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Re: position paper on comparisons



Dear Juergen and Marco,

like Baker I also think that you may do well to
write a summary of the possible impact of your
position paper on Motion 13.

I have a few terminological comments, questions
and suggestions. 

1.  It seems strange  that you call mapping (1) a
relation. Moreover you call it "interval overlapping
relation". Why? This name suggests a link to relations
"overlapLeft"  and  "overlapRight". Yet these 
relations are  just two of the cases in mapping (1).
Do you want to susggest that the order relation "overlapLeft" 
is "basic" in some sense?  It is well-known that this
relation is of little (or no) importance for interval analysis,
both in theory and applications. To my knowledge it
does not play a special role in  J. F. Allen's boolean
algebra of temporal intervals either.

2. It seems to me that your position paper concerns
implementation layers 3 and 4, is this correct? If so,
your position paper has little or no impact on Motion 13, 
is this so?

I think that  your position paper would become more 
useful, if it includes:

i)  a presentation of all order relations enlisted in
Table 2 by means of the four basic order relations as
given in Motion 13 (improved by remarks made by Nate
Hayes and Michel Hack);

ii) an alternative approach for implementation that is 
based on Kulisch's four basic order relations;

iii) a comparison beween the two approaches  w.r.t. 
effective implementation.

Regards,

Svetoslav


On 12 Apr 2010 at 18:20, J"urgen Wolff von Gudenberg wrote:

Date sent:	Mon, 12 Apr 2010 18:20:00 +0200
From:	J"urgen Wolff von Gudenberg <wolff@xxxxxxxxxxxxxxxxxxxxxxxxxxx>
To:	stds-1788 <stds-1788@xxxxxxxxxxxxxxxxx>
Subject:	position paper on comparisons

> P1788
>  please find attached our position paper on interval comparisons
>   as a contribution to the discussion on motion13
> regards
> Juergen
> 


 Prof. Svetoslav Markov, DSci, PhD

 Head, Dept.  "Biomathematics",               phone: +359-2-979-3704
 Inst. of Mathematics and Informatics,       fax: +359-2-971-3649
 Bulgarian Academy of Sciences,              e-mail: smarkov@xxxxxxxxxx
 "Acad. G. Bonchev" st., block 8,       
 BG-1113 Sofia,  BULGARIA                      mobile (gsm): 0885871584

 URL: http://www.math.bas.bg/~bio/