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Re: Motion P1788/M0061:REvisedFlavorsText -- voting period begins



YES

George Corliss

On Feb 7, 2014, at 8:24 AM, Ralph Baker Kearfott <rbk5287@xxxxxxxxxxxxx> wrote:

> P-1788:
> 
> Voting on this motion herewith begins.  The rules for
> standard text motions apply.
> 
> Voting will continue until after Friday, February 28, 2014.
> 
> Juergen: Please update the on-line list of motions with
>         this information and the updated document.
> 
> Best regards,
> 
> Baker
> 
> On 02/03/2014 09:01 AM, John Pryce wrote:
>> P1788
>> 
>> Here is a new draft of Clause 7 "Flavors". I think the ideas
> are now made firm. There may be minor changes because of poor
> wording - please read with care, and complain about any
> obscurities. But I believe this text is ready to proceed to the
> vote.
>> 
>> The main changes are:
>> 
>> 1. A thorough revision of §7.5.3 "Level 2 operations". Following Vladik's
>>   support for my thesis that "uncertainty is essential", the possibility
>>   that an implementation may be unable to decide certain facts, because of
>>   algorithmic constraints, is made an inherent feature of Level 2 in any
>>   flavor.
>> 
>>   For example the description (7.5.3 item 3(b)) of how the T-version phi_T of
>>   an operation phi with decorated-interval result is handled now says
>> 
>>>   If [the Level 1 result is found to exist and] is a decorated interval y_dy there are
>>>   three cases.
>>>   - If phi is an arithmetic operation, and [the input box] is a decorated
>>>     common input (this implies dy=com, see §7.4.2), and a common T-interval
>>>     z containing y is found, then phi_T returns such a z with the decoration
>>>     com.
>>>   - Otherwise, if a T-interval z containing y is found (in particular if
>>>     Entire exists in the flavor and is a T-interval), then phi_T returns
>>>     such a z with a flavor-defined decoration.
>>>   - Otherwise, no such z is found. Then phi_T signals the IntvlOverflow
>>>     exception and the returned result, if any, is flavor-defined.
>> 
>>   Here "is found" is defined to mean that the implementation is able to compute
>>   a value, or determine whether a fact is true.
>> 
>>   In the first of the 3 cases above, I've kept the requirement that the returned
>>   decoration is "com" -- not a possibly weaker decoration, as suggested by Michel.
>>   This is because it seems to me all the bases have been covered:
>>   - The input *is* a decorated common input box, meaning its components are common
>>   intervals decorated "com". I said "is", not "is found to be", because I can't
>>   conceive a flavor, type or implementation, where it is difficult at run time to
>>   decide if a given interval is common or not. Is that reasonable?
>>   - The common z containing y "is found" by the implementation. So at this point all
>>   uncertainty has disappeared, and there is no reason to return a weaker decoration.
>> 
>>   The terms "decorated common evaluation" and "decorated common input" have been made
>>   Level 1 (not Level 2) notions, put in 7.4.2. The subsubsection after 7.4.3 that used
>>   to define them has been removed.
>> 
>> 2. I have changed the exceptions "IntvConstructorFails" and "IntvConstructorUnsure" to
>>   "UndefinedOperation" and "PossiblyUndefinedOperation" throughout the text, for the
>>   reasons I stated before.
>> 
> 
> 
> -- 
> 
> ---------------------------------------------------------------
> R. Baker Kearfott,    rbk@xxxxxxxxxxxxx   (337) 482-5346 (fax)
> (337) 482-5270 (work)                     (337) 993-1827 (home)
> URL: http://interval.louisiana.edu/kearfott.html
> Department of Mathematics, University of Louisiana at Lafayette
> (Room 217 Maxim D. Doucet Hall, 1403 Johnston Street)
> Box 4-1010, Lafayette, LA 70504-1010, USA
> ---------------------------------------------------------------
> <20140203Flavors.pdf>

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