When searching online for object oriented concepts such as the composite design pattern I often found them represented in the LePUS3 notation. I am not really familiar with this
modeling language.
Is it something I should prefer over UML?
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LePUS3 was designed to be an improvement over other modeling languages and is specifically designed to be an enhancement to UML. The benefits of LePUS3 are laid out in the paper that introduced it, and you can see a summary of these benefits on the preview of the scientific paper show at the link.
I’ll reproduce the paper’s stated advantages here: