Guaranteed Proofs Using Interval Arithmetic - LRI
Guaranteed Proofs Using Interval Arithmetic - LRI
Guaranteed Proofs Using Interval Arithmetic - LRI
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Introduction <strong>Interval</strong>s Improvements ConclusionProving mathematical inequalities◮ Let π and π be two rational approximations of π such thatπ ≤ π ≤ π. Since tan is monotonous on [0, π 2[, the inequalityis implied by 3π180 ≤ g 35πvtan(180 ).◮ Let tan be a closed rational function Q → Q such thattan(x) ≤ tan(x). The inequality is then implied by35πtan(180 ).3π180 ≤ g vMarc Daumas, Guillaume Melquiond, César Muñoz<strong>Guaranteed</strong> <strong>Proofs</strong> <strong>Using</strong> <strong>Interval</strong> <strong>Arithmetic</strong>
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