# Convergence (logic)

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In mathematics, computer science and logic, convergence is the idea that different sequences of transformations come to a conclusion in a finite amount of time (the transformations are terminating), and that the conclusion reached is independent of the path taken to get to it (they are confluent).

More formally, a preordered set of term rewriting transformations are said to be convergent if they are confluent and terminating.[1]

## References

1. ^ Franz Baader; Tobias Nipkow (1998). Term Rewriting and All That. Cambridge University Press. ISBN 0-521-77920-0.