> 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-solution/selmo-solution-en/selmo-as-a-process/selmo-digital-twin-process/mathematical-and-logical-basis.md).

# Mathematical and logical basis

The simulation is based on a combination of **logical state machines** and **mathematical mappings of functions**:

| Level                                     | Logic / Mathematics                                            | Description                             |
| ----------------------------------------- | -------------------------------------------------------------- | --------------------------------------- |
| **Logic layer (Selmo)**                   | State machine                                                  | describes deterministic sequence        |
| **System layer (bit-control)**            | Binary logic / Boolean algebra                                 | describes states and reactions of zones |
| **Function layer (parameter / function)** | Mathematical equations                                         | describes the behavior within a state   |
| **CMZ / MXIC / Interlock**                | Rule-based logic                                               | describes safety-oriented behavior      |
| **Physical models (optional)**            | Differential equations, empirical models, neural approximation | describes real reaction dynamics        |

> Important: The PTF provides the logical structure and the boundary conditions –\
> the simulation extends these with mathematical or empirical models.


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