Methods
One method used in proofs involving numeric calculations is to control the round-off and propagation errors through the interval arithmetic technique. More precisely, one reduces the computation to a sequence of elementary operations, say (+,-,*,/); the result of an elementary operation is rounded off by the computer precision. However, one can construct an interval provided by upper and lower bounds on the result of an elementary operation. Then one proceeds by replacing numbers with intervals and performing elementary operations between such intervals of representable numbers.
Read more about this topic: Computer-assisted Proof
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