> For the complete documentation index, see [llms.txt](https://infosys.selmotech.com/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://infosys.selmotech.com/selmo-as-a-process/selmo-digital-twin-process/mathematische-und-logische-basis.md).

# Mathematische und logische Basis

Die Simulation basiert auf einer Kombination aus **logischen Zustandsautomaten** und **mathematischen Abbildungen von Funktionen**:

| Ebene                                     | Logik / Mathematik                                                   | Beschreibung                                       |
| ----------------------------------------- | -------------------------------------------------------------------- | -------------------------------------------------- |
| **Logic-Layer (Selmo)**                   | Zustandsautomat (State Machine)                                      | beschreibt deterministischen Ablauf                |
| **System-Layer (Bit-Control)**            | Binäre Logik / boolesche Algebra                                     | beschreibt Zustände und Reaktionen von Zonen       |
| **Function-Layer (Parameter / Funktion)** | Mathematische Gleichungen                                            | beschreibt das Verhalten innerhalb eines Zustandes |
| **CMZ / MXIC / Interlock**                | Regelbasierte Logik                                                  | beschreibt sicherheitsgerichtetes Verhalten        |
| **Physikalische Modelle (optional)**      | Differenzialgleichungen, empirische Modelle, neuronale Approximation | beschreibt reale Reaktionsdynamik                  |

> Wichtig: Der PTF liefert die logische Struktur und die Grenzbedingungen –\
> die Simulation erweitert diese um mathematische oder empirische Modelle.


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