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Automatic Proof for Theorems On Transcendental Functions

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Speaker: Lawrence Paulson

Many inequalities involving exponentials, logarithms and other functions can be proved automatically by combining a resolution theorem prover (Metis) with a decision procedure for the theory of real closed fields (QEPCAD). The method should be applicable to any functions for which polynomial upper and lower bounds are known. The resolution prover is modified to use the decision procedure to simplify clauses and to detect redundant clauses. The method requires a careful selection of axioms, including bounds on the mathematical functions.

This talk is part of the Computer Laboratory Automated Reasoning Group Lunches series.

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