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Re: Motion 0035 -- New levels 1 and 1a



Arnold Neumaier wrote:
On 05/06/2012 07:01 PM, Michel Hack wrote:
The proposed new Level 1 is clear:  plain Moore intervals.  That's not
what earlier motions decided to use, but then new motions can override
old ones.

If unbounded intervals are excluded from the standard, or replaced by
intervals with a vague overflow bound, the standard will be useless for
rigorous global optimization.

The motion says:

"In Level 1a, FTIA is extended to unbounded intervals and the empty set
according to (4) and (5); this is the level of "algebraic closure" (AC) for
interval arithmetic."

The definitions (4) and (5) in the position paper are the same as those
given by John Pryce in the current standard draft text. So the motion is not
excluding unbounded intervals from the standard.

Nate