A differentiation primitive for extended λ-calculus

Terry Flaherty · 1988

A symbolic differentiation functional that handles expressions containing free and bound variables in an extended λ-calculus programming language is described. The differentiation primitive is implemented by augmenting the set of graph-reduction rules that define the evaluation of expressions. A formalization of partial derivatives of functions wrt position of parameters is presented. A comparison is made to other methods of automatic differentiation.

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