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Re:Computer scientists prove that a 40-year-old algorithm is... by Sniffnoy on Thursday June 11, 2015 @07:27PM (#9703093)
Interesting to note there slide 5 -- "For many polynomial time problems, improving the best known algorithms, even slightly, implies ¬SETH or ¬ETH."

So apparently the edit-distance result discussed here is part of a history of similar results.

Edit: More detail on this in slides 11 and forward.

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