See, that is how you can make a Professor work for you.   
   First call him bad names, then ask a lot of stupid questions.   
   He already looked up Knuth for me.   
      
   Anyway, thats the idea behind a forum, and as voluntarily   
   as he contributes he can also quit. Nevertheless I   
   will shamelessly use everything I can gather.   
      
   Am Freitag, 7. Juli 2017 01:03:18 UTC+2 schrieb burs...@gmail.com:   
   > Which makes Knuth not suitable as a reference to support   
   > R. Fatemans conjecture about GCD and GB.   
   > Also there is a problem GB is a moving target, take F4,   
   > its quite a mixture of different approaches.   
   >   
   > So lets say R. Fatemans conjecture is still undecided   
   > in my opinion, what evidence do we have so far? Are there   
   > some theoretical results that would support R. Fatemans   
   > conjecture, not only some lousy maxima benchmarks?   
   >   
   > and where do we draw a line? What if the next big GB   
   > algorithm uses subresultants? Its all very thin ice,   
   > not clearly specified what the R. Fateman conjecture   
   > should be at all. There is also doubt that the R. Fateman   
   >   
   > conjecture makes any sense at all. Given that any   
   > GCD algorithm will progress through some states S1,..,Sn   
   > and any GB algorithm also progresses through some states   
   > T1,..,Tn, and that for example in the realm of GCD   
   >   
   > there are already theoretical results that for example   
   > Euclid GCD based on polynomial division and GCD based on   
   > subresultant, are essentially the same, except for one   
   > lego brick that was replaced.   
   >   
   > It might be that there are also such holes in the GB   
   > algorithm, where we can plug-in different lego bricks.   
   > This is already seen in GB algorithms for some symmetric   
   > cases, don't ask me more, but it seems the variation point   
   >   
   > there are the S-polynomials. Etc.. Etc..   
   >   
   > Am Freitag, 7. Juli 2017 00:30:00 UTC+2 schrieb burs...@gmail.com:   
   > > Knuth is kind of a methusalem reference for GCD, his 2nd   
   > > vol is from 1969, he even doesn't mention GCD via GB.   
      
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