On Saturday, March 7, 2015 at 10:57:32 PM UTC+5:30, rl wrote:
>
> Hi, 
>
>
> > I want to implement Karr Algorithm for GSoC 2015. I have read the 
> > Karr's original paper 
>
> This is just for Background and basic definition. 
> It is not complete enough for a modern implementation. 
>

Yeah. It was very much unreadable for me in the later portions.
 

> > and Brucin Erocal's thesis 
> > <http://www.sagemath.org/files/thesis/erocal-thesis-2011.pdf> 
>
> He has a very good itroduction to the topic. 
> However, his focus was algebraic extensions 
> of the difference fields. For an implementation 
> I would go after transcendental ones first. 
> Algebraic extensions are always most difficult. 
> (Compare also to Risch integration.) 
>
>
You suggested this one and the carsten's thesis on an old thread 
from there I picked these ones. I didn't look at Algebraic extensions 
as such. There seems to be a lot of issues in implementing just the 
transcendental ones.  I think Erocal's implementation uses a lot of 
Sage's Field module which is currently non-existent in sympy afaik.
So I have to see how of it do I need for this project. 

 

> > I found Karr's original paper is a little hard to read 
> > from So I am currently reading Carsten Schneider Thesis 
> > <file:///home/vramana/Downloads/SymbSumTHESIS.pdf> . 
>
> Perfect. But this assumes the same algebraic setting 
> of difference algebra.
>

I am currently struggling to see how do I start the implementation and 
what are the things I need to implement before it. Can you tell me what 
will be the high level approach to this project?  

So, for now I'll read this thoroughly and get a better understanding.


> Erocal Thesis mentions of an existing implementation of Karr 
> > algorithm using Sage. But I couldn't find it anywhere. 
>
> The Code was never merged into Sage and is not online. 
>

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