#18883: use Pynac for symbolic comparison instead of Maxima
-------------------------+----------------------------
   Reporter:  rws        |            Owner:
       Type:  defect     |           Status:  new
   Priority:  major      |        Milestone:  sage-6.8
  Component:  symbolics  |         Keywords:
  Merged in:             |          Authors:
  Reviewers:             |  Report Upstream:  N/A
Work issues:             |           Branch:
     Commit:             |     Dependencies:
   Stopgaps:             |
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 This:
 {{{
 sage: bool(exp(x)>=0)
 True
 }}}
 unexpectedly uses Maxima, and gets it wrong, too (the already known
 complex domain problem, see e.g. #14305).

 Since Pynac can now assign info flags to function expressions the possible
 cases for `abs`, `factorial`, `binomial`, `real`, `imag`, `step` should be
 implemented in Pynac (this is https://github.com/pynac/pynac/issues/78)
 and the cases like above handled in Pynac.

 The repercussions are not limited to such comparisons. The more
 expressions have info flags set the more expressions with more complicated
 structure can be decided and more questions answered.

--
Ticket URL: <http://trac.sagemath.org/ticket/18883>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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