I've updated the wiki. (Still far from complete)

Please provide feedback on the matter so far.

Places to look at:

* The Project
<https://github.com/sympy/sympy/wiki/GSoC-2015-Application-Sudhanshu-Mishra:-Assumptions#the-project>
* Execution
<https://github.com/sympy/sympy/wiki/GSoC-2015-Application-Sudhanshu-Mishra:-Assumptions#execution>


Sudhanshu Mishra

On Sun, Mar 22, 2015 at 3:10 PM, Joachim Durchholz <j...@durchholz.org> wrote:

> Am 22.03.2015 um 01:04 schrieb Aaron Meurer:
>
>> On Sat, Mar 21, 2015 at 2:57 PM, Joachim Durchholz <j...@durchholz.org>
>> wrote:
>>
>>> Am 21.03.2015 um 19:54 schrieb Aaron Meurer:
>>>
>>>>
>>>>> I do not think the new assumptions should call the old assumptions. The
>>>>> new
>>>>> assumptions work by manipulating data structures, not by executing
>>>>> code.
>>>>>
>>>>
>>>> They do execute code. See sympy.assumptions.handlers.
>>>>
>>>
>>>
>>> Oh. I've been thinking that that was part of the old assumptions system.
>>> But what data is the SAT solver working with, then?
>>>
>>
>> Currently, the known_facts
>> (https://github.com/sympy/sympy/blob/5507c86e70f816f95f87b868615502
>> a44cac5853/sympy/assumptions/ask.py#L329-L377).
>> In my branch, everything in that file.  The known_facts are what I
>> like to call the "free" facts, in that they can be written down
>> completely free of the expression they apply to. For instance,
>> Implies(Q.positive, Q.real). Facts that depend on the kind of
>> expression they apply to (like, if all terms in an Add are positive,
>> then the whole expression is positive), aren't expressible
>> symbolically in the current new assumptions (but they are in 2508).
>>
>
> Oh, I see.
>
> I'd want go full length towards making all rules into data structures, no
> code execution at all (except for generic code to apply rules, obviously).
> I can't even give a hard reason for that, except that I know from
> experience that data is far easier to analyze and do something new and
> initially unexpected than code where this is essentially impossible. Also,
> all solvers that I know work that way.
>
> I don't know whether that would be a wise approach for SymPy, or the right
> thing to do right now.
> I'm slightly worried that we might want to go full length to data-based
> solving after we get the SAT solver, and then have *three* solvers to deal
> with (because the old assumptions system won't die that quickly), so I
> still see a small advantage to going that direction right now.
> Downside of "right now" would be "who's going to do it" and "that's going
> to be even more work"... so I don't know enough to have a real position
> about what's the best way forward.
>
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