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RE: ONT Re: Zeroth Order Theories (ZOT's)




FYMFWN? OKLBITMSOKBCYMALO~~~~~~~O~I?

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Danny Ayers
<stuff> http://www.isacat.net </stuff>

>-----Original Message-----
>From: owner-ontology@majordomo.ieee.org
>[mailto:owner-ontology@majordomo.ieee.org]On Behalf Of Jon Awbrey
>Sent: 31 January 2002 00:00
>To: Arisbe; Gdsemiocom; Ontology
>Subject: ONT Re: Zeroth Order Theories (ZOT's)
>
>
>
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>
>Phobic Apollo (cont.)
>
>It might be instructive to review various aspects
>of how the Theme One Study function actually went
>about arriving at its answer on that last problem.
>Just to prove that I and my program really did do
>our homework on that Phobic Apollo ConSat problem,
>and didn't just provoke some Oracle or other data
>base server to give it away, here is the middling
>output of the Model function as run on ConSat.Log:
>
>Model Outline:  ConSat.Mod
>o-------------------------------------------------o
>| pete_plays_guitar -                             |
>| (pete_plays_guitar )                            |
>|  pete_plays_sax                                 |
>|   pete_plays_drums -                            |
>|   (pete_plays_drums )                           |
>|    paul_plays_sax -                             |
>|    (paul_plays_sax )                            |
>|     jane_plays_sax -                            |
>|     (jane_plays_sax )                           |
>|      paul_plays_guitar                          |
>|       paul_plays_drums -                        |
>|       (paul_plays_drums )                       |
>|        jane_plays_guitar -                      |
>|        (jane_plays_guitar )                     |
>|         jane_plays_drums                        |
>|          pete_fears_13                          |
>|           pete_fears_cats -                     |
>|           (pete_fears_cats )                    |
>|            pete_fears_height -                  |
>|            (pete_fears_height )                 |
>|             paul_fears_13 -                     |
>|             (paul_fears_13 )                    |
>|              jane_fears_13 -                    |
>|              (jane_fears_13 )                   |
>|               paul_fears_cats -                 |
>|               (paul_fears_cats )                |
>|                paul_fears_height -              |
>|                (paul_fears_height ) -           |
>|          (pete_fears_13 )                       |
>|           pete_fears_cats -                     |
>|           (pete_fears_cats )                    |
>|            pete_fears_height -                  |
>|            (pete_fears_height ) -               |
>|         (jane_plays_drums ) -                   |
>|      (paul_plays_guitar )                       |
>|       paul_plays_drums                          |
>|        jane_plays_drums -                       |
>|        (jane_plays_drums )                      |
>|         jane_plays_guitar                       |
>|          pete_fears_13                          |
>|           pete_fears_cats -                     |
>|           (pete_fears_cats )                    |
>|            pete_fears_height -                  |
>|            (pete_fears_height )                 |
>|             paul_fears_13 -                     |
>|             (paul_fears_13 )                    |
>|              jane_fears_13 -                    |
>|              (jane_fears_13 )                   |
>|               paul_fears_cats -                 |
>|               (paul_fears_cats )                |
>|                paul_fears_height -              |
>|                (paul_fears_height ) -           |
>|          (pete_fears_13 )                       |
>|           pete_fears_cats -                     |
>|           (pete_fears_cats )                    |
>|            pete_fears_height -                  |
>|            (pete_fears_height ) -               |
>|         (jane_plays_guitar ) -                  |
>|       (paul_plays_drums ) -                     |
>|  (pete_plays_sax )                              |
>|   pete_plays_drums                              |
>|    paul_plays_drums -                           |
>|    (paul_plays_drums )                          |
>|     jane_plays_drums -                          |
>|     (jane_plays_drums )                         |
>|      paul_plays_guitar                          |
>|       paul_plays_sax -                          |
>|       (paul_plays_sax )                         |
>|        jane_plays_guitar -                      |
>|        (jane_plays_guitar )                     |
>|         jane_plays_sax                          |
>|          pete_fears_13 -                        |
>|          (pete_fears_13 )                       |
>|           pete_fears_cats                       |
>|            pete_fears_height -                  |
>|            (pete_fears_height )                 |
>|             paul_fears_cats -                   |
>|             (paul_fears_cats )                  |
>|              jane_fears_cats -                  |
>|              (jane_fears_cats )                 |
>|               paul_fears_13                     |
>|                paul_fears_height -              |
>|                (paul_fears_height )             |
>|                 jane_fears_13 -                 |
>|                 (jane_fears_13 )                |
>|                  jane_fears_height *            |
>|                  (jane_fears_height ) -         |
>|               (paul_fears_13 )                  |
>|                paul_fears_height -              |
>|                (paul_fears_height ) -           |
>|           (pete_fears_cats )                    |
>|            pete_fears_height -                  |
>|            (pete_fears_height ) -               |
>|         (jane_plays_sax ) -                     |
>|      (paul_plays_guitar )                       |
>|       paul_plays_sax -                          |
>|       (paul_plays_sax ) -                       |
>|   (pete_plays_drums ) -                         |
>o-------------------------------------------------o
>
>This is just the traverse of the "arboreal boolean expansion" (ABE) tree
>that Model function germinates from the propositional expression that we
>planted in the file Consat.Log, which works to describe the facts of the
>situation in question.  Since there are 18 logical feature names in this
>propositional expression, we are literally talking about a function that
>enjoys the abstract type f : %B%^18 -> %B%.  If I had sat down to evalue
>this function by expressly writing out its truth table, then it would've
>required 2^18 = 262144 rows.  Now I didn't bother to count, but I'm sure
>that the above output does not have anywhere near that many lines, so it
>must be that my program, and maybe even its author, has done a couple of
>things along the way that are moderately intelligent.  At least, we hope.
>
>Jon Awbrey
>
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