>
> The PPL backend does not work with integer variables. The GLPK backend 
> does. You can look at the documentation of the ppl backend, though I 
> guess you already know this: 
>
> http://www.sagemath.org/doc/reference/numerical/sage/numerical/backends/ppl_backend.html
>  
>
> What I said is that the IP solvers, despite the fact that they deal with 
integer variables, do *not* give reliable results. As far as I know, the 
scip project http://scip.zib.de/exactmip.shtml is the only one which 
produces proven results for IP problems, but it is (not yet?) available 
from Sage. Don't know about glpk with the --exact option. But the 
performance of glpk is that bad, so that it would probably be close to 
useless if it could also handle the more expensive exact solving.

-- Peter Mueller

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