in this series introduced the notion
of term to term operation continuity for finite
groupoids, and proved that two testable conditions on a
finite groupoid imply that it is term continuous (TC).
The second presented an evolution inspired algorithm
for finding terms for operations, and gave experimental
evidence that, in general, it was successful exactly
when the groupoid was both idemprimal and TC. Here we
describe a new class of algorithms for finding terms
which brings these results together. Theorems about
idemprimality and term continuity show how each of
these two properties impact our algorithms. They lead
to a final explanation for the success of our
algorithms when the groupoid is both idemprimal and
TC.",

notes = "Mathematics Subject Classification 2010: 08A40,
08A70
See also \cite{doi:10.1142/S0218196713500227}
\cite{Evolution_Algebraic_Terrms_2}
Mathematics Department, SUNY New Paltz New Paltz, NY
12561, USA
",
 }
Genetic Programming entries for
David M Clark
Lee Spector
Citations