Hello everyone,

I am Shubham Kumar Jha, a pre-final year Undergraduate student in C.S.E. 
from NIT Agartala (India). I am participating in GSoC 2019 under SymPy. I 
went through the ideas page of GSoC 2019 and found the Assumptions project 
to be both appealing and exciting to me. I want to work on it. I have gone 
through much of the literature on Assumptions and still reading them. The 
project is huge and I still need to make a clear note of the amount of work 
done and not done. But following are some tasks I would want to work on:

   - *Add support for Relational expressions: *Currently, Assumptions 
   doesn't support relational expressions. I would extend the capabilities of 
   Assumptions. It would also help in other parts of the project.
   - *Convert handlers to their relational equivalents: *While working on 
   some handlers I found handlers in particular are not very powerful or 
   expandable. With added support for Relational expressions, we can convert 
   handlers to their relational equivalents. In this way, we can save much of 
   the predicates since inferences on Relationals would be enough for most of 
   them. Also, it would make them easily expandable.
   - *Increase the capabilities of SAT solver: *Aaron Meurer(@asmeurer) has 
   already done so much work in it (which I still need to go through). I would 
   try to extend its capabilities and speed it up. Currently, I am having 
   Logical Inference as one of my subjects this semester which heavily 
   utilizes CLIPS. I would look into CLIPS or other better alternatives if I 
   can mimic their functionalities.
   - *Work on global assumptions: *As suggested by Sudhanshu 
   Mishra(@debugger22) we can add assumptions into the global scope with their 
   scope numbers and purge them during garbage collection. I support the 
   approach with context manager but I think the addition of this capability 
   will also be good.

I am still going through the works done in Assumptions and would draft a 
refined proposal over this and the suggestions I receive. Also, I would 
create the timeline accordingly. I know the project is very huge therefore 
I would like if some mentors can guide me into specifics that heavily 
require work now.

I have no commitments for this summer and I am able to devote my full time 
to SymPy. I have been a part of the community for the past 3-4 months and I 
understand SymPy's codebase pretty well. Hence, I don't need time to get 
familiarize with it. Also, before the beginning of the coding period, I 
would have gone through Assumptions mechanism. I would start working on my 
project from the very beginning. Since the project is huge my main target 
would be to bring the assumptions upfront so more work would be done in 
this field. Also, I won't stop working after GSoC. I will complete whatever 
I would start.

Thank You,
Shubham Kumar Jha
@ShubhamKJha <https://github.com/ShubhamKJha>

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