EVOLUTION OF ALGEBRAIC TERMS 1: TERM TO TERM OPERATION CONTINUITY
David M. Clark · International Journal of Algebra and Computation · 2013
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.