Program testing seeks to show that input values produce acceptable output values but can never prove the absence of errors. Proof of correctness uses formal logic to prove that if input values satisfy constraints, output values will satisfy specific properties. Total quality control is a management framework that links different business functions through information sharing to ensure continuous excellence. It involves applying tools like control charts, histograms, Pareto charts, fishbone diagrams, and scatter diagrams to identify and address quality issues.
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