The embedding preserves computable Scott sentences and their complexities between graphs and labeled trees, making bounded Scott rank subclasses of the image Borel.
Optimal Syn- tactic Definitions of Back-and-Forth Types
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Computable Scott Sentences and the Friedman-Stanley embedding
The embedding preserves computable Scott sentences and their complexities between graphs and labeled trees, making bounded Scott rank subclasses of the image Borel.