- 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 = "759--790",
- keywords = "genetic algorithms, genetic programming, theory, Evolutionary computation, term operation, idemprimality, term continuity, randomizing algorithms",
- ISSN = "0218-1967",
- 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
",
