Cohen \(\cal M22\): Plotkin's Model I | Historical notes
Description: Let \(T\) be a complete first order theory with equality which has infinite models and is \(\aleph_0\)-categorical
Parameter(s): This model does not depend on parameters
All Forms Known to be True in \(\cal M22\):
0,
All Forms Known to be False in \(\cal M22\):
430-p,
427,
426,
407,
391,
359,
347,
345,
335-n,
334,
333,
292,
286,
264,
262,
261,
260,
259,
258,
257,
256,
255,
239,
218,
214,
202,
192,
181,
176,
174-alpha,
168,
164,
161,
152,
149,
147,
133,
129,
114,
113,
112,
109,
101,
100,
95-F,
91,
90,
89,
87-alpha,
86-alpha,
71-alpha,
67,
66,
44,
43,
41,
40,
39,
28-p,
20,
9,
8,
7,
4,
3,
2,
1,
A minimial list of forms whose truth in this model imply all others that are true in this model: 0
Falses that are implied by others list: 9-91-176
References for models trues falses list: References Plotkin [1969], \cite{1981}, Felgner [1975], notes 18 and 24.
Back