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An extension of models of Axiomatic Domain Theory to models of Synthetic Domain Theory Export

Computer Science Logic (1997), pp. 129-149.

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domain-theory

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We relate certain models of Axiomatic Domain Theory (ADT) and Synthetic Domain Theory (SDT). On the one hand, we introduce a class of non-elementary models of SDT and show that the domains in them yield models of ADT. On the other hand, for each model of ADT in a wide class we construct a model of SDT such that the domains in it provide a model of ADT which conservatively extends the original model.


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