Kernels, truth and satisfaction

James H. Schmerl · Bulletin of the Polish Academy of Sciences Mathematics · 2019

The Kotlarski–Krajewski–Lachlan Theorem says that every resplendent model of Peano Arithmetic has a full satisfaction class. Enayat and Visser gave a more model-theoretic proof of this theorem. We redo their proof using kernels of directed graphs.

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