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Results tagged with model-theory
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user 4137
Model theory is the branch of mathematical logic which deals with the connection between a formal language and its interpretations, or models.
7
votes
Accepted
Does model-complete in a language with a constant symbol imply EQ?
Per JDH's suggestion, I'll turn my earlier comment into an answer.
Assuming $T$ to be model-complete, then whenever $M$, $N$ and $A$ are all models of $T$, it would certainly follow from $A \subset …
- 2,305
3
votes
Is there a general theory of models that has as instances classical FOL, classical propositi...
What you are after is institution-independent model theory, for which Diaconsecu has a recent textbook account. Here the bare concept of an institution is basically that of a logical system absent par …
- 2,305
5
votes
Accepted
Alternate proof of Morley's theorem?
Regarding (2), some evidence that Baldwin refers to some sort of $L_{\omega_1 \omega}$ version of Morley's theorem, rather than just an alternate proof making use of $L_{\omega_1 \omega}$ machinery, c …
- 2,305
4
votes
Accepted
Reference Request: Non-Standard Models of PA
Richard Kaye's book Models of Peano Arithmetic is good and accessible. And I know that what Frank said in his comment, about its availability as a pdf online, is indeed true; though like Frank, I shan …
- 2,305