summaryrefslogtreecommitdiff
path: root/next-lib/src/api/Constructors.gf
blob: c9e227ccf1b45ff80f41181a910e6a888132ed7a (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
1524
1525
1526
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592
1593
1594
1595
1596
1597
1598
1599
1600
1601
1602
1603
1604
1605
1606
1607
1608
1609
1610
1611
1612
1613
1614
1615
1616
1617
1618
1619
1620
1621
1622
1623
1624
1625
1626
1627
1628
1629
1630
1631
1632
1633
1634
1635
1636
1637
1638
1639
1640
1641
1642
1643
1644
1645
1646
1647
1648
1649
1650
1651
1652
1653
1654
1655
1656
1657
1658
1659
1660
1661
1662
1663
1664
1665
1666
1667
1668
1669
1670
1671
1672
1673
1674
1675
1676
1677
1678
1679
1680
1681
1682
1683
1684
1685
1686
1687
1688
1689
1690
1691
1692
1693
1694
1695
1696
1697
1698
1699
1700
1701
1702
1703
1704
1705
1706
1707
1708
1709
1710
1711
1712
1713
1714
1715
1716
1717
1718
1719
1720
1721
1722
1723
1724
1725
1726
1727
1728
1729
1730
1731
1732
1733
1734
1735
1736
1737
1738
1739
1740
--1 Constructors: the Resource Syntax API --# notminimal

incomplete resource Constructors = open Grammar in {  

  flags optimize=noexpand ;  

-- This module gives access to the syntactic constructions of the
-- GF Resource Grammar library. Its main principle is simple:
-- to construct an object of type $C$, use the function $mkC$.
--
-- For example, an object of type $S$ corresponding to the string
--
-- $John loves Mary$
--
-- is written
--
-- $mkS (mkCl (mkNP (mkPN "John")) (mkV2 "love") (mkNP (mkPN "Mary")))$
--
-- This module defines the syntactic constructors, which take trees as arguments.
-- Lexical constructors, which take strings as arguments, are defined in the
-- $Paradigms$ modules separately for each language.
--
-- The recommended usage of this module is via the wrapper module $Syntax$, 
-- which also contains the $Structural$ (structural words). 
-- Together with $Paradigms$, $Syntax$ gives everything that is needed
-- to implement the concrete syntax for a langauge.

--2 Principles of organization --# notminimal

-- To make the library easier to grasp and navigate, we have followed
-- a set of principles when organizing it:
-- + Each category $C$ has an overloaded constructor $mkC$, with value type $C$.
-- + With $mkC$, it is possible to construct any tree of type $C$, except
--   atomic ones, i.e. those that take no arguments, and
--   those whose argument types are exactly the same as in some other instance
-- + To achieve completeness, the library therefore also has
--   for each atomic tree of type $C$, a constant suffixed $C$, and,
--   for other missing constructions, some operation suffixed $C$.
--   These constructors are listed immediately after the $mkC$ group.
-- + Those atomic constructors that are given in $Structural$ are not repeated here.
-- + In addition to the minimally complete set of constructions, many $mkC$ groups
--   include some frequently needed special cases, with two possible logics:
--   default value (to decrease the number of arguments), and
--   direct arguments of an intervening constructor (to flatten the terms).
-- + If such a special case is applied to some category in some rule, it is
--   also applied to all other rules in which the category appears.
-- + The constructors in a group are listed, roughly, 
--   *from the most common to the most general*. This does not of course specify
--   a total order. 
-- + Optional argument types are marked in parentheses. Although parentheses make no
--   difference in the way the GF compiler treats the types, their presence indicates
--   to the reader that the corresponding arguments can be left out; internally, the
--   library has an overload case for each such combination.
-- + Each constructor case is equipped with an example that is built by that
--   case but could not be built with any other one.
--
--

--2 Texts, phrases, and utterances --# notminimal

--3 Text: texts --# notminimal

-- A text is a list of phrases separated by punctuation marks.
-- The default punctuation mark is the full stop, and the default
-- continuation of a text is empty.

  oper   
    mkText : overload { --# notminimal
      mkText : Phr ->                      Text ; -- 1. But John walks. --# notminimal
      mkText : Phr -> (Punct) -> (Text) -> Text ; -- 2. John walks? Yes. --# notminimal

-- A text can also be directly built from utterances, which in turn can
-- be directly built from sentences, present-tense clauses, questions, or
-- positive imperatives. 

      mkText : Utt ->  Text ;  -- 3. John. --# notminimal
      mkText : S   ->  Text ;  -- 4. John walked. --# notminimal
      mkText : Cl  ->  Text ;  -- 5. John walks. --# notminimal
      mkText : QS  ->  Text ;  -- 6. Did John walk? --# notminimal
      mkText : Imp ->  Text ;  -- 7. Walk! --# notminimal

-- Finally, two texts can be combined into a text.

      mkText : Text -> Text -> Text ;  -- 8. Where? When? Here. Now! --# notminimal

      } ; --# notminimal

-- A text can also be empty.

      emptyText :      Text ;  -- 8. (empty text) --# notminimal


--3 Punct: punctuation marks --# notminimal

-- There are three punctuation marks that can separate phrases in a text.

      fullStopPunct  : Punct ;  -- . --# notminimal
      questMarkPunct : Punct ;  -- ? --# notminimal
      exclMarkPunct  : Punct ;  -- ! --# notminimal

--3 Phr: phrases in a text --# notminimal

-- Phrases are built from utterances by adding a phrasal conjunction
-- and a vocative, both of which are by default empty.

    mkPhr : overload { --# notminimal
      mkPhr :            Utt ->          Phr ;  -- 1. why --# notminimal
      mkPhr : (PConj) -> Utt -> (Voc) -> Phr ;  -- 2. but why John --# notminimal


-- A phrase can also be directly built by a sentence, a present-tense
-- clause, a question, or a positive singular imperative. 

      mkPhr : S   ->  Phr ; -- 3. John walked --# notminimal
      mkPhr : Cl  ->  Phr ; -- 4. John walks --# notminimal
      mkPhr : QS  ->  Phr ; -- 5. did John walk --# notminimal
      mkPhr : Imp ->  Phr   -- 6. walk --# notminimal
      } ; --# notminimal

--3 PConj, phrasal conjunctions --# notminimal

-- Any conjunction can be used as a phrasal conjunction.
-- More phrasal conjunctions are defined in $Structural$.

      mkPConj : Conj -> PConj ;  -- 1. and --# notminimal

--3 Voc, vocatives --# notminimal

-- Any noun phrase can be turned into a vocative.
-- More vocatives are defined in $Structural$.

      mkVoc : NP -> Voc ;   -- 1. John --# notminimal

--3 Utt, utterances --# notminimal

-- Utterances are formed from sentences, clauses, questions, and positive singular imperatives.

    mkUtt : overload { --# notminimal
      mkUtt : S   -> Utt ;  -- 1. John walked --# notminimal
      mkUtt : Cl  -> Utt ;  -- 2. John walks --# notminimal
      mkUtt : QS  -> Utt ;  -- 3. did John walk --# notminimal
      mkUtt : QCl -> Utt ;  -- 4. does John walk --# notminimal
      mkUtt : Imp -> Utt ;  -- 5. love yourself --# notminimal

-- Imperatives can also vary in $ImpForm$ (number/politeness) and 
-- polarity.

      mkUtt : (ImpForm) -> (Pol) -> Imp -> Utt ;  -- 5. don't love yourselves --# notminimal

-- Utterances can also be formed from interrogative phrases and
-- interrogative adverbials, noun phrases, adverbs, and verb phrases.

      mkUtt : IP   ->  Utt ;  -- 6. who --# notminimal
      mkUtt : IAdv ->  Utt ;  -- 7. why --# notminimal
      mkUtt : NP   ->  Utt ;  -- 8. John --# notminimal
      mkUtt : Adv  ->  Utt ;  -- 9. here --# notminimal
      mkUtt : VP   ->  Utt    -- 10. to walk --# notminimal
      } ; --# notminimal

-- The plural first-person imperative is a special construction.

      lets_Utt : VP ->  Utt ;  -- 11. let's walk --# notminimal


--2 Auxiliary parameters for phrases and sentences --# notminimal

--3 Pol, polarity --# notminimal

-- Polarity is a parameter that sets a clause to positive or negative
-- form. Since positive is the default, it need never be given explicitly.

      positivePol : Pol ;  -- (John walks) [default] --# notminimal
      negativePol : Pol ;  -- (John doesn't walk) --# notminimal

--3 Ant, anteriority --# notminimal

-- Anteriority is a parameter that presents an event as simultaneous or
-- anterior to some other reference time.
-- Since simultaneous is the default, it need never be given explicitly.

      simultaneousAnt : Ant ;  -- (John walks) [default] --# notminimal
      anteriorAnt     : Ant ;  -- (John has walked)       --# notpresent --# notminimal

--3 Tense, tense --# notminimal

-- Tense is a parameter that relates the time of an event 
-- to the time of speaking about it.
-- Since present is the default, it need never be given explicitly.

      presentTense     : Tense ; -- (John walks) [default] --# notminimal
      pastTense        : Tense ; -- (John walked)           --# notpresent --# notminimal
      futureTense      : Tense ; -- (John will walk)        --# notpresent --# notminimal
      conditionalTense : Tense ; -- (John would walk)       --# notpresent --# notminimal

--3 ImpForm, imperative form --# notminimal

-- Imperative form is a parameter that sets the form of imperative
-- by reference to the person or persons addressed.
-- Since singular is the default, it need never be given explicitly.

      singularImpForm : ImpForm ;  -- (help yourself) [default] --# notminimal
      pluralImpForm   : ImpForm ;  -- (help yourselves) --# notminimal
      politeImpForm   : ImpForm ;  -- (help yourself) (polite singular) --# notminimal


--2 Sentences and clauses --# notminimal

--3 S, sentences --# notminimal

-- A sentence has a fixed tense, anteriority and polarity.

    mkS : overload { --# notminimal
      mkS :                              Cl -> S ;  -- 1. John walks --# notminimal
      mkS : (Tense) -> (Ant) -> (Pol) -> Cl -> S ;  -- 2. John wouldn't have walked --# notminimal

-- Sentences can be combined with conjunctions. This can apply to a pair
-- of sentences, but also to a list of more than two.

      mkS : Conj -> S -> S -> S ;  -- 3. John walks and I run    --# notminimal
      mkS : Conj -> ListS  -> S ;  -- 4. John walks, I run and you sleep --# notminimal

-- A sentence can be prefixed by an adverb.

      mkS : Adv -> S -> S           -- 5. today, John walks --# notminimal
      } ; --# notminimal

--3 Cl, clauses --# notminimal

-- A clause has a variable tense, anteriority and polarity.
-- A clause can be built from a subject noun phrase 
-- with a verb and appropriate arguments.

    mkCl : overload { --# notminimal
      mkCl : NP  -> V  ->             Cl ;  -- 1. John walks --# notminimal
      mkCl : NP  -> V2 -> NP ->       Cl ;  -- 2. John loves her --# notminimal
      mkCl : NP  -> V3 -> NP -> NP -> Cl ;  -- 3. John sends it to her --# notminimal
      mkCl : NP  -> VV -> VP ->       Cl ;  -- 4. John wants to walk  --# notminimal
      mkCl : NP  -> VS -> S  ->       Cl ;  -- 5. John says that it is good --# notminimal
      mkCl : NP  -> VQ -> QS ->       Cl ;  -- 6. John wonders if it is good --# notminimal
      mkCl : NP  -> VA -> AP ->       Cl ;  -- 7. John becomes old --# notminimal
      mkCl : NP  -> V2A -> NP -> AP -> Cl ; -- 8. John paints it red --# notminimal
      mkCl : NP  -> V2S -> NP -> S -> Cl ;  -- 9. John tells her that we are here --# notminimal
      mkCl : NP  -> V2Q -> NP -> QS -> Cl ; -- 10. John asks her who is here --# notminimal
      mkCl : NP  -> V2V -> NP -> VP -> Cl ; -- 11. John forces us to sleep --# notminimal
      mkCl : NP  -> A  ->             Cl ;  -- 12. John is old --# notminimal
      mkCl : NP  -> A  -> NP ->       Cl ;  -- 13. John is older than her --# notminimal
      mkCl : NP  -> A2 -> NP ->       Cl ;  -- 14. John is married to her --# notminimal
      mkCl : NP  -> AP ->             Cl ;  -- 15. John is very old --# notminimal
      mkCl : NP  -> N  ->             Cl ;  -- 16. John is a man --# notminimal
      mkCl : NP  -> CN ->             Cl ;  -- 17. John is an old man --# notminimal
      mkCl : NP  -> NP ->             Cl ;  -- 18. John is the man --# notminimal
      mkCl : NP  -> Adv ->            Cl ;  -- 19. John is here --# notminimal

-- As the general rule, a clause can be built from a subject noun phrase and 
-- a verb phrase.

      mkCl : NP  -> VP -> Cl ;  -- 20. John walks here --# notminimal

-- Subjectless verb phrases are used for impersonal actions.

      mkCl : V   ->  Cl ;  -- 21. it rains --# notminimal
      mkCl : VP  ->  Cl ;  -- 22. it is raining --# notminimal

-- Existentials are a special form of clauses.

      mkCl : N   ->  Cl ;  -- 23. there is a house --# notminimal
      mkCl : CN  ->  Cl ;  -- 24. there is an old houses --# notminimal
      mkCl : NP  ->  Cl ;  -- 25. there are five houses --# notminimal

-- There are also special forms in which a noun phrase or an adverb is
-- emphasized.

      mkCl : NP  -> RS -> Cl ;  -- 26. it is John that walks --# notminimal
      mkCl : Adv -> S  -> Cl    -- 27. it is here John walks --# notminimal
      } ; --# notminimal

-- Generic clauses are one with an impersonal subject.

      genericCl : VP ->  Cl ;   -- 28. one walks               --# notminimal


--2 Verb phrases and imperatives --# notminimal

--3 VP, verb phrases --# notminimal

-- A verb phrase is formed from a verb with appropriate arguments.

    mkVP : overload { --# notminimal
      mkVP : V   ->             VP ;  -- 1. walk --# notminimal
      mkVP : V2  -> NP ->       VP ;  -- 2. love her --# notminimal
      mkVP : V3  -> NP -> NP -> VP ;  -- 3. send it to her --# notminimal
      mkVP : VV  -> VP ->       VP ;  -- 4. want to walk --# notminimal
      mkVP : VS  -> S  ->       VP ;  -- 5. know that she walks --# notminimal
      mkVP : VQ  -> QS ->       VP ;  -- 6. ask if she walks --# notminimal
      mkVP : VA  -> AP ->       VP ;  -- 7. become old --# notminimal
      mkVP : V2A -> NP -> AP -> VP ;  -- 8. paint it red --# notminimal

-- The verb can also be a copula ("be"), and the relevant argument is
-- then the complement adjective or noun phrase.

      mkVP : A   ->      VP ;  --  9. be warm --# notminimal
      mkVP : AP  ->      VP ;  -- 12. be very warm --# notminimal
      mkVP : A  -> NP -> VP ;  -- 10. be older than her --# notminimal
      mkVP : A2 -> NP -> VP ;  -- 11. be married to her --# notminimal
      mkVP : N   ->      VP ;  -- 13. be a man --# notminimal
      mkVP : CN  ->      VP ;  -- 14. be an old man --# notminimal
      mkVP : NP  ->      VP ;  -- 15. be the man --# notminimal
      mkVP : Adv ->      VP ;  -- 16. be here --# notminimal

-- A verb phrase can be modified with a postverbal or a preverbal adverb.

      mkVP : VP  -> Adv -> VP ;  -- 17. sleep here --# notminimal
      mkVP : AdV -> VP  -> VP ;  -- 18. always sleep --# notminimal

-- Objectless verb phrases can be taken to verb phrases in two ways.

      mkVP : VPSlash -> NP -> VP ; -- 19. paint it black --# notminimal
      mkVP : VPSlash -> VP ;       -- 20. paint itself black --# notminimal

      } ; --# notminimal

-- Two-place verbs can be used reflexively.

      reflexiveVP : V2 -> VP ; -- 19. love itself --# notminimal

-- Two-place verbs can also be used in the passive, with or without an agent.

    passiveVP : overload { --# notminimal
      passiveVP : V2 ->       VP ;  -- 20. be loved --# notminimal
      passiveVP : V2 -> NP -> VP ;  -- 21. be loved by her --# notminimal
      } ; --# notminimal

-- A verb phrase can be turned into the progressive form.

      progressiveVP : VP -> VP ;  -- 22. be sleeping --# notminimal

--3 Imp, imperatives --# notminimal

-- Imperatives are formed from verbs and their arguments; as the general
-- rule, from verb phrases.

    mkImp : overload { --# notminimal
      mkImp : V  ->        Imp  ;   -- go --# notminimal
      mkImp : V2 -> NP ->  Imp  ;   -- take it --# notminimal
      mkImp : VP ->        Imp      -- go there now --# notminimal
      } ; --# notminimal


--2 Noun phrases and determiners --# notminimal

--3 NP, noun phrases --# notminimal

-- A noun phrases can be built from a determiner and a common noun ($CN$) .
-- For determiners, the special cases of quantifiers, numerals, integers, 
-- and possessive pronouns are provided. For common nouns, the 
-- special case of a simple common noun ($N$) is always provided.

    mkNP : overload { --# notminimal
      mkNP : Quant   -> N  -> NP ;       --  3. this men --# notminimal
      mkNP : Quant -> (Num) -> CN -> NP ; --  4. these five old men --# notminimal
      mkNP : Det     -> N  -> NP ;       --  5. the first man --# notminimal
      mkNP : Det     -> CN -> NP ;       --  6. the first old man --# notminimal
      mkNP : Numeral -> N  -> NP ;       --  7. twenty men --# notminimal
      mkNP : Numeral -> CN -> NP ;       --  8. twenty old men --# notminimal
      mkNP : Digits  -> N  -> NP ;       --  9. 45 men --# notminimal
      mkNP : Digits  -> CN -> NP ;       -- 10. 45 old men --# notminimal
      mkNP : Card    -> N  -> NP ;       -- 11. almost twenty men --# notminimal
      mkNP : Card    -> CN -> NP ;       -- 12. almost twenty old men --# notminimal
      mkNP : Pron    -> N  -> NP ;       -- 13. my man --# notminimal
      mkNP : Pron    -> CN -> NP ;       -- 14. my old man --# notminimal

-- Proper names and pronouns can be used as noun phrases.

      mkNP : PN    -> NP ;  -- 15. John --# notminimal
      mkNP : Pron  -> NP ;  -- 16. he --# notminimal

-- Determiners alone can form noun phrases.

      mkNP : Quant -> NP ;  -- 17. this --# notminimal
      mkNP : Det   -> NP ;  -- 18. these five --# notminimal

-- Determinesless mass noun phrases.

      mkNP : N ->  NP ; -- 19. beer --# notminimal
      mkNP : CN -> NP ; -- 20. beer --# notminimal

-- A noun phrase once formed can be prefixed by a predeterminer and
-- suffixed by a past participle or an adverb.

      mkNP : Predet -> NP -> NP ;  -- 21. only John --# notminimal
      mkNP : NP ->    V2  -> NP ;  -- 22. John killed --# notminimal
      mkNP : NP ->    Adv -> NP ;  -- 23. John in Paris --# notminimal
      mkNP : NP ->    RS  -> NP ;  -- 24. John, who lives in Paris --# notminimal

-- A conjunction can be formed both from two noun phrases and a longer
-- list of them.

      mkNP : Conj  -> NP -> NP -> NP ; -- 25. John and I --# notminimal
      mkNP : Conj  -> ListNP   -> NP ; -- 26. John, I, and that --# notminimal

      } ; --# notminimal


--3 Det, determiners --# notminimal

-- A determiner is either a singular or a plural one.
-- Both have a quantifier and an optional ordinal; the plural
-- determiner also has an optional numeral.

    mkDet : overload { --# notminimal
      mkDet : Quant ->                 Det ; -- 1. this --# notminimal
      mkDet : Quant ->        (Ord) -> Det ; -- 2. this first --# notminimal
      mkDet : Quant -> Num ->          Det ; -- 3. these --# notminimal
      mkDet : Quant -> Num -> (Ord) -> Det ; -- 4. these five best --# notminimal

-- Quantifiers that have both singular and plural forms are by default used as
-- singular determiners. If a numeral is added, the plural form is chosen.

      mkDet : Quant ->        Det ;  -- 5. this --# notminimal
      mkDet : Quant -> Num -> Det ;  -- 6. these five --# notminimal

-- Numerals, their special cases integers and digits, and possessive pronouns can be
-- used as determiners.

      mkDet : Card        -> Det ;  --  7. almost twenty --# notminimal
      mkDet : Numeral     -> Det ;  --  8. five --# notminimal
      mkDet : Digits      -> Det ;  --  9. 51 --# notminimal
      mkDet : Pron        -> Det ;  -- 10. my (house) --# notminimal
      mkDet : Pron -> Num -> Det    -- 11. my (houses) --# notminimal
      } ; --# notminimal

--3 Quant, quantifiers --# notminimal

-- There are definite and indefinite articles.

      the_Quant : Quant ;   -- the --# notminimal
      a_Quant   : Quant ;   -- a --# notminimal

--3 Num, cardinal numerals  --# notminimal

-- Numerals can be formed from number words ($Numeral$), their special case digits,
-- and from symbolic integers.

    mkNum : overload { --# notminimal
      mkNum : Numeral -> Num ;   -- 1. twenty --# notminimal
      mkNum : Digits  -> Num ;   -- 2. 51 --# notminimal
      mkNum : Card    -> Num ;   -- 3. almost ten --# notminimal

-- A numeral can be modified by an adnumeral.

      mkNum : AdN -> Card -> Num  -- 4. almost ten --# notminimal
      } ; --# notminimal

-- Dummy numbers are sometimes to select the grammatical number of a determiner.

      sgNum : Num ;  -- singular --# notminimal
      plNum : Num ;  -- plural --# notminimal

--3 Ord, ordinal numerals --# notminimal

-- Just like cardinals, ordinals can be formed from number words ($Numeral$)
-- and from symbolic integers.

    mkOrd : overload { --# notminimal
      mkOrd : Numeral -> Ord ;  -- 1. twentieth --# notminimal
      mkOrd : Digits  -> Ord ;  -- 2. 51st --# notminimal

-- Also adjectives in the superlative form can appear on ordinal positions.

      mkOrd : A  -> Ord  -- 3. best --# notminimal
      } ; --# notminimal

--3 AdN, adnumerals --# notminimal

-- Comparison adverbs can be used as adnumerals.

      mkAdN : CAdv -> AdN ;  -- 1. more than --# notminimal

--3 Numeral, number words --# notminimal

-- Digits and some "round" numbers are here given as shorthands.

      n1_Numeral    : Numeral ; -- 1. one --# notminimal
      n2_Numeral    : Numeral ; -- 2. two --# notminimal
      n3_Numeral    : Numeral ; -- 3. three --# notminimal
      n4_Numeral    : Numeral ; -- 4. four --# notminimal
      n5_Numeral    : Numeral ; -- 5. five --# notminimal
      n6_Numeral    : Numeral ; -- 6. six --# notminimal
      n7_Numeral    : Numeral ; -- 7. seven --# notminimal
      n8_Numeral    : Numeral ; -- 8. eight --# notminimal
      n9_Numeral    : Numeral ; -- 9. nine --# notminimal
      n10_Numeral   : Numeral ; -- 10. ten --# notminimal
      n20_Numeral   : Numeral ; -- 11. twenty --# notminimal
      n100_Numeral  : Numeral ; -- 12. hundred --# notminimal
      n1000_Numeral : Numeral ; -- 13. thousand --# notminimal

-- See $Numeral$ for the full set of constructors, and use the category 
-- $Digits$ for other numbers from one million.

   mkDigits : overload { --# notminimal
      mkDigits : Dig -> Digits ;           -- 1. 8  --# notminimal
      mkDigits : Dig -> Digits -> Digits ; -- 2. 876 --# notminimal
      } ; --# notminimal

      n1_Digits    : Digits ; -- 1. 1 --# notminimal
      n2_Digits    : Digits ; -- 2. 2 --# notminimal
      n3_Digits    : Digits ; -- 3. 3 --# notminimal
      n4_Digits    : Digits ; -- 4. 4 --# notminimal
      n5_Digits    : Digits ; -- 5. 5 --# notminimal
      n6_Digits    : Digits ; -- 6. 6 --# notminimal
      n7_Digits    : Digits ; -- 7. 7 --# notminimal
      n8_Digits    : Digits ; -- 8. 8 --# notminimal
      n9_Digits    : Digits ; -- 9. 9 --# notminimal
      n10_Digits   : Digits ; -- 10. 10 --# notminimal
      n20_Digits   : Digits ; -- 11. 20 --# notminimal
      n100_Digits  : Digits ; -- 12. 100 --# notminimal
      n1000_Digits : Digits ; -- 13. 1,000 --# notminimal

--3 Dig, single digits --# notminimal

      n0_Dig    : Dig ; -- 0. 0 --# notminimal
      n1_Dig    : Dig ; -- 1. 1 --# notminimal
      n2_Dig    : Dig ; -- 2. 2 --# notminimal
      n3_Dig    : Dig ; -- 3. 3 --# notminimal
      n4_Dig    : Dig ; -- 4. 4 --# notminimal
      n5_Dig    : Dig ; -- 5. 5 --# notminimal
      n6_Dig    : Dig ; -- 6. 6 --# notminimal
      n7_Dig    : Dig ; -- 7. 7 --# notminimal
      n8_Dig    : Dig ; -- 8. 8 --# notminimal
      n9_Dig    : Dig ; -- 9. 9 --# notminimal

      
--2 Nouns --# notminimal

--3 CN, common noun phrases --# notminimal

    mkCN : overload { --# notminimal

-- The most frequent way of forming common noun phrases is from atomic nouns $N$.

      mkCN : N -> CN ;   -- 1. house --# notminimal

-- Common noun phrases can be formed from relational nouns by providing arguments.

      mkCN : N2 -> NP ->       CN ; -- 2. mother of John --# notminimal
      mkCN : N3 -> NP -> NP -> CN ; -- 3. distance from this city to Paris --# notminimal

-- Relational nouns can also be used without their arguments.

      mkCN : N2 -> CN ;   -- 4. son --# notminimal
      mkCN : N3 -> CN ;   -- 5. flight --# notminimal

-- A common noun phrase can be modified by adjectival phrase. We give special 
-- cases of this, where one or both of the arguments are atomic.

      mkCN : A  -> N   -> CN ;   -- 6. big house --# notminimal
      mkCN : A  -> CN  -> CN ;   -- 7. big blue house --# notminimal
      mkCN : AP -> N   -> CN ;   -- 8. very big house --# notminimal
      mkCN : AP -> CN  -> CN ;   -- 9. very big blue house --# notminimal

-- A common noun phrase can be modified by a relative clause or an adverb.

      mkCN : N  -> RS  -> CN ;   -- 10. house that John loves --# notminimal
      mkCN : CN -> RS  -> CN ;   -- 11. big house that John loves --# notminimal
      mkCN : N  -> Adv -> CN ;   -- 12. house in the city --# notminimal
      mkCN : CN -> Adv -> CN ;   -- 13. big house in the city --# notminimal

-- For some nouns it makes sense to modify them by sentences, 
-- questions, or infinitives. But syntactically this is possible for
-- all nouns.

      mkCN : CN -> S   -> CN ;   -- 14. rule that John walks --# notminimal
      mkCN : CN -> QS  -> CN ;   -- 15. question if John walks --# notminimal
      mkCN : CN -> VP  -> CN ;   -- 16. reason to walk --# notminimal

-- A noun can be used in apposition to a noun phrase, especially a proper name.

      mkCN : N  -> NP  -> CN ;   -- 17. king John --# notminimal
      mkCN : CN -> NP  -> CN     -- 18. old king John --# notminimal
      } ; --# notminimal


--2 Adjectives and adverbs --# notminimal

--3 AP, adjectival phrases --# notminimal

    mkAP : overload { --# notminimal

-- Adjectival phrases can be formed from atomic adjectives by using the positive form or
-- the comparative with a complement

      mkAP : A  ->       AP ;  -- 1. old --# notminimal
      mkAP : A  -> NP -> AP ;  -- 2. older than John --# notminimal

-- Relational adjectives can be used with a complement or a reflexive

      mkAP : A2 -> NP -> AP ;  -- 3. married to her --# notminimal
      mkAP : A2 ->       AP ;  -- 4. married --# notminimal

-- Some adjectival phrases can take as complements sentences, 
-- questions, or infinitives. Syntactically this is possible for
-- all adjectives.

      mkAP : AP -> S  -> AP ;  -- 5. probable that John walks --# notminimal
      mkAP : AP -> QS -> AP ;  -- 6. uncertain if John walks --# notminimal
      mkAP : AP -> VP -> AP ;  -- 7. ready to go --# notminimal

-- An adjectival phrase can be modified by an adadjective.

      mkAP : AdA  -> A  -> AP ;  -- 8. very old --# notminimal
      mkAP : AdA  -> AP -> AP ;  -- 9. very very old --# notminimal

-- Conjunction can be formed from two or more adjectival phrases.

      mkAP : Conj  -> AP -> AP -> AP ; -- 10. old and big --# notminimal
      mkAP : Conj  -> ListAP   -> AP ; -- 11. old, big, and warm --# notminimal

      mkAP : Ord   -> AP ;             -- 12. oldest --# notminimal
      mkAP : CAdv -> AP -> NP -> AP ;  -- 13. as old as John --# notminimal
      } ; --# notminimal

      reflAP   : A2 -> AP ;            -- married to himself --# notminimal
      comparAP : A -> AP ;             -- warmer --# notminimal

--3 Adv, adverbial phrases --# notminimal

    mkAdv : overload { --# notminimal

-- Adverbs can be formed from adjectives.

      mkAdv : A -> Adv  ;   -- 1. warmly --# notminimal

-- Prepositional phrases are treated as adverbs.

      mkAdv : Prep -> NP -> Adv ;  -- 2. with John --# notminimal

-- Subordinate sentences are treated as adverbs.

      mkAdv : Subj -> S -> Adv  ;  -- 3. when John walks --# notminimal

-- An adjectival adverb can be compared to a noun phrase or a sentence.

      mkAdv : CAdv -> A -> NP -> Adv ;  -- 4. more warmly than John --# notminimal
      mkAdv : CAdv -> A -> S  -> Adv ;  -- 5. more warmly than John walks --# notminimal

-- Adverbs can be modified by adadjectives.

      mkAdv : AdA -> Adv -> Adv ;  -- 6. very warmly --# notminimal

-- Conjunction can be formed from two or more adverbial phrases.

      mkAdv : Conj  -> Adv -> Adv -> Adv ; -- 7. here and now --# notminimal
      mkAdv : Conj  -> ListAdv ->    Adv ; -- 8. with John, here and now --# notminimal
      } ; --# notminimal


--2 Questions and relatives --# notminimal

--3 QS, question sentences --# notminimal

    mkQS : overload { --# notminimal

-- Just like a sentence $S$ is built from a clause $Cl$, 
-- a question sentence $QS$ is built from
-- a question clause $QCl$ by fixing tense, anteriority and polarity. 
-- Any of these arguments can be omitted, which results in the 
-- default (present, simultaneous, and positive, respectively).

      mkQS :                              QCl -> QS ;  -- 1. who walks --# notminimal
      mkQS : (Tense) -> (Ant) -> (Pol) -> QCl -> QS ;  -- 2. who wouldn't have walked --# notminimal

-- Since 'yes-no' question clauses can be built from clauses (see below), 
-- we give a shortcut
-- for building a question sentence directly from a clause, using the defaults
-- present, simultaneous, and positive.

      mkQS : Cl -> QS  -- 3. does John walk --# notminimal
      } ; --# notminimal


--3 QCl, question clauses --# notminimal

    mkQCl : overload { --# notminimal

-- 'Yes-no' question clauses are built from 'declarative' clauses.

      mkQCl : Cl -> QCl ;   -- 1. does John walk --# notminimal
 
-- 'Wh' questions are built from interrogative pronouns in subject 
-- or object position. The former uses a verb phrase; we don't give
-- shortcuts for verb-argument sequences as we do for clauses.
-- The latter uses the 'slash' category of objectless clauses 
-- (see below); we give the common special case with a two-place verb.

      mkQCl : IP -> VP ->       QCl ;  -- 2. who walks --# notminimal
      mkQCl : IP -> NP -> V2 -> QCl ;  -- 3. whom does John love --# notminimal
      mkQCl : IP -> ClSlash  -> QCl ;  -- 4. whom does John love today --# notminimal

-- Adverbial 'wh' questions are built with interrogative adverbials, with the
-- special case of prepositional phrases with interrogative pronouns.

      mkQCl : IAdv -> Cl ->       QCl ;   -- 5. why does John walk --# notminimal
      mkQCl : Prep -> IP -> Cl -> QCl ;   -- 6. with who does John walk --# notminimal

-- An interrogative adverbial can serve as the complement of a copula.

      mkQCl : IAdv -> NP -> QCl ;  -- 7. where is John --# notminimal

-- Existentials are a special construction.

      mkQCl : IP -> QCl  -- 8. what is there --# notminimal
      } ; --# notminimal


--3 IP, interrogative pronouns --# notminimal

    mkIP : overload { --# notminimal

-- Interrogative pronouns 
-- can be formed much like noun phrases, by using interrogative quantifiers.

      mkIP : IQuant ->          N  -> IP ; -- 1. which city --# notminimal
      mkIP : IQuant -> (Num) -> CN -> IP ; -- 2. which five big cities --# notminimal

-- An interrogative pronoun can be modified by an adverb.

      mkIP : IP -> Adv -> IP               -- 3. who in Paris --# notminimal
      } ; --# notminimal

-- More interrogative pronouns and determiners can be found in $Structural$.



--3 IAdv, interrogative adverbs. --# notminimal

-- In addition to the interrogative adverbs defined in the $Structural$ lexicon, they
-- can be formed as prepositional phrases from interrogative pronouns.

    mkIAdv : Prep -> IP -> IAdv ;  -- 1. in which city --# notminimal

-- More interrogative adverbs are given in $Structural$.


--3 RS, relative sentences --# notminimal

-- Just like a sentence $S$ is built from a clause $Cl$, 
-- a relative sentence $RS$ is built from
-- a relative clause $RCl$ by fixing the tense, anteriority and polarity. 
-- Any of these arguments
-- can be omitted, which results in the default (present, simultaneous,
-- and positive, respectively).

    mkRS : overload { --# notminimal
      mkRS : RCl ->                              RS ; -- 1. that walk --# notminimal
      mkRS : (Tense) -> (Ant) -> (Pol) -> RCl -> RS ; -- 2. that wouldn't have walked --# notminimal
      mkRS : Conj -> RS -> RS -> RS ;  -- 3. who walks and whom I know    --# notminimal
      mkRS : Conj -> ListRS  -> RS ; -- 4. who walks, whose son runs, and whom I know    --# notminimal
      } ; --# notminimal

--3 RCl, relative clauses --# notminimal

    mkRCl : overload { --# notminimal

-- Relative clauses are built from relative pronouns in subject or object position.
-- The former uses a verb phrase; we don't give
-- shortcuts for verb-argument sequences as we do for clauses.
-- The latter uses the 'slash' category of objectless clauses (see below); 
-- we give the common special case with a two-place verb.

      mkRCl : RP -> VP ->       RCl ;  -- 1. that walk --# notminimal
      mkRCl : RP -> NP -> V2 -> RCl ;  -- 2. which John loves --# notminimal
      mkRCl : RP -> ClSlash  -> RCl ;  -- 3. which John loves today --# notminimal

-- There is a simple 'such that' construction for forming relative 
-- clauses from clauses.

      mkRCl : Cl -> RCl  -- 4. such that John loves her --# notminimal
      } ; --# notminimal

--3 RP, relative pronouns --# notminimal

-- There is an atomic relative pronoun

      which_RP : RP ;   -- 1. which --# notminimal

-- A relative pronoun can be made into a kind of a prepositional phrase.

      mkRP : Prep -> NP -> RP -> RP ;  -- 2. all the houses in which --# notminimal


--3 ClSlash, objectless sentences --# notminimal

    mkClSlash : overload { --# notminimal

-- Objectless sentences are used in questions and relative clauses.
-- The most common way of constructing them is by using a two-place verb
-- with a subject but without an object.

      mkClSlash : NP -> V2 -> ClSlash ;  -- 1. (whom) John loves --# notminimal

-- The two-place verb can be separated from the subject by a verb-complement verb.

      mkClSlash : NP -> VV -> V2 -> ClSlash ;  -- 2. (whom) John wants to see --# notminimal

-- The missing object can also be the noun phrase in a prepositional phrase.

      mkClSlash : Cl -> Prep -> ClSlash ;  -- 3. (with whom) John walks --# notminimal

-- An objectless sentence can be modified by an adverb.

      mkClSlash : ClSlash -> Adv -> ClSlash  -- 4. (whom) John loves today --# notminimal
      } ; --# notminimal


--3 VPSlash, verb phrases missing an object --# notminimal

    mkVPSlash : overload { --# notminimal

-- This is the deep level of many-argument predication, permitting extraction.

      mkVPSlash : V2  -> VPSlash ;        -- 1. (whom) (John) loves --# notminimal
      mkVPSlash : V3  -> NP -> VPSlash ;  -- 2. (whom) (John) gives an apple --# notminimal
      mkVPSlash : V2A -> AP -> VPSlash ;  -- 3. (whom) (John) paints red --# notminimal
      mkVPSlash : V2Q -> QS -> VPSlash ;  -- 4. (whom) (John) asks who sleeps --# notminimal
      mkVPSlash : V2S -> S  -> VPSlash ;  -- 5. (whom) (John) tells that we sleep --# notminimal
      mkVPSlash : V2V -> VP -> VPSlash ;  -- 6. (whom) (John) forces to sleep --# notminimal

      } ; --# notminimal


--2 Lists for coordination --# notminimal

-- The rules in this section are very uniform: a list can be built from two or more
-- expressions of the same category.

--3 ListS, sentence lists --# notminimal

    mkListS : overload { --# notminimal
     mkListS : S -> S ->     ListS ;  -- 1. he walks, I run --# notminimal
     mkListS : S -> ListS -> ListS    -- 2. John walks, I run, you sleep --# notminimal
     } ; --# notminimal

--3 ListAdv, adverb lists --# notminimal

    mkListAdv : overload { --# notminimal
     mkListAdv : Adv -> Adv ->     ListAdv ;  -- 1. here, now --# notminimal
     mkListAdv : Adv -> ListAdv -> ListAdv    -- 2. to me, here, now --# notminimal
     } ; --# notminimal

--3 ListAP, adjectival phrase lists --# notminimal

    mkListAP : overload { --# notminimal
     mkListAP : AP -> AP ->     ListAP ;  -- 1. old, big --# notminimal
     mkListAP : AP -> ListAP -> ListAP    -- 2. old, big, warm --# notminimal
     } ; --# notminimal
  

--3 ListNP, noun phrase lists --# notminimal

    mkListNP : overload { --# notminimal
     mkListNP : NP -> NP ->     ListNP ;  -- 1. John, I --# notminimal
     mkListNP : NP -> ListNP -> ListNP    -- 2. John, I, that --# notminimal
     } ; --# notminimal

--3 ListRS, relative clause lists --# notminimal

    mkListRS : overload { --# notminimal
     mkListRS : RS -> RS ->     ListRS ;  -- 1. who walks, who runs --# notminimal
     mkListRS : RS -> ListRS -> ListRS    -- 2. who walks, who runs, who sleeps --# notminimal
     } ; --# notminimal

--.  --# notminimal
-- Definitions

    mkAP = overload {   
      mkAP : A -> AP           -- warm   
                                         =    PositA   ;   
      mkAP : A -> NP -> AP     -- warmer than Spain   
                                         =    ComparA  ;   
      mkAP : A2 -> NP -> AP    -- divisible by 2 --# notminimal
                                         =    ComplA2  ; --# notminimal
      mkAP : A2 -> AP          -- divisible --# notminimal
                                         =    UseA2   ; --# notminimal
      mkAP : AP -> S -> AP    -- great that she won --# notminimal
                                         =  \ap,s -> SentAP ap (EmbedS s) ; --# notminimal
      mkAP : AP -> QS -> AP    -- great that she won --# notminimal
                                         =  \ap,s -> SentAP ap (EmbedQS s) ; --# notminimal
      mkAP : AP -> VP -> AP    -- great that she won --# notminimal
                                         =  \ap,s -> SentAP ap (EmbedVP s) ; --# notminimal
      mkAP : AdA -> A -> AP   -- very uncertain   
                                         =   \x,y -> AdAP x (PositA y) ;
      mkAP : AdA -> AP -> AP   -- very uncertain   
                                         =    AdAP ;
      mkAP : Conj -> AP -> AP -> AP --# notminimal
                                        = \c,x,y -> ConjAP c (BaseAP x y) ; --# notminimal
      mkAP : Conj -> ListAP -> AP --# notminimal
                                        = \c,xy -> ConjAP c xy ; --# notminimal
      mkAP : Ord   -> AP --# notminimal
        = AdjOrd ; --# notminimal
      mkAP : CAdv -> AP -> NP -> AP  --# notminimal
        = CAdvAP ; --# notminimal
      } ;   

      reflAP = ReflA2 ; --# notminimal
      comparAP = UseComparA ; --# notminimal

    mkAdv = overload {   
      mkAdv : A -> Adv                   -- quickly   
                                         =    PositAdvAdj  ;   
      mkAdv : Prep -> NP -> Adv          -- in the house   
                                         =    PrepNP       ;   
      mkAdv : CAdv -> A -> NP -> Adv   -- more quickly than John --# notminimal
                                         =    ComparAdvAdj   ; --# notminimal
      mkAdv : CAdv -> A -> S -> Adv    -- more quickly than he runs --# notminimal
                                         =    ComparAdvAdjS  ; --# notminimal
      mkAdv : AdA -> Adv -> Adv               -- very quickly --# notminimal
                                         =    AdAdv   ; --# notminimal
      mkAdv : Subj -> S -> Adv                 -- when he arrives --# notminimal
                                         =    SubjS ; --# notminimal
      mkAdv : Conj -> Adv -> Adv -> Adv --# notminimal
                                         = \c,x,y -> ConjAdv c (BaseAdv x y) ; --# notminimal
      mkAdv : Conj -> ListAdv -> Adv --# notminimal
                                         = \c,xy -> ConjAdv c xy ; --# notminimal
      } ;   

    mkCl = overload {   
      mkCl : NP -> VP -> Cl           -- John wants to walk   
                                         =    PredVP  ;   
      mkCl : NP -> V -> Cl           -- John walks   
                                         =    \s,v -> PredVP s (UseV v);   
      mkCl : NP -> V2 -> NP -> Cl    -- John uses it   
                                         =    \s,v,o -> PredVP s (ComplV2 v o);   
      mkCl : NP -> V3 -> NP -> NP -> Cl   
                                         =    \s,v,o,i -> PredVP s (ComplV3 v o i);   

      mkCl : NP  -> VV -> VP -> Cl  --# notminimal
        = \s,v,vp -> PredVP s (ComplVV v vp) ; --# notminimal
      mkCl : NP  -> VS -> S  -> Cl --# notminimal
        = \s,v,p -> PredVP s (ComplVS v p) ; --# notminimal
      mkCl : NP  -> VQ -> QS -> Cl --# notminimal
        = \s,v,q -> PredVP s (ComplVQ v q) ; --# notminimal
      mkCl : NP  -> VA -> AP -> Cl --# notminimal
        = \s,v,q -> PredVP s (ComplVA v q) ; --# notminimal
      mkCl : NP  -> V2A -> NP -> AP -> Cl --# notminimal
        = \s,v,n,q -> PredVP s (ComplV2A v n q) ; --# notminimal
      mkCl : NP  -> V2S -> NP -> S -> Cl          --n14 --# notminimal
        = \s,v,n,q -> PredVP s (ComplSlash (SlashV2S v q) n) ; --# notminimal
      mkCl : NP  -> V2Q -> NP -> QS -> Cl         --n14 --# notminimal
        = \s,v,n,q -> PredVP s (ComplSlash (SlashV2Q v q) n) ; --# notminimal
      mkCl : NP  -> V2V -> NP -> VP -> Cl         --n14 --# notminimal
        = \s,v,n,q -> PredVP s (ComplSlash (SlashV2V v q) n) ; --# notminimal

      mkCl : VP -> Cl          -- it rains --# notminimal
                                         =    ImpersCl   ; --# notminimal
      mkCl : NP  -> RS -> Cl   -- it is you who did it --# notminimal
                                         =    CleftNP    ; --# notminimal
      mkCl : Adv -> S  -> Cl   -- it is yesterday she arrived --# notminimal
                                         =    CleftAdv   ; --# notminimal
      mkCl : N -> Cl           -- there is a house --# notminimal
                                   = \y -> ExistNP (DetArtSg IndefArt (UseN y)) ; --# notminimal
      mkCl : CN -> Cl          -- there is a house --# notminimal
                                         =    \y -> ExistNP (DetArtSg IndefArt y) ; --# notminimal
      mkCl : NP -> Cl          -- there is a house --# notminimal
                                         =    ExistNP    ; --# notminimal
      mkCl : NP -> AP -> Cl    -- John is nice and warm 
	                      =     \x,y -> PredVP x (UseComp (CompAP y)) ; 
      mkCl : NP -> A  -> Cl    -- John is warm   
                      =     \x,y -> PredVP x (UseComp (CompAP (PositA y))) ;   
      mkCl : NP -> A -> NP -> Cl -- John is warmer than Mary   
                    =     \x,y,z -> PredVP x (UseComp (CompAP (ComparA y z))) ; 
      mkCl : NP -> A2 -> NP -> Cl -- John is married to Mary --# notminimal
	            =     \x,y,z -> PredVP x (UseComp (CompAP (ComplA2 y z))) ; --# notminimal
      mkCl : NP -> NP -> Cl    -- John is the man   
                                =    \x,y -> PredVP x (UseComp (CompNP y)) ;   
      mkCl : NP -> CN -> Cl    -- John is a man   
	    =    \x,y -> PredVP x (UseComp (CompNP (DetArtSg IndefArt y))) ;   
      mkCl : NP -> N -> Cl    -- John is a man   
	 =    \x,y -> PredVP x (UseComp (CompNP (DetArtSg IndefArt (UseN y)))) ;   
      mkCl : NP -> Adv -> Cl   -- John is here   
	    =    \x,y -> PredVP x (UseComp (CompAdv y)) ;   
      mkCl : V -> Cl   -- it rains --# notminimal
	    =    \v -> ImpersCl (UseV v) --# notminimal
      } ;   

    genericCl : VP -> Cl = GenericCl ; --# notminimal


    mkNP = overload {   
      mkNP : Art -> Num -> Ord -> CN -> NP   -- the five best men --n14 --# notminimal
          =  \d,nu,ord,cn -> DetCN (DetArtOrd d nu ord) (cn) ; --# notminimal
      mkNP : Art -> Ord -> CN -> NP   -- the best men --n14 --# notminimal
          =  \d,ord,cn -> DetCN (DetArtOrd d sgNum ord) (cn) ; --# notminimal
      mkNP : Art -> Card -> CN -> NP   -- the five men --n14 --# notminimal
          =  \d,nu,cn -> DetCN (DetArtCard d nu) (cn) ; --# notminimal

      mkNP : Art -> Num -> Ord -> N -> NP   -- the five best men --n14 --# notminimal
          =  \d,nu,ord,cn -> DetCN (DetArtOrd d nu ord) (UseN cn) ; --# notminimal
      mkNP : Art -> Ord -> N -> NP   -- the best men --n14 --# notminimal
          =  \d,ord,cn -> DetCN (DetArtOrd d sgNum ord) (UseN cn) ; --# notminimal
      mkNP : Art -> Card -> N -> NP   -- the five men --n14 --# notminimal
          =  \d,nu,cn -> DetCN (DetArtCard d nu) (UseN cn) ; --# notminimal

      mkNP : CN -> NP  -- old beer --n14   
          = MassNP ;   
      mkNP : N -> NP  -- beer --n14   
          = \n -> MassNP (UseN n) ;   

      mkNP : Det -> CN -> NP      -- the old man   
          =  DetCN    ;   
      mkNP : Det -> N -> NP       -- the man   
          =  \d,n -> DetCN d (UseN n)   ;   
      mkNP : Quant -> NP            -- this  --# notminimal
          =  \q -> DetNP (DetQuant q sgNum) ;  --# notminimal
      mkNP : Quant -> Num -> NP            -- this  --# notminimal
          =  \q,n -> DetNP (DetQuant q n) ;  --# notminimal
      mkNP : Det -> NP            -- this --# notminimal
          =  DetNP ; --# notminimal
      mkNP : Card -> CN -> NP     -- forty-five old men   
	  =  \d,n -> DetCN (DetArtCard IndefArt d) n ;   
      mkNP : Card -> N -> NP       -- forty-five men   
	  =  \d,n -> DetCN (DetArtCard IndefArt d) (UseN n) ;   
      mkNP : Quant -> CN -> NP   
          = \q,n -> DetCN (DetQuant q NumSg) n ;   
      mkNP : Quant -> N  -> NP   
          = \q,n -> DetCN (DetQuant q NumSg) (UseN n) ;   
      mkNP : Quant -> Num -> CN -> NP   
          = \q,nu,n -> DetCN (DetQuant q nu) n ;  
      mkNP : Quant -> Num -> N  -> NP   
          = \q,nu,n -> DetCN (DetQuant q nu) (UseN n) ;  

      mkNP : Pron    -> CN -> NP --# notminimal
          = \p,n -> DetCN (DetQuant (PossPron p) NumSg) n ; --# notminimal
      mkNP : Pron    -> N  -> NP  --# notminimal
          = \p,n -> DetCN (DetQuant (PossPron p) NumSg) (UseN n) ; --# notminimal

      mkNP : Numeral -> CN -> NP      -- 51 old men   
	  = \d,n -> DetCN (DetArtCard IndefArt (NumNumeral d)) n ;  

      mkNP : Numeral -> N -> NP       -- 51 men  
	  = \d,n -> DetCN (DetArtCard IndefArt (NumNumeral d)) (UseN n) ;  
      mkNP : Digits -> CN -> NP      -- 51 old men --# notminimal
	  = \d,n -> DetCN (DetArtCard IndefArt (NumDigits d)) n ; --# notminimal

      mkNP : Digits -> N -> NP       -- 51 men --# notminimal
	  = \d,n -> DetCN (DetArtCard IndefArt (NumDigits d)) (UseN n) ; --# notminimal

      mkNP : Digit -> CN -> NP    ---- obsol --# notminimal
	  = \d,n -> DetCN (DetArtCard IndefArt (NumNumeral (num (pot2as3 (pot1as2 (pot0as1 (pot0 d))))))) n ; --# notminimal
      mkNP : Digit -> N -> NP     ---- obsol --# notminimal
	  = \d,n -> DetCN (DetArtCard IndefArt (NumNumeral (num (pot2as3 (pot1as2 (pot0as1 (pot0 d))))))) (UseN n) ; --# notminimal

      mkNP : PN -> NP             -- John  
                                         =    UsePN    ;  
      mkNP : Pron -> NP           -- he  
                                         =    UsePron  ;  
      mkNP : Predet -> NP -> NP  -- only the man  
                                         =    PredetNP  ;  
      mkNP : NP -> V2  -> NP      -- the number squared --# notminimal
                                         =    PPartNP  ; --# notminimal
      mkNP : NP -> Adv -> NP      -- Paris at midnight --# notminimal
                                         =    AdvNP ; --# notminimal
      mkNP : NP -> RS -> NP --# notminimal
            = RelNP ; --# notminimal
      mkNP : Conj -> NP -> NP -> NP --# notminimal
                                        = \c,x,y -> ConjNP c (BaseNP x y) ; --# notminimal
      mkNP : Conj -> ListNP -> NP --# notminimal
                                        = \c,xy -> ConjNP c xy ; --# notminimal
-- backward compat
      mkNP : QuantSg -> CN -> NP  --# notminimal
          = \q,n -> DetCN (DetQuant q NumSg) n ; --# notminimal
      mkNP : QuantPl -> CN -> NP  --# notminimal
          = \q,n -> DetCN (DetQuant q NumPl) n ; --# notminimal

      } ;  

    mkDet = overload {  

      mkDet : Art -> Card -> Det   -- the five men --n14 --# notminimal
          =  \d,nu -> (DetArtCard d nu) ; --# notminimal



      mkDet : Quant ->  Ord -> Det     -- this best man --# notminimal
        = \q,o -> DetQuantOrd q NumSg o  ; --# notminimal
      mkDet : Quant ->  Det       -- this man  
        = \q -> DetQuant q NumSg  ;  
      mkDet : Quant -> Num -> Ord -> Det     -- these five best men --# notminimal
        = DetQuantOrd  ; --# notminimal
      mkDet : Quant -> Num -> Det       -- these five man  
        = DetQuant ;  
      mkDet : Num ->  Det       -- forty-five men  
	= DetArtCard IndefArt ;  
      mkDet : Digits -> Det          -- 51 (men) --# notminimal
	= \d -> DetArtCard IndefArt (NumDigits d) ; --# notminimal
      mkDet : Numeral -> Det  --  
	= \d -> DetArtCard IndefArt (NumNumeral d) ;  
      mkDet : Pron -> Det      -- my (house) --# notminimal
        = \p -> DetQuant (PossPron p) NumSg ; --# notminimal
      mkDet : Pron -> Num -> Det   -- my (houses) --# notminimal
        = \p -> DetQuant (PossPron p) ; --# notminimal
      } ;  


      the_Art : Art = DefArt ;     -- the  
      a_Art   : Art = IndefArt ;   -- a  

    ---- obsol --# notminimal

    mkQuantSg : Quant -> QuantSg = SgQuant ; --# notminimal
    mkQuantPl : Quant -> QuantPl = PlQuant ; --# notminimal

      this_QuantSg : QuantSg = mkQuantSg this_Quant ; --# notminimal
      that_QuantSg : QuantSg = mkQuantSg that_Quant ;  --# notminimal

--      the_QuantPl  : QuantPl = mkQuantPl defQuant ; 
--      a_QuantPl    : QuantPl = mkQuantPl indefQuant ; 
      these_QuantPl : QuantPl = mkQuantPl this_Quant ;  --# notminimal
      those_QuantPl : QuantPl = mkQuantPl that_Quant ;  --# notminimal

    sgNum : Num = NumSg ;  
    plNum : Num = NumPl ;  


    mkCard = overload {  
      mkCard : Numeral -> Card  
        = NumNumeral ;  
      mkCard : Digits -> Card         -- 51  --# notminimal
        = NumDigits ;  --# notminimal
      mkCard : AdN -> Card -> Card --# notminimal
        = AdNum --# notminimal
      } ;

    mkNum = overload {  
      mkNum : Numeral -> Num  
        = \d -> NumCard (NumNumeral d) ;  
      mkNum : Digits -> Num         -- 51 --# notminimal
        = \d -> NumCard (NumDigits d)      ; --# notminimal
      mkNum : Digit -> Num --# notminimal
        = \d -> NumCard (NumNumeral (num (pot2as3 (pot1as2 (pot0as1 (pot0 d)))))) ; --# notminimal

      mkNum : Card -> Num = NumCard ;  
      mkNum : AdN -> Card -> Num = \a,c -> NumCard (AdNum a c) --# notminimal
      } ;  

    singularNum : Num                -- [no num] --# notminimal
                                         =    NumSg       ; --# notminimal
    pluralNum : Num                -- [no num] --# notminimal
                                         =    NumPl       ; --# notminimal

    mkOrd = overload { --# notminimal
      mkOrd : Numeral -> Ord = OrdNumeral ; --# notminimal
      mkOrd : Digits -> Ord         -- 51st --# notminimal
                                         =    OrdDigits      ; --# notminimal
      mkOrd : Digit -> Ord       -- fifth --# notminimal
                                         =    \d ->  --# notminimal
        OrdNumeral (num (pot2as3 (pot1as2 (pot0as1 (pot0 d))))) ; --# notminimal
      mkOrd : A -> Ord           -- largest --# notminimal
                                         =    OrdSuperl --# notminimal
      } ; --# notminimal

    n1_Numeral = num (pot2as3 (pot1as2 (pot0as1 pot01))) ;  
    n2_Numeral = num (pot2as3 (pot1as2 (pot0as1 (pot0 n2)))) ;  
    n3_Numeral = num (pot2as3 (pot1as2 (pot0as1 (pot0 n3)))) ;  
    n4_Numeral = num (pot2as3 (pot1as2 (pot0as1 (pot0 n4)))) ;  
    n5_Numeral = num (pot2as3 (pot1as2 (pot0as1 (pot0 n5)))) ;  
    n6_Numeral = num (pot2as3 (pot1as2 (pot0as1 (pot0 n6)))) ;  
    n7_Numeral = num (pot2as3 (pot1as2 (pot0as1 (pot0 n7)))) ;  
    n8_Numeral = num (pot2as3 (pot1as2 (pot0as1 (pot0 n8)))) ;  
    n9_Numeral = num (pot2as3 (pot1as2 (pot0as1 (pot0 n9)))) ;  
    n10_Numeral = num (pot2as3 (pot1as2 pot110)) ;  
    n20_Numeral = num (pot2as3 (pot1as2 (pot1 n2))) ;  
    n100_Numeral = num (pot2as3 (pot2 pot01)) ;  
    n1000_Numeral = num (pot3 (pot1as2 (pot0as1 pot01))) ;  

    n1_Digits = IDig D_1 ; --# notminimal
    n2_Digits = IDig D_2 ; --# notminimal
    n3_Digits = IDig D_3 ; --# notminimal
    n4_Digits = IDig D_4 ; --# notminimal
    n5_Digits = IDig D_5 ; --# notminimal
    n6_Digits = IDig D_6 ; --# notminimal
    n7_Digits = IDig D_7 ; --# notminimal
    n8_Digits = IDig D_8 ; --# notminimal
    n9_Digits = IDig D_9 ; --# notminimal
    n10_Digits = IIDig D_1 (IDig D_0) ; --# notminimal
    n20_Digits = IIDig D_2 (IDig D_0) ; --# notminimal
    n100_Digits = IIDig D_1 (IIDig D_0 (IDig D_0)) ; --# notminimal
    n1000_Digits = IIDig D_1 (IIDig D_0 (IIDig D_0 (IDig D_0))) ; --# notminimal


    mkAdN : CAdv -> AdN = AdnCAdv ;                  -- more (than five) --# notminimal

   mkDigits = overload { --# notminimal
      mkDigits : Dig -> Digits = IDig ;  --# notminimal
      mkDigits : Dig -> Digits -> Digits = IIDig ;  --# notminimal
      } ; --# notminimal

      n0_Dig = D_0 ; --# notminimal
      n1_Dig = D_1 ; --# notminimal
      n2_Dig    = D_2 ; --# notminimal
      n3_Dig    = D_3 ; --# notminimal
      n4_Dig    = D_4 ; --# notminimal
      n5_Dig    = D_5 ; --# notminimal
      n6_Dig        = D_6 ; --# notminimal
      n7_Dig        = D_7 ; --# notminimal
      n8_Dig        = D_8 ; --# notminimal
      n9_Dig        = D_9 ; --# notminimal




    mkCN = overload {  
      mkCN : N  -> CN            -- house  
                                         =    UseN     ;  
      mkCN : N2 -> NP -> CN      -- son of the king --# notminimal
                                         =    ComplN2  ; --# notminimal
      mkCN : N3 -> NP -> NP -> CN      -- flight from Moscow (to Paris) --# notminimal
                                         =    \f,x -> ComplN2 (ComplN3 f x)  ; --# notminimal
      mkCN : N2 -> CN            -- son --# notminimal
                                         =    UseN2    ; --# notminimal
      mkCN : N3 -> CN            -- flight --# notminimal
                                         =    \n -> UseN2 (Use2N3 n)    ; --# notminimal
      mkCN : AP -> CN  -> CN     -- nice and big blue house  
                                         =    AdjCN    ;  
      mkCN : AP ->  N  -> CN     -- nice and big house  
                                         =    \x,y -> AdjCN x (UseN y) ;  
      mkCN : CN -> AP  -> CN     -- nice and big blue house --# notminimal
                                         =    \x,y -> AdjCN y x    ; --# notminimal
      mkCN :  N -> AP  -> CN     -- nice and big house --# notminimal
                                         =    \x,y -> AdjCN y (UseN x)    ; --# notminimal
      mkCN :  A -> CN  -> CN     -- big blue house  
	                                 =    \x,y -> AdjCN (PositA x) y;  
      mkCN :  A ->  N  -> CN     -- big house  
	                                 =  \x,y -> AdjCN (PositA x) (UseN y);  
      mkCN : CN -> RS  -> CN     -- house that John owns --# notminimal
                                         =    RelCN    ; --# notminimal
      mkCN :  N -> RS  -> CN     -- house that John owns --# notminimal
                                         =    \x,y -> RelCN (UseN x) y   ; --# notminimal
      mkCN : CN -> Adv -> CN     -- house on the hill --# notminimal
                                         =    AdvCN    ; --# notminimal
      mkCN :  N -> Adv -> CN     -- house on the hill --# notminimal
                                         =    \x,y -> AdvCN (UseN x) y  ; --# notminimal
      mkCN : CN -> S   -> CN     -- fact that John smokes --# notminimal
                                         =    \cn,s -> SentCN cn (EmbedS s) ; --# notminimal
      mkCN : CN -> QS  -> CN     -- question if John smokes --# notminimal
                                         =    \cn,s -> SentCN cn (EmbedQS s) ; --# notminimal
      mkCN : CN -> VP  -> CN     -- reason to smoke --# notminimal
                                         =    \cn,s -> SentCN cn (EmbedVP s) ; --# notminimal
      mkCN : CN -> NP  -> CN     -- number x, numbers x and y --# notminimal
                                         =    ApposCN ; --# notminimal
      mkCN :  N -> NP  -> CN     -- number x, numbers x and y --# notminimal
                                         =    \x,y -> ApposCN (UseN x) y --# notminimal
      } ;  


    mkPhr = overload {  
      mkPhr : PConj -> Utt -> Voc -> Phr   -- But go home my friend --# notminimal
                                         =    PhrUtt    ; --# notminimal
      mkPhr : Utt -> Voc -> Phr --# notminimal
                                         =    \u,v -> PhrUtt NoPConj u v ; --# notminimal
      mkPhr : PConj -> Utt -> Phr --# notminimal
                                         =    \u,v -> PhrUtt u v NoVoc ; --# notminimal
      mkPhr : Utt -> Phr   -- Go home  
                                         =    \u -> PhrUtt NoPConj u NoVoc   ;  
      mkPhr : S -> Phr   -- I go home  
         = \s -> PhrUtt NoPConj (UttS s) NoVoc ;  
      mkPhr : Cl -> Phr   -- I go home  
         = \s -> PhrUtt NoPConj (UttS (TUseCl TPres ASimul PPos s)) NoVoc ;  
      mkPhr : QS -> Phr   -- I go home  
                 =    \s -> PhrUtt NoPConj (UttQS s) NoVoc ;  
      mkPhr : Imp -> Phr   -- I go home  
                 =    \s -> PhrUtt NoPConj (UttImpSg PPos s) NoVoc   

      } ;  

    mkPConj : Conj -> PConj = PConjConj ; --# notminimal
    noPConj : PConj = NoPConj ; --# notminimal

    mkVoc   : NP -> Voc  = VocNP ; --# notminimal
    noVoc   : Voc  = NoVoc ; --# notminimal

    positivePol : Pol = PPos ;  
    negativePol : Pol = PNeg ;  

    simultaneousAnt : Ant = ASimul ;  --# notminimal
    anteriorAnt : Ant = AAnter ; --# notpresent --# notminimal

    presentTense     : Tense = TPres ; --# notminimal
    pastTense        : Tense = TPast ; --# notpresent --# notminimal
    futureTense      : Tense = TFut ;  --# notpresent --# notminimal
    conditionalTense : Tense = TCond ; --# notpresent --# notminimal

  param ImpForm = IFSg | IFPl | IFPol ; --# notminimal

  oper --# notminimal
    singularImpForm  : ImpForm = IFSg ; --# notminimal
    pluralImpForm  : ImpForm = IFPl ; --# notminimal
    politeImpForm : ImpForm = IFPol ; --# notminimal

    mkUttImp : ImpForm -> Pol -> Imp -> Utt = \f,p,i -> case f of { --# notminimal
      IFSg  => UttImpSg p i ; --# notminimal
      IFPl  => UttImpPl p i ; --# notminimal
      IFPol => UttImpPol p i --# notminimal
      } ; --# notminimal

    mkUtt = overload {  
      mkUtt : S -> Utt                     -- John walked  
                                         =    UttS      ;  
      mkUtt : Cl -> Utt                     -- John walks  
	                                 =    \c -> UttS (TUseCl TPres ASimul PPos c);  
      mkUtt : QS -> Utt                    -- is it good  
                                         =    UttQS     ;  
      mkUtt : QCl -> Utt                   -- does John walk  
	                                 =    \c -> UttQS (TUseQCl TPres ASimul PPos c);  
      mkUtt : ImpForm -> Pol -> Imp -> Utt -- don't help yourselves --# notminimal
                                         =    mkUttImp  ; --# notminimal
      mkUtt : ImpForm ->        Imp -> Utt -- help yourselves --# notminimal
                                         =  \f -> mkUttImp f PPos ; --# notminimal
      mkUtt : Pol -> Imp -> Utt            -- (don't) help yourself  
                                         =    UttImpSg  ;  
      mkUtt : Imp -> Utt                    -- help yourself  
                                         =    UttImpSg PPos  ;  
      mkUtt : IP   -> Utt                   -- who  
                                         =    UttIP    ;  
      mkUtt : IAdv -> Utt                   -- why  
                                         =    UttIAdv  ;  
      mkUtt : NP   -> Utt                   -- this man  
                                         =    UttNP    ;  
      mkUtt : Adv  -> Utt                   -- here  
                                         =    UttAdv   ;  
      mkUtt : VP   -> Utt                   -- to sleep --# notminimal
                                         =    UttVP  --# notminimal
      } ;  

    lets_Utt : VP -> Utt = ImpPl1 ; --# notminimal

    mkQCl = overload {  

      mkQCl : Cl -> QCl                    -- does John walk  
                                         =    QuestCl      ;  
      mkQCl : IP -> VP -> QCl              -- who walks  
                                         =    QuestVP      ;  
      mkQCl : IP -> ClSlash -> QCl           -- who does John love --# notminimal
                                         =    QuestSlash   ; --# notminimal
      mkQCl : IP -> NP -> V2 -> QCl           -- who does John love --# notminimal
                                         =    \ip,np,v -> QuestSlash ip (SlashVP np (SlashV2a v))  ; --# notminimal
      mkQCl : IAdv -> Cl -> QCl            -- why does John walk  
                                         =    QuestIAdv    ;  
      mkQCl : Prep -> IP -> Cl -> QCl      -- with whom does John walk --# notminimal
                                         =    \p,ip -> QuestIAdv (PrepIP p ip)  ; --# notminimal
      mkQCl : IAdv -> NP -> QCl   -- where is John --# notminimal
                                         =    \a -> QuestIComp (CompIAdv a)   ; --# notminimal
      mkQCl : IP -> QCl         -- which houses are there --# notminimal
                                         =    ExistIP  --# notminimal

      } ;  

    mkIP = overload {  
      mkIP : IDet -> CN -> IP          -- which songs --# notminimal
                                         = IdetCN ; --# notminimal
      mkIP : IDet -> N -> IP      -- which song --# notminimal
                                         =    \i,n -> IdetCN i (UseN n)  ; --# notminimal
      mkIP : IQuant -> CN -> IP          -- which songs  
                     =  \i,n -> IdetCN (IdetQuant i NumSg) n ;  
      mkIP : IQuant -> Num -> CN -> IP          -- which songs --# notminimal
                     =  \i,nu,n -> IdetCN (IdetQuant i nu) n ; --# notminimal
      mkIP : IQuant -> N -> IP      -- which song  
                     =  \i,n -> IdetCN (IdetQuant i NumSg) (UseN n) ;  
      mkIP : IP -> Adv -> IP                  -- who in Europe --# notminimal
                                         =    AdvIP --# notminimal
      } ;  

    mkIDet = overload { 
      mkIDet : IQuant -> Num -> IDet          -- which (songs) --# notminimal
                     =  \i,nu -> IdetQuant i nu ; --# notminimal
      mkIDet : IQuant -> IDet      
                     =  \i -> IdetQuant i NumSg ; 
      } ; 

    whichSg_IDet : IDet = IdetQuant which_IQuant NumSg ; --# notminimal
    whichPl_IDet : IDet = IdetQuant which_IQuant NumPl ; --# notminimal

    what_IP : IP = whatSg_IP ;  
    who_IP : IP = whoSg_IP ;  
    which_IDet : IDet = whichSg_IDet ; --# notminimal

    mkIAdv : Prep -> IP -> IAdv = PrepIP ; --# notminimal

    mkRCl = overload { --# notminimal
      mkRCl : Cl -> RCl              -- such that John loves her --# notminimal
                                         =    RelCl     ; --# notminimal
      mkRCl : RP -> VP -> RCl        -- who loves John --# notminimal
                                         =    RelVP     ; --# notminimal
      mkRCl : RP -> ClSlash -> RCl     -- whom John loves --# notminimal
                                         =    RelSlash ; --# notminimal
      mkRCl : RP -> NP -> V2 -> RCl     -- whom John loves --# notminimal
                                         =  \rp,np,v2 -> RelSlash rp (SlashVP np (SlashV2a v2)) ; --# notminimal
      } ; --# notminimal

    which_RP : RP                        -- which --# notminimal
                                         =    IdRP   ; --# notminimal
    mkRP : Prep -> NP -> RP -> RP    -- all the roots of which --# notminimal
                                         =    FunRP --# notminimal
      ; --# notminimal

    mkClSlash = overload { --# notminimal
      mkClSlash : NP -> V2 -> ClSlash        -- (whom) he sees --# notminimal
               = \np,v2 -> SlashVP np (SlashV2a v2) ; --# notminimal
      mkClSlash : NP -> VV -> V2 -> ClSlash  -- (whom) he wants to see --# notminimal
               = \np,vv,v2 -> SlashVP np (SlashVV vv (SlashV2a v2))  ; --# notminimal
      mkClSlash : ClSlash -> Adv -> ClSlash    -- (whom) he sees tomorrow --# notminimal
                                         =    AdvSlash   ; --# notminimal
      mkClSlash : Cl -> Prep -> ClSlash      -- (with whom) he walks --# notminimal
                                         =    SlashPrep --# notminimal
      } ; --# notminimal

    mkImp = overload {  
      mkImp : VP -> Imp                -- go --# notminimal
                                         =    ImpVP      ; --# notminimal
      mkImp : V  -> Imp  
                                         =    \v -> ImpVP (UseV v)  ;  
      mkImp : V2 -> NP -> Imp  
                                         =    \v,np -> ImpVP (ComplV2 v np)  
      } ;  

    mkS = overload {  
      mkS : Cl  -> S  
                                         =    TUseCl TPres ASimul PPos ;  
      mkS : Tense -> Cl -> S  --# notminimal
	                                 =    \t -> TUseCl t ASimul PPos ; --# notminimal
      mkS : Ant -> Cl -> S --# notminimal
                                         =    \a -> TUseCl TPres a PPos ; --# notminimal
      mkS : Pol -> Cl -> S  
                                         =    \p -> TUseCl TPres ASimul p ;  
      mkS : Tense -> Ant -> Cl -> S --# notminimal
                                         =    \t,a -> TUseCl t a PPos ; --# notminimal
      mkS : Tense -> Pol -> Cl -> S --# notminimal
                                         =    \t,p -> TUseCl t ASimul p ; --# notminimal
      mkS : Ant -> Pol -> Cl -> S --# notminimal
                                         =    \a,p -> TUseCl TPres a p ; --# notminimal
      mkS : Tense -> Ant -> Pol -> Cl  -> S --# notminimal
                                         =    \t,a -> TUseCl t a ; --# notminimal
      mkS : Conj -> S -> S -> S --# notminimal
                                        = \c,x,y -> ConjS c (BaseS x y) ; --# notminimal
      mkS : Conj -> ListS -> S --# notminimal
                                        = \c,xy -> ConjS c xy ; --# notminimal
      mkS : Adv -> S -> S  --# notminimal
                                        = AdvS --# notminimal

      } ;  

    mkQS = overload {  

      mkQS : QCl  -> QS  
                                         =    TUseQCl TPres ASimul PPos ;  
      mkQS : Tense -> QCl -> QS  --# notminimal
	                                 =    \t -> TUseQCl t ASimul PPos ; --# notminimal
      mkQS : Ant -> QCl -> QS --# notminimal
                                         =    \a -> TUseQCl TPres a PPos ; --# notminimal
      mkQS : Pol -> QCl -> QS  
                                         =    \p -> TUseQCl TPres ASimul p ;  
      mkQS : Tense -> Ant -> QCl -> QS --# notminimal
                                         =    \t,a -> TUseQCl t a PPos ; --# notminimal
      mkQS : Tense -> Pol -> QCl -> QS --# notminimal
                                         =    \t,p -> TUseQCl t ASimul p ; --# notminimal
      mkQS : Ant -> Pol -> QCl -> QS --# notminimal
                                         =    \a,p -> TUseQCl TPres a p ; --# notminimal
      mkQS : Tense -> Ant -> Pol -> QCl -> QS --# notminimal
                                         =    TUseQCl  ; --# notminimal
      mkQS : Cl   -> QS                    
	                                 =    \x -> TUseQCl TPres ASimul PPos (QuestCl x)  
      } ;  


    mkRS = overload { --# notminimal

      mkRS : RCl  -> RS --# notminimal
                                         =    TUseRCl TPres ASimul PPos ; --# notminimal
      mkRS : Tense -> RCl -> RS  --# notminimal
	                                 =    \t -> TUseRCl t ASimul PPos ; --# notminimal
      mkRS : Ant -> RCl -> RS --# notminimal
                                         =    \a -> TUseRCl TPres a PPos ; --# notminimal
      mkRS : Pol -> RCl -> RS --# notminimal
                                         =    \p -> TUseRCl TPres ASimul p ; --# notminimal
      mkRS : Tense -> Ant -> RCl -> RS --# notminimal
                                         =    \t,a -> TUseRCl t a PPos ; --# notminimal
      mkRS : Tense -> Pol -> RCl -> RS --# notminimal
                                         =    \t,p -> TUseRCl t ASimul p ; --# notminimal
      mkRS : Ant -> Pol -> RCl -> RS --# notminimal
                                         =    \a,p -> TUseRCl TPres a p ; --# notminimal
      mkRS : Tense -> Ant -> Pol -> RCl -> RS --# notminimal
                                         =    TUseRCl ; --# notminimal
      mkRS : Conj -> RS -> RS -> RS --# notminimal
                                        = \c,x,y -> ConjRS c (BaseRS x y) ; --# notminimal
      mkRS : Conj -> ListRS -> RS --# notminimal
                                        = \c,xy -> ConjRS c xy ; --# notminimal

      } ; --# notminimal

  param Punct = PFullStop | PExclMark | PQuestMark ;  

  oper  
    emptyText : Text = TEmpty ;       -- [empty text] --# notminimal

    fullStopPunct  : Punct = PFullStop ; -- .  
    questMarkPunct : Punct = PQuestMark ; -- ?  
    exclMarkPunct  : Punct = PExclMark ; -- !  


    mkText = overload {  
      mkText : Phr -> Punct -> Text -> Text = --# notminimal
        \phr,punct,text -> case punct of { --# notminimal
          PFullStop => TFullStop phr text ;  --# notminimal
          PExclMark => TExclMark phr text ; --# notminimal
          PQuestMark => TQuestMark phr text --# notminimal
          } ; --# notminimal
      mkText : Phr -> Punct -> Text =  
        \phr,punct -> case punct of {  
          PFullStop => TFullStop phr TEmpty ;  
          PExclMark => TExclMark phr TEmpty ;  
          PQuestMark => TQuestMark phr TEmpty  
          } ;  
      mkText : Phr -> Text            -- John walks. --# notminimal
                                         =    \x -> TFullStop x TEmpty  ; --# notminimal
      mkText : Utt -> Text  
	                                 =    \u -> TFullStop (PhrUtt NoPConj u NoVoc) TEmpty ;  
      mkText : S -> Text  
	                                 =    \s -> TFullStop (PhrUtt NoPConj (UttS s) NoVoc) TEmpty;  
      mkText : Cl -> Text  
	                                 =    \c -> TFullStop (PhrUtt NoPConj (UttS (TUseCl TPres ASimul PPos c)) NoVoc) TEmpty;  
      mkText : QS -> Text  
	                                 =    \q -> TQuestMark (PhrUtt NoPConj (UttQS q) NoVoc) TEmpty ;  
      mkText : Imp -> Text  
	                                =    \i -> TExclMark (PhrUtt NoPConj (UttImpSg PPos i) NoVoc) TEmpty;  
      mkText : Pol -> Imp -> Text  --# notminimal
	                                 =    \p,i -> TExclMark (PhrUtt NoPConj (UttImpSg p i) NoVoc) TEmpty; --# notminimal
      mkText : Phr -> Text -> Text    -- John walks. ... --# notminimal
                                         =    TFullStop ; --# notminimal
      mkText : Text -> Text -> Text  --# notminimal
        = \t,u -> {s = t.s ++ u.s ; lock_Text = <>} ; --# notminimal
      } ;  

    mkVP = overload { 
      mkVP : V   -> VP                -- sleep 
                                         =    UseV      ; 
      mkVP : V2  -> NP -> VP          -- use it 
                                         =    ComplV2   ; 
      mkVP : V3  -> NP -> NP -> VP    -- send a message to her --# notminimal
                                         =    ComplV3   ; --# notminimal
      mkVP : VV  -> VP -> VP          -- want to run --# notminimal
                                         =    ComplVV   ; --# notminimal
      mkVP : VS  -> S  -> VP          -- know that she runs --# notminimal
                                         =    ComplVS   ; --# notminimal
      mkVP : VQ  -> QS -> VP          -- ask if she runs --# notminimal
                                         =    ComplVQ   ; --# notminimal
      mkVP : VA  -> AP -> VP          -- look red --# notminimal
                                         =    ComplVA   ; --# notminimal
      mkVP : V2A -> NP -> AP -> VP    -- paint the house red --# notminimal
                                         =    ComplV2A  ; --# notminimal

      mkVP : V2S -> NP -> S  -> VP          --n14 --# notminimal
        = \v,n,q -> (ComplSlash (SlashV2S v q) n) ; --# notminimal
      mkVP : V2Q -> NP -> QS -> VP         --n14 --# notminimal
        = \v,n,q -> (ComplSlash (SlashV2Q v q) n) ; --# notminimal
      mkVP : V2V -> NP -> VP -> VP         --n14 --# notminimal
        = \v,n,q -> (ComplSlash (SlashV2V v q) n) ; --# notminimal

      mkVP : A -> VP               -- be warm --# notminimal
                                         =    \a -> UseComp (CompAP (PositA a)) ; --# notminimal
      mkVP : A -> NP -> VP -- John is warmer than Mary --# notminimal
	                                =     \y,z -> (UseComp (CompAP (ComparA y z))) ; --# notminimal
      mkVP : A2 -> NP -> VP -- John is married to Mary --# notminimal
	                                =     \y,z -> (UseComp (CompAP (ComplA2 y z))) ; --# notminimal
      mkVP : AP -> VP               -- be warm --# notminimal
                                         =    \a -> UseComp (CompAP a)   ; --# notminimal
      mkVP : NP -> VP               -- be a man --# notminimal
                                         =    \a -> UseComp (CompNP a)   ; --# notminimal
      mkVP : CN -> VP               -- be a man --# notminimal
                             = \y -> (UseComp (CompNP (DetArtSg IndefArt y))) ; --# notminimal
      mkVP : N -> VP               -- be a man --# notminimal
                             = \y -> (UseComp (CompNP (DetArtSg IndefArt (UseN y)))) ; --# notminimal
      mkVP : Adv -> VP               -- be here --# notminimal
                                         =    \a -> UseComp (CompAdv a)   ; --# notminimal
      mkVP : VP -> Adv -> VP          -- sleep here 
                                         =    AdvVP     ; 
      mkVP : AdV -> VP -> VP          -- always sleep --# notminimal
                                         =    AdVVP ; --# notminimal
      mkVP : VPSlash -> NP -> VP          -- always sleep --# notminimal
                                         =    ComplSlash ; --# notminimal
      mkVP : VPSlash -> VP --# notminimal
        = ReflVP --# notminimal
      } ; 

  reflexiveVP   : V2 -> VP = \v -> ReflVP (SlashV2a v) ; --# notminimal

    mkVPSlash = overload { --# notminimal

      mkVPSlash : V2  -> VPSlash         -- 1. (whom) (John) loves --# notminimal
        = SlashV2a ; --# notminimal
      mkVPSlash : V3  -> NP -> VPSlash   -- 2. (whom) (John) gives an apple --# notminimal
        = Slash2V3 ; --# notminimal
      mkVPSlash : V2A -> AP -> VPSlash   -- 3. (whom) (John) paints red --# notminimal
        = SlashV2A ; --# notminimal
      mkVPSlash : V2Q -> QS -> VPSlash   -- 4. (whom) (John) asks who sleeps --# notminimal
        = SlashV2Q ; --# notminimal
      mkVPSlash : V2S -> S  -> VPSlash   -- 5. (whom) (John) tells that we sleep --# notminimal
        = SlashV2S ; --# notminimal
      mkVPSlash : V2V -> VP -> VPSlash   -- 6. (whom) (John) forces to sleep --# notminimal
        = SlashV2V ; --# notminimal
      } ; --# notminimal



  passiveVP = overload { --# notminimal
      passiveVP : V2 ->       VP = PassV2 ; --# notminimal
      passiveVP : V2 -> NP -> VP = \v,np ->  --# notminimal
        (AdvVP (PassV2 v) (PrepNP by8agent_Prep np)) --# notminimal
      } ; --# notminimal
  progressiveVP : VP -> VP = ProgrVP ; --# notminimal


  mkListS = overload { --# notminimal
   mkListS : S -> S -> ListS = BaseS ; --# notminimal
   mkListS : S -> ListS -> ListS = ConsS --# notminimal
   } ; --# notminimal

  mkListAP = overload { --# notminimal
   mkListAP : AP -> AP -> ListAP = BaseAP ; --# notminimal
   mkListAP : AP -> ListAP -> ListAP = ConsAP --# notminimal
   } ; --# notminimal

  mkListAdv = overload { --# notminimal
   mkListAdv : Adv -> Adv -> ListAdv = BaseAdv ; --# notminimal
   mkListAdv : Adv -> ListAdv -> ListAdv = ConsAdv --# notminimal
   } ; --# notminimal

  mkListNP = overload { --# notminimal
   mkListNP : NP -> NP -> ListNP = BaseNP ; --# notminimal
   mkListNP : NP -> ListNP -> ListNP = ConsNP --# notminimal
   } ; --# notminimal

  mkListRS = overload { --# notminimal
   mkListRS : RS -> RS -> ListRS = BaseRS ; --# notminimal
   mkListRS : RS -> ListRS -> ListRS = ConsRS --# notminimal
   } ; --# notminimal


------------ for backward compatibility --# notminimal

    QuantSg : Type = Quant ** {isSg : {}} ; --# notminimal
    QuantPl : Type = Quant ** {isPl : {}} ; --# notminimal
    SgQuant : Quant -> QuantSg = \q -> q ** {isSg = <>} ; --# notminimal
    PlQuant : Quant -> QuantPl = \q -> q ** {isPl = <>} ; --# notminimal

-- Pre-1.4 constants defined

  DetSg : Quant -> Ord -> Det = \q -> DetQuantOrd q NumSg ; --# notminimal
  DetPl : Quant -> Num -> Ord -> Det = DetQuantOrd ; --# notminimal

  ComplV2 : V2 -> NP -> VP = \v,np -> ComplSlash (SlashV2a v) np ;
  ComplV2A : V2A -> NP -> AP -> VP = \v,np,ap -> ComplSlash (SlashV2A v ap) np ; 
  ComplV3 : V3 -> NP -> NP -> VP = \v,o,d -> ComplSlash (Slash3V3 v o) d ; 

    that_NP : NP = DetNP (DetQuant that_Quant sgNum) ; --# notminimal
    this_NP : NP = DetNP (DetQuant this_Quant sgNum) ; --# notminimal
    those_NP : NP = DetNP (DetQuant that_Quant plNum) ; --# notminimal
    these_NP : NP = DetNP (DetQuant this_Quant plNum) ; --# notminimal


{- --# notminimal
-- The definite and indefinite articles are commonly used determiners.

      defSgDet   : Det ;  -- 11. the (house) --# notminimal
      defPlDet   : Det ;  -- 12. the (houses) --# notminimal
      indefSgDet : Det ;  -- 13. a (house) --# notminimal
      indefPlDet : Det ;  -- 14. (houses) --# notminimal


--3 QuantSg, singular quantifiers --# notminimal

-- From quantifiers that can have both forms, this constructor 
-- builds the singular form.

      mkQuantSg : Quant -> QuantSg ;  -- 1. this --# notminimal

-- The mass noun phrase constructor is treated as a singular quantifier.

      massQuant : QuantSg ;  -- 2. (mass terms) --# notminimal

-- More singular quantifiers are available in the $Structural$ module.
-- The following singular cases of quantifiers are often used.

      the_QuantSg  : QuantSg ; -- 3. the --# notminimal
      a_QuantSg    : QuantSg ; -- 4. a --# notminimal
      this_QuantSg : QuantSg ; -- 5. this --# notminimal
      that_QuantSg : QuantSg ; -- 6. that --# notminimal


--3 QuantPl, plural quantifiers --# notminimal

-- From quantifiers that can have both forms, this constructor 
-- builds the plural form.

      mkQuantPl : Quant -> QuantPl ;  -- 1. these --# notminimal

-- More plural quantifiers are available in the $Structural$ module.   
-- The following plural cases of quantifiers are often used.

      the_QuantPl   : QuantPl ; -- 2. the --# notminimal
      a_QuantPl     : QuantPl ; -- 3. (indefinite plural) --# notminimal
      these_QuantPl : QuantPl ; -- 4. these --# notminimal
      those_QuantPl : QuantPl ; -- 5. those --# notminimal
-} --# notminimal

-- export needed, since not in Cat

  ListAdv : Type = Grammar.ListAdv ; --# notminimal
  ListAP : Type = Grammar.ListAP ; --# notminimal
  ListNP : Type = Grammar.ListNP ; --# notminimal
  ListS : Type = Grammar.ListS ; --# notminimal

-- bw to 1.4

    Art : Type = Quant ; 
      the_Art : Art = DefArt ;   -- the --# notminimal
      a_Art : Art  = IndefArt ;   -- a --# notminimal

    the_Quant : Quant = DefArt ;   -- the --# notminimal
    a_Quant : Quant  = IndefArt ;   -- a --# notminimal

    DetArtSg : Art -> CN -> NP = \a -> DetCN (DetQuant a sgNum) ; 
    DetArtPl : Art -> CN -> NP = \a -> DetCN (DetQuant a plNum) ; 

    DetArtOrd : Quant -> Num -> Ord -> Det = DetQuantOrd ; --# notminimal
    DetArtCard : Art -> Card -> Det = \a,c -> DetQuant a (NumCard c) ; 

    TUseCl  : Tense -> Ant -> Pol ->  Cl ->  S = \t,a -> UseCl  (TTAnt t a) ; 
    TUseQCl : Tense -> Ant -> Pol -> QCl -> QS = \t,a -> UseQCl (TTAnt t a) ; 
    TUseRCl : Tense -> Ant -> Pol -> RCl -> RS = \t,a -> UseRCl (TTAnt t a) ; --# notminimal

}