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ONT Re: Data Models, Ontologies, Logic




o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o

Jim,

In trying to respond to your questions, I constantly found myself
wondering if you mean the same thing by each piece of terminology
as I do whenever I use it, or what would my own closest term be.

So let me propose the following:  Just for the sake of novelty,
let's dispense with all of the jargon that we are able to drop,
pick an actual, concrete, non-mickey-mouse example of a dataset
where the issues of relating data models (defs, schemas, specs),
constants of an ontology (= first order theory), and the matter
and the method of the science in general that is known as logic,
can be brought together in concrete illustration of quite a few
salient points at issue.

I just happen to have such a dataset on hand.

So let us begin by conveying to each other
what each of us calls the various bits and
pieces of this following true-life dataset:

¤~~~~~~~~~¤~~~~~~~~~¤~~~~~~~~~¤~~~~~~~~~¤~~~~~~~~~¤~~~~~~~~~¤~~~~~~~~~¤

"Family Interaction Analysis" (FIA)

-----------------------------------------------------------------------
TRL FAMILY  SESSION   FOCUS  OBSERVER    FAMILY MEMBERS  MO/DY/YR HR:MN
 1   MXYZ      1        1       22          13000000     12/03/86 12:58
-----------------------------------------------------------------------

"Family Interaction Transitions, Observational Data" (FIT.OBS) File:

  0  -00100     0
  0   99999     0
  2  -00302     2
  2   31213     5
  2   11233     8
  2   34213    10
  2   33213    18
  2   10133    19
  2   14233    22
  2   30113    24
  2   99999    29
  2   31113    40
  2   11233    43
  2   31212    46
  2   11232    51
  2   31213    54
  2   11232    56
  2   99999    61
  2   11233    68
  2   36213    70
  2   33213    73
  2   16232    74
  2   33213    77
  2   16232    78
  2   31312    82
  2   99999    91
  2   11233    94
  2   31213    96
  2   99999   101
  2   31112   103
  2   11232   106
  2   31213   108
  2   11232   109
  2   36212   112
  2   16232   115
  2   11232   120
  2   31212   122
  2   11232   127
  2   16232   131
  2   11232   136
  2   16232   138
  2   31213   143
  2   11232   148
  2   16232   155
  2   31212   160
  2   16232   168
  2   31213   170
  2   33213   175
  2   10133   177
  2   35113   184
  2   31213   187
  2   30113   189
  2   11233   192
  2   31213   194
  2   11233   197
  2   31213   200
  2   11232   202
  2   16232   205
  2   99999   211
  2   11232   214
  2   31213   218
  2   13233   222
  2   35113   225
  2   31213   227
  2   11233   228
  2   30113   230
  2   11234   234
  2   31212   238
  2   33213   241
  2   10133   242
  2   31213   244
  2   11232   245
  2   31213   252
  2   11233   254
  2   31213   256
  2   16233   267
  2   11232   269
  2   11231   278
  2   34213   282
  2   10133   287
  2   31213   289
  2   11232   291
  2   31213   296
  2   13133   301
  2   35113   305
  2   11233   309
  2   31213   311
  2   11233   313
  2   31213   316
  2   11233   319
  2   31213   322
  2   11233   323
  2   31213   324
  2   11233   326
  2   33213   329
  2   10133   331
  2   11233   333
  2   31112   338
  2   11233   342
  2   31213   344
  2   11233   347
  2   31213   349
  2   11233   351
  2   31213   352
  2   16233   354
  2   36212   356
  2   11233   362
  2   31213   367
  2   11233   370
  2   31213   371
  2   11232   373
  2   31212   378
  2   11232   381
  2   31213   382
  2   11233   389
  2   31213   392
  2   34213   394
  2   10133   396
  2   31113   398
  2   11233   401
  2   31213   403
  2   11233   405
  2   31212   406
  2   11233   409
  2   31213   412
  2   11233   414
  2   31213   416
  2   36212   417
  2   16232   419
  2   31312   422
  2   33213   426
  2   33213   430
  2   10133   431
  2   10133   434
  2   31213   438
  2   11233   439
  2   31213   440
  2   11233   441
  2   31213   443
  2   11233   449
  2   31112   450
  2   31212   455
  2   16232   457
  2   31213   462
  2   11232   463
  2   31212   467
  2   16232   469
  2   31213   473
  2   11233   477
  2   31213   479
  2   11133   490
  2   31113   492
  2   31213   495
  2   16232   514
  2   31112   517
  2   16232   524
  2   11232   527
  2   31213   530
  2   16232   534
  2   36212   537
  2   32212   539
  2   16232   544
  2   31213   547
  2   11233   548
  2   31213   549
  2   11232   553
  2   99999   561
  2   16212   564
  2   31213   569
  2   11232   575
  2   31314   577
  2   31213   585
  2   16232   589
  2   33213   591
  2   10133   593
  2   11233   595
  2   31213   599
  2   88888   603
  0  -00500   605

-----------------------------------------------------------------------

"Family Interaction Data" (FID) Codes:

 f#_family_member
  f1_child
  f2_father
  f3_mother
  f4_older_brother
  f5_older_sister
  f6_younger_brother
  f7_younger_sister
  f8_household_pets
  f9_multiple_recipients
  f0_objects
 c##_content
  c1#_conversation
   c11_positive_verbal
   c12_talk
   c13_negative_verbal
  c2#_affiliate/distance
   c21_endearment
   c22_tease
   c23_verbal_attack
  c3#_clear_directive
   c31_request
   c32_command
   c33_coerce
  c4#_ambiguous_directive
   c41_request_ambiguous
   c42_command_ambiguous
   c43_coerce_ambiguous
  c5#_response_to_directive
   c51_agree
   c52
   c53_refuse
  c6#_vocal_behavior
   c61
   c62_vocal
   c63
  c7#_nonverbal_behavior
   c71_positive_nonverbal
   c72_neutral_nonverbal
   c73_negative_nonverbal
  c8#_low_grade_physical_contact
   c81_touch
   c82
   c83_physical_aggression
  c9#_pronounced_physical_interaction
   c91_hold
   c92_physical_interact
   c93_physical_attack
  c0#_compliance_behavior
   c01_comply
   c02
   c03_noncomply
 v#_valence
  v1_exuberant_affect
  v2_positive_affect
  v3_neutral_affect
  v4_negative_affect
  v5_extreme_negative_affect

-----------------------------------------------------------------------

"Family Interaction Transition" (FIT) Codes:

 j1_f*_family_member
  j1_f#_null_value
  j1_f1_child
  j1_f2_father
  j1_f3_mother
 j2_c*_content
  j2_c#_null_value
  j2_c1_conversation
  j2_c2_affiliate/distance
  j2_c3_clear_directive
  j2_c4_ambiguous_directive
  j2_c5_response_to_directive
  j2_c6_vocal_behavior
  j2_c7_nonverbal_behavior
  j2_c8_low_grade_physical_contact
  j2_c9_pronounced_physical_interaction
  j2_c0_compliance_behavior
 j3_q*_quality
  j3_q#_null_value
  j3_q1_positive
  j3_q2_neutral
  j3_q3_negative
 j4_v*_valence
  j4_v#_null_value
  j4_v1_exuberant_affect
  j4_v2_positive_affect
  j4_v3_neutral_affect
  j4_v4_negative_affect
  j4_v5_extreme_negative_affect
 k1_f*_family_member
  k1_f#_null_value
  k1_f1_child
  k1_f2_father
  k1_f3_mother
 k2_c*_content
  k2_c#_null_value
  k2_c1_conversation
  k2_c2_affiliate/distance
  k2_c3_clear_directive
  k2_c4_ambiguous_directive
  k2_c5_response_to_directive
  k2_c6_vocal_behavior
  k2_c7_nonverbal_behavior
  k2_c8_low_grade_physical_contact
  k2_c9_pronounced_physical_interaction
  k2_c0_compliance_behavior
 k3_q*_quality
  k3_q#_null_value
  k3_q1_positive
  k3_q2_neutral
  k3_q3_negative
 k4_v*_valence
  k4_v#_null_value
  k4_v1_exuberant_affect
  k4_v2_positive_affect
  k4_v3_neutral_affect
  k4_v4_negative_affect
  k4_v5_extreme_negative_affect

-----------------------------------------------------------------------

"Family Interaction Transitions, Logical Representation" (FIT.LOG) File:

(( j1_f# j2_c# j3_q# j4_v#  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c4 k3_q2 k4_v3
)( j1_f3 j2_c4 j3_q2 j4_v3  k1_f3 k2_c3 k3_q2 k4_v3
)( j1_f3 j2_c3 j3_q2 j4_v3  k1_f1 k2_c0 k3_q1 k4_v3
)( j1_f1 j2_c0 j3_q1 j4_v3  k1_f1 k2_c4 k3_q2 k4_v3
)( j1_f1 j2_c4 j3_q2 j4_v3  k1_f3 k2_c0 k3_q1 k4_v3
)( j1_f3 j2_c0 j3_q1 j4_v3  k1_f# k2_c# k3_q# k4_v#
)( j1_f# j2_c# j3_q# j4_v#  k1_f3 k2_c1 k3_q1 k4_v3
)( j1_f3 j2_c1 j3_q1 j4_v3  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c1 k3_q2 k4_v2
)( j1_f3 j2_c1 j3_q2 j4_v2  k1_f1 k2_c1 k3_q2 k4_v2
)( j1_f1 j2_c1 j3_q2 j4_v2  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v2
)( j1_f1 j2_c1 j3_q2 j4_v2  k1_f# k2_c# k3_q# k4_v#
)( j1_f# j2_c# j3_q# j4_v#  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c6 k3_q2 k4_v3
)( j1_f3 j2_c6 j3_q2 j4_v3  k1_f3 k2_c3 k3_q2 k4_v3
)( j1_f3 j2_c3 j3_q2 j4_v3  k1_f1 k2_c6 k3_q2 k4_v2
)( j1_f1 j2_c6 j3_q2 j4_v2  k1_f3 k2_c3 k3_q2 k4_v3
)( j1_f3 j2_c3 j3_q2 j4_v3  k1_f1 k2_c6 k3_q2 k4_v2
)( j1_f1 j2_c6 j3_q2 j4_v2  k1_f3 k2_c1 k3_q3 k4_v2
)( j1_f3 j2_c1 j3_q3 j4_v2  k1_f# k2_c# k3_q# k4_v#
)( j1_f# j2_c# j3_q# j4_v#  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f# k2_c# k3_q# k4_v#
)( j1_f# j2_c# j3_q# j4_v#  k1_f3 k2_c1 k3_q1 k4_v2
)( j1_f3 j2_c1 j3_q1 j4_v2  k1_f1 k2_c1 k3_q2 k4_v2
)( j1_f1 j2_c1 j3_q2 j4_v2  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v2
)( j1_f1 j2_c1 j3_q2 j4_v2  k1_f3 k2_c6 k3_q2 k4_v2
)( j1_f3 j2_c6 j3_q2 j4_v2  k1_f1 k2_c6 k3_q2 k4_v2
)( j1_f1 j2_c6 j3_q2 j4_v2  k1_f1 k2_c1 k3_q2 k4_v2
)( j1_f1 j2_c1 j3_q2 j4_v2  k1_f3 k2_c1 k3_q2 k4_v2
)( j1_f3 j2_c1 j3_q2 j4_v2  k1_f1 k2_c1 k3_q2 k4_v2
)( j1_f1 j2_c1 j3_q2 j4_v2  k1_f1 k2_c6 k3_q2 k4_v2
)( j1_f1 j2_c6 j3_q2 j4_v2  k1_f1 k2_c1 k3_q2 k4_v2
)( j1_f1 j2_c1 j3_q2 j4_v2  k1_f1 k2_c6 k3_q2 k4_v2
)( j1_f1 j2_c6 j3_q2 j4_v2  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v2
)( j1_f1 j2_c1 j3_q2 j4_v2  k1_f1 k2_c6 k3_q2 k4_v2
)( j1_f1 j2_c6 j3_q2 j4_v2  k1_f3 k2_c1 k3_q2 k4_v2
)( j1_f3 j2_c1 j3_q2 j4_v2  k1_f1 k2_c6 k3_q2 k4_v2
)( j1_f1 j2_c6 j3_q2 j4_v2  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f3 k2_c3 k3_q2 k4_v3
)( j1_f3 j2_c3 j3_q2 j4_v3  k1_f1 k2_c0 k3_q1 k4_v3
)( j1_f1 j2_c0 j3_q1 j4_v3  k1_f3 k2_c5 k3_q1 k4_v3
)( j1_f3 j2_c5 j3_q1 j4_v3  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f3 k2_c0 k3_q1 k4_v3
)( j1_f3 j2_c0 j3_q1 j4_v3  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v2
)( j1_f1 j2_c1 j3_q2 j4_v2  k1_f1 k2_c6 k3_q2 k4_v2
)( j1_f1 j2_c6 j3_q2 j4_v2  k1_f# k2_c# k3_q# k4_v#
)( j1_f# j2_c# j3_q# j4_v#  k1_f1 k2_c1 k3_q2 k4_v2
)( j1_f1 j2_c1 j3_q2 j4_v2  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c3 k3_q2 k4_v3
)( j1_f1 j2_c3 j3_q2 j4_v3  k1_f3 k2_c5 k3_q1 k4_v3
)( j1_f3 j2_c5 j3_q1 j4_v3  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c0 k3_q1 k4_v3
)( j1_f3 j2_c0 j3_q1 j4_v3  k1_f1 k2_c1 k3_q2 k4_v4
)( j1_f1 j2_c1 j3_q2 j4_v4  k1_f3 k2_c1 k3_q2 k4_v2
)( j1_f3 j2_c1 j3_q2 j4_v2  k1_f3 k2_c3 k3_q2 k4_v3
)( j1_f3 j2_c3 j3_q2 j4_v3  k1_f1 k2_c0 k3_q1 k4_v3
)( j1_f1 j2_c0 j3_q1 j4_v3  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v2
)( j1_f1 j2_c1 j3_q2 j4_v2  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c6 k3_q2 k4_v3
)( j1_f1 j2_c6 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v2
)( j1_f1 j2_c1 j3_q2 j4_v2  k1_f1 k2_c1 k3_q2 k4_v1
)( j1_f1 j2_c1 j3_q2 j4_v1  k1_f3 k2_c4 k3_q2 k4_v3
)( j1_f3 j2_c4 j3_q2 j4_v3  k1_f1 k2_c0 k3_q1 k4_v3
)( j1_f1 j2_c0 j3_q1 j4_v3  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v2
)( j1_f1 j2_c1 j3_q2 j4_v2  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c3 k3_q1 k4_v3
)( j1_f1 j2_c3 j3_q1 j4_v3  k1_f3 k2_c5 k3_q1 k4_v3
)( j1_f3 j2_c5 j3_q1 j4_v3  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c3 k3_q2 k4_v3
)( j1_f3 j2_c3 j3_q2 j4_v3  k1_f1 k2_c0 k3_q1 k4_v3
)( j1_f1 j2_c0 j3_q1 j4_v3  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c1 k3_q1 k4_v2
)( j1_f3 j2_c1 j3_q1 j4_v2  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c6 k3_q2 k4_v3
)( j1_f1 j2_c6 j3_q2 j4_v3  k1_f3 k2_c6 k3_q2 k4_v2
)( j1_f3 j2_c6 j3_q2 j4_v2  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v2
)( j1_f1 j2_c1 j3_q2 j4_v2  k1_f3 k2_c1 k3_q2 k4_v2
)( j1_f3 j2_c1 j3_q2 j4_v2  k1_f1 k2_c1 k3_q2 k4_v2
)( j1_f1 j2_c1 j3_q2 j4_v2  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f3 k2_c4 k3_q2 k4_v3
)( j1_f3 j2_c4 j3_q2 j4_v3  k1_f1 k2_c0 k3_q1 k4_v3
)( j1_f1 j2_c0 j3_q1 j4_v3  k1_f3 k2_c1 k3_q1 k4_v3
)( j1_f3 j2_c1 j3_q1 j4_v3  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c1 k3_q2 k4_v2
)( j1_f3 j2_c1 j3_q2 j4_v2  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f3 k2_c6 k3_q2 k4_v2
)( j1_f3 j2_c6 j3_q2 j4_v2  k1_f1 k2_c6 k3_q2 k4_v2
)( j1_f1 j2_c6 j3_q2 j4_v2  k1_f3 k2_c1 k3_q3 k4_v2
)( j1_f3 j2_c1 j3_q3 j4_v2  k1_f3 k2_c3 k3_q2 k4_v3
)( j1_f3 j2_c3 j3_q2 j4_v3  k1_f3 k2_c3 k3_q2 k4_v3
)( j1_f3 j2_c3 j3_q2 j4_v3  k1_f1 k2_c0 k3_q1 k4_v3
)( j1_f1 j2_c0 j3_q1 j4_v3  k1_f1 k2_c0 k3_q1 k4_v3
)( j1_f1 j2_c0 j3_q1 j4_v3  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c1 k3_q1 k4_v2
)( j1_f3 j2_c1 j3_q1 j4_v2  k1_f3 k2_c1 k3_q2 k4_v2
)( j1_f3 j2_c1 j3_q2 j4_v2  k1_f1 k2_c6 k3_q2 k4_v2
)( j1_f1 j2_c6 j3_q2 j4_v2  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v2
)( j1_f1 j2_c1 j3_q2 j4_v2  k1_f3 k2_c1 k3_q2 k4_v2
)( j1_f3 j2_c1 j3_q2 j4_v2  k1_f1 k2_c6 k3_q2 k4_v2
)( j1_f1 j2_c6 j3_q2 j4_v2  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q1 k4_v3
)( j1_f1 j2_c1 j3_q1 j4_v3  k1_f3 k2_c1 k3_q1 k4_v3
)( j1_f3 j2_c1 j3_q1 j4_v3  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c6 k3_q2 k4_v2
)( j1_f1 j2_c6 j3_q2 j4_v2  k1_f3 k2_c1 k3_q1 k4_v2
)( j1_f3 j2_c1 j3_q1 j4_v2  k1_f1 k2_c6 k3_q2 k4_v2
)( j1_f1 j2_c6 j3_q2 j4_v2  k1_f1 k2_c1 k3_q2 k4_v2
)( j1_f1 j2_c1 j3_q2 j4_v2  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c6 k3_q2 k4_v2
)( j1_f1 j2_c6 j3_q2 j4_v2  k1_f3 k2_c6 k3_q2 k4_v2
)( j1_f3 j2_c6 j3_q2 j4_v2  k1_f3 k2_c2 k3_q2 k4_v2
)( j1_f3 j2_c2 j3_q2 j4_v2  k1_f1 k2_c6 k3_q2 k4_v2
)( j1_f1 j2_c6 j3_q2 j4_v2  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v2
)( j1_f1 j2_c1 j3_q2 j4_v2  k1_f# k2_c# k3_q# k4_v#
)( j1_f# j2_c# j3_q# j4_v#  k1_f1 k2_c6 k3_q2 k4_v2
)( j1_f1 j2_c6 j3_q2 j4_v2  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c1 k3_q2 k4_v2
)( j1_f1 j2_c1 j3_q2 j4_v2  k1_f3 k2_c1 k3_q3 k4_v4
)( j1_f3 j2_c1 j3_q3 j4_v4  k1_f3 k2_c1 k3_q2 k4_v3
)( j1_f3 j2_c1 j3_q2 j4_v3  k1_f1 k2_c6 k3_q2 k4_v2
)( j1_f1 j2_c6 j3_q2 j4_v2  k1_f3 k2_c3 k3_q2 k4_v3
)( j1_f3 j2_c3 j3_q2 j4_v3  k1_f1 k2_c0 k3_q1 k4_v3
)( j1_f1 j2_c0 j3_q1 j4_v3  k1_f1 k2_c1 k3_q2 k4_v3
)( j1_f1 j2_c1 j3_q2 j4_v3  k1_f3 k2_c1 k3_q2 k4_v3
))

(( j1_f# ),( j1_f1 ),( j1_f3 ))
(( j2_c# ),( j2_c1 ),( j2_c2 ),( j2_c3 ),( j2_c4 ),( j2_c5 ),
           ( j2_c6 ),( j2_c7 ),( j2_c8 ),( j2_c9 ),( j2_c0 ))
(( j3_q# ),( j3_q1 ),( j3_q2 ),( j3_q3 ))
(( j4_v# ),( j4_v1 ),( j4_v2 ),( j4_v3 ),( j4_v4 ),( j4_v5 ))

((( j2_c7 )( j2_c8 )( j2_c9 )( j4_v5 )))

(( k1_f# ),( k1_f1 ),( k1_f3 ))
(( k2_c# ),( k2_c1 ),( k2_c2 ),( k2_c3 ),( k2_c4 ),( k2_c5 ),
           ( k2_c6 ),( k2_c7 ),( k2_c8 ),( k2_c9 ),( k2_c0 ))
(( k3_q# ),( k3_q1 ),( k3_q2 ),( k3_q3 ))
(( k4_v# ),( k4_v1 ),( k4_v2 ),( k4_v3 ),( k4_v4 ),( k4_v5 ))

((( k2_c7 )( k2_c8 )( k2_c9 )( k4_v5 )))

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