Abstract
We prove that for every simple theory T (or even simple thick compact abstract theory) there is a (unique) compact abstract theory T𝔓 whose saturated models are the lovely pairs of T. Independence-theoretic results that were proved in [ppv:pairs] when T𝔓 is a first order theory are proved for the general case: in particular T𝔓 is simple and we characterise independence.
Citation
Itay Ben-Yaacov. "Lovely pairs of models: the non first order case." J. Symbolic Logic 69 (3) 641 - 662, September 2004. https://doi.org/10.2178/jsl/1096901759
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