#17700: wrong symbolic results in case the answer is not known
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       Reporter:  jakobkroeker  |        Owner:
           Type:  defect        |       Status:  new
       Priority:  critical      |    Milestone:  sage-6.5
      Component:  symbolics     |   Resolution:
       Keywords:                |    Merged in:
        Authors:                |    Reviewers:
Report Upstream:  N/A           |  Work issues:
         Branch:                |       Commit:
   Dependencies:                |     Stopgaps:  todo
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Description changed by jakobkroeker:

Old description:

> A failing example is taken from
>
> http://ask.sagemath.org/question/10388/testing-inequalities-in-sage/
> {{{
>
> var('a','b')
> bool( abs(a+b) <= abs(a) + abs(b) ) # False, expected True or 'Unknown'
> assert (not False == bool( abs(a+b) <= abs(a) + abs(b) ) ) #fails
> }}}
>
> see also discussion at
> https://groups.google.com/d/msg/sage-devel/vNxnHSeRBW4/0OpeL0yv9YUJ
>
> In that thread the exception variant is preferred in case of 'don't know'
>
> Please also take into consideration Tristate variants
> ( A sandbox for a Tristate class:
> https://github.com/jakobkroeker/Tristate.py )
>
> See also https://groups.google.com/forum/?hl=en#!topic/sage-
> devel/4DUsgt670MA

New description:

 A failing example is taken from

 http://ask.sagemath.org/question/10388/testing-inequalities-in-sage/
 {{{

 var('a','b')
 bool( abs(a+b) <= abs(a) + abs(b) ) # False, expected True or 'Unknown'
 assert (not False == bool( abs(a+b) <= abs(a) + abs(b) ) ) #fails
 }}}

 The documentation of bool() says "Returns True when the argument x is
 true, False otherwise."

 Formally this includes returning False in case the answer is unknown and
 it seems
 that bool() was specified to behave like it does. But I find that is very
 unfortunate
 and even improving the documentation (explicitly mention the 'answer is
 unknown' case) is not sufficient.


 see also discussion at
 https://groups.google.com/d/msg/sage-devel/vNxnHSeRBW4/0OpeL0yv9YUJ

 In that thread the exception variant is preferred in case of 'don't know'

 Please also take into consideration Tristate variants
 ( A sandbox for a Tristate class:
 https://github.com/jakobkroeker/Tristate.py )

 See also https://groups.google.com/forum/?hl=en#!topic/sage-
 devel/4DUsgt670MA

--

--
Ticket URL: <http://trac.sagemath.org/ticket/17700#comment:5>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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