#11309: Sage sees -x +y > 0, -y + x >= 0,  and  x -y > 0 as equivalent
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   Reporter:  tnv                                  |          Owner:  burcin    
                                     
       Type:  defect                               |         Status:  
needs_work                                     
   Priority:  major                                |      Milestone:  
sage-4.7.1                                     
  Component:  symbolics                            |       Keywords:  
inequality equality relational sd31 __richcmp__
Work_issues:                                       |       Upstream:  N/A       
                                     
   Reviewer:  Karl-Dieter Crisman, ThanhVu Nguyen  |         Author:  Keshav 
Kini, Burcin Erocal                     
     Merged:                                       |   Dependencies:            
                                     
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Comment(by tnv):

 > Which prover are you thinking of? What would this let us do in Sage?
 Perhaps you should write a message to sage-devel about this.

 I am thinking about the optional package too.  Someone told me qepcad (not
 exactly SMT but can be used for many similar purpose) already in Sage as
 an optional package.

 The good thing about these SMT solvers is that most of them support a
 standard language (smtlib) and therefore you can use any of the SMT's out
 there with a single interface.  SMT can be used to show if something (a
 set of expressions or constraints) is valid  or  satisfiable under
 different types of theories (not just boolean), or simplify a set of
 expression, etc.  I rely on these for implications on my project-- to see
 if 2 sets of expressions are equi-satisfiable .

 So all the above examples of whether if exp1 == exp2  should be easily
 answered with SMT.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11309#comment:31>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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