Functional directed acyclical graphs for scattering amplitudes in perturbation theory

I describe a mathematical framework for the efficient processing of the very large sets of Feynman diagrams contributing to the scattering of many particles. I reexpress the established numerical methods for the recursive construction of scattering elements as operations on compact abstract data types. This allows efficient perturbative computations in arbitrary models, as long as they can be described by an effective, not necessarily local, Lagrangian.