Graves, Steven: Odrzywołek's Operator and its Zero-Based Möbius Substrate

Odrzywołek's Exp-Minus-Log operator, eml(x, y) = exp(x) ln(y), is provably a complete basis for the entire class of elementary functions when paired with the constant 1 such that any finite expression built from variables, constants, arithmetic operations, and the exp and ln functions will eventually materialize given enough runtime. This paper strips away even this dependence to study a modified version, OZ(x, y) := eˣ − ln(y + 1), beginning instead from the basepoint 0 and generating the unit