to provide appropriate handling for the detected cycles.

Assume the simple calculator from before. The equation system "A=B; B=D+C; C=D+A; D=12;" contains a circular dependency formed by A, B and C, as B must be evaluated before A, C must be evaluated before B, and A must be evaluated before C.

Deriving an evaluation order

A correct evaluation order is a numbering of the objects that form the nodes of the dependency graph so that the following equation holds: with

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