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[Coq-Club] Karatsuba's Multiplication


chronological Thread 
  • From: roconnor AT theorem.ca
  • To: Coq Club <coq-club AT pauillac.inria.fr>
  • Subject: [Coq-Club] Karatsuba's Multiplication
  • Date: Thu, 22 Dec 2005 07:53:01 -0500 (EST)
  • List-archive: <http://pauillac.inria.fr/pipermail/coq-club/>

I have a new revised version of Karatsuba's Multiplication, O(n^lg 3), in
Coq.  It is available at <http://r6.ca/Karatsuba/Karatsuba.tar.gz>.  The
revised version has removed all internal proof objects, and no longer uses
well-founded recursion.  The result is that the code less obviously
implements Karatsuba's Multiplication correctly, but it now runs fast
under call-by-value evaluation.  It is, of course, proved that this
multiplication is extensionally equivalent to regular multiplication.

-- 
Russell O'Connor                                      <http://r6.ca/>
``All talk about `theft,''' the general counsel of the American Graphophone
Company wrote, ``is the merest claptrap, for there exists no property in
ideas musical, literary or artistic, except as defined by statute.''




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