00925nas a2200133   4500000000100000008004100001100001600042700001500058700001300073700001600086245006400102300001400166520061100180       2013                            d1 aArtur Rataj1 aM. Szczuka1 aL. Czaja1 aM. Kacprzak00aFractional Genetic Programming for a More Gradual Evolution  a371–3823 aWe propose a softening of a genetic program by the so-called fractional instructions. Thanks to their adjustable strengths, a new instruction can be gradually introduced to a program, and the other instructions may gradually adapt to the new member. In this way, a transformation of one candidate into another can be continuos. Such an approach makes it possible to take advantage of properties of real-coded genetic algorithms, but in the realm of genetic programming. We show, that the approach can be successfully applied to a precise generalisation of functions, including those exhibiting periodicity.