On 15 November 2016 at 09:19, Thierry <sage-googlesu...@lma.metelu.net> wrote:
> On Tue, Nov 15, 2016 at 08:53:43AM +0100, Vincent Delecroix wrote:
>> Not currently (though we have "Unknown"). The main problem is the
>> interaction with Python booleans and the operators "or", "and", "not"
>> (which are *not* logical operators). The Sage "Unknown" is badly
>> broken for these reasons
>>
>> sage: not Unknown   # waiting for Unknown
>> True
>> sage: Unknown or False   # waiting for Unknown
>> False
>>
>> So be careful if you start using it!
>>
>> If we would use the correct logical operators ~ (for negation), ^ (for
>> xor) and & (for and) then we might be able to come up with something.
>> But Sage sort of ignore them.
>>
>> This problem has been discussed a lot on this mailing list and there
>> even exists a (refused) PEP request in this direction.
>
> For reference, it is https://www.python.org/dev/peps/pep-0335/ (the main
> reason for rejecting the proposal was "too much discussions"...).
>
> Perhaps was the proposal too greedy, so i wonder whether there would be a
> possibility to have a trool adding an Unknown to bool that does not
> perturb the speed when only True and False are used, and so that the
> "short-circuiting semantics" remains preserved.

No way! In an expression such as

  "True or whatever_function(x)"

the "whatever_function(x)" is *not* evaluated...

sage: def f(): print "hello"
sage: True or f()
True

> This could indeed be useful in testing equality of overlaping
> real-intervals, undecidable problems in groups, equality of symbolic
> expressions, ...

But I agree that it could be useful.

Vincent

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