Author

Lothar Sebastian Krapp

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Open access Jun 2025

A Subfield of the Reals Defining a Non-Measurable Set

In the area of Tame Geometry, different model-theoretic tameness conditions are established and their relationships are analyzed. We construct a subfield K of the real numbers that lacks several such tameness properties. As our main result, we present a first-order formula in the language of rings defining a se...

Lothar Sebastian Krapp, Matthieu Vermeil, Laura Wirth · Publications mathématiques... · 2 citations

#natural language process... Preprint Sep 2026

Contributions to the hierarchy of probabilistic languages

We reconsider the theory of probabilistic formal languages generated by n-gram models and by probabilistic context-free grammars (PCFGs). The expected hierarchy of probabilistic grammars is established by proving that every probabilistic language generated by an n-gram model is also generated by some PCFG, while some p...

Lothar Sebastian Krapp, Remo Nitschke · 1 citation