What can be learned from failed proofs of non-theorems?
Dennis, Louise Abigail and Nogueira, Pablo (2005) What can be learned from failed proofs of non-theorems? In: Theorem Proving in Higher Order Logics: Emerging Trends Proceedings, September, Oxford.
This paper reports an investigation into the link between failed proofs and non-theorems. It seeks to answer the question of whether anything more can be learned from a failed proof attempt than can be discovered from a counter-example. We suggest that the branch of the proof in which failure occurs can be mapped back to the segments of code that are the culprit, helping to locate the error.
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