On Mon, October 18, 2010 0:20, Rich Cooper said: (01)
> A DAG is the normal, prototypical situation of databases then. (02)
It depends what the database is about, whether it expresses a DAG or
not. A database of vendors and customers could certainly have cycles. (03)
Note that a graph of a single relation, whether tree, forest, DAG, or
cyclic, does not imply that the relation is transitive. (04)
> That
> constraint means that there is an ordering of the <relation>s on one axis
> and the <person/object/thing>s on another which would look like a
> topographic map of a square of land. (05)
Even in the case of a DAG, there is only necessarily a partial ordering. (06)
> Specifically, the ordering of
> <relation>s by identifier associated with the temporal arrival sequence of (07)
The partial ordering would depend on the data, not on the temporal arrival
sequence. (08)
> the relation references in a <text/ontology/dictionary/lexicon> in
> ascending
> order by arrival, mapped against an ordering of <person/object/thing>s in
> ascending order of their own arrival. (09)
Note that a <person/object/thing> can arrive multiple times for many
relations. (010)
> This is the structure of a single
> pass analysis from beginning to end of the model.
>
> Is that intuition correct? (011)
It seems not. (012)
-- doug foxvog (013)
> I.e., a topographically level or sloping model
> of two <property/attribute/column>s in the value plane is ALWAYS
> REALIZABLE
> given the axes are ordered by arrival sequence in ascending order from the
> start (origin) of the <text/ontology/dictionary/lexicon> being scanned in
> one pass?
>
> Queriously,
> -Rich
>
> Sincerely,
> Rich Cooper
> EnglishLogicKernel.com
> Rich AT EnglishLogicKernel DOT com
> 9 4 9 \ 5 2 5 - 5 7 1 2
>
> -----Original Message-----
> From: ontolog-forum-bounces@xxxxxxxxxxxxxxxx
> [mailto:ontolog-forum-bounces@xxxxxxxxxxxxxxxx] On Behalf Of John F. Sowa
> Sent: Sunday, October 17, 2010 8:30 PM
> To: ontolog-forum@xxxxxxxxxxxxxxxx
> Subject: Re: [ontolog-forum] Interpreting OWL
>
> On 10/17/2010 10:59 PM, doug foxvog wrote:
>> It seems to me that the graph would have many disconnected subgraphs,
>> and certainly not be a single tree.
>
> Yes. Technically, it would be a forest.
>
>> The unusual case would be when there was a loop. This could happen if
>> a professor were to go for another PhD after a number of years, and
>> have as a thesis advisor in the new field a former student or even
>> student of a student.
>
> Yes.
>
> On 10/17/2010 11:20 PM, Rich Cooper wrote:
>> Is there any looser constraint, or must the graph be a DAG at all to be
>> fully distinguishable<persons/objects/things> among the paths?
>
> If all relations are symmetric, the graph would not be directed.
> But most relations are not symmetric.
>
> John
>
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> (014)
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doug foxvog doug@xxxxxxxxxx http://ProgressiveAustin.org (015)
"I speak as an American to the leaders of my own nation. The great
initiative in this war is ours. The initiative to stop it must be ours."
- Dr. Martin Luther King Jr.
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