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A magic value in a program is a constant symbol that is essential for theexecution of the program but has no clear explanation for its choice. Learningprograms with magic values is difficult for existing program synthesisapproaches. To overcome this limitation, we introduce an inductive logicprogramming approach to efficiently learn programs with magic values. Ourexperiments on diverse domains, including program synthesis, drug design, andgame playing, show that our approach can (i) outperform existing approaches interms of predictive accuracies and learning times, (ii) learn magic values frominfinite domains, such as the value of pi, and (iii) scale to domains withmillions of constant symbols.

Learning programs with magic values