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The phrase "a system based on" is correct and usable in written English.
It can be used to describe a framework or structure that relies on certain principles, theories, or components.
Example: "The new software is a system based on artificial intelligence and machine learning algorithms."
Alternatives: "a framework built on" or "a model founded on".
Exact(60)
Powerlessness breeds mistrust, and a system based on mistrust benefits no one.
A system based on feature detection using one camera is suggested by Smith et al. [9].
In doing so, one obtains a system based on refutation (= proof of denial) rather than proof.
Additionally, we compare our NMF-based system with a system based on Gaussian mixtures.
"We're moving from a system based on rights - housing benefit - to one based on grants, where you bid for funds.
Systemic Functional Linguistics (SFL) maps language as a system based on choices made by human agents.
He favors a system based on merit.
We had a system based on nepotism and seniority.
Why has a system based on local political decision prevailed?
We still have a system based on the Poor Law".
"It's a system based on trust," Mr. Noppanant said.
More suggestions(18)
a sector based on
a regulation based on
a mechanism based on
a procedure based on
a leadership based on
a scheme based on
a course based on
a computer based on
a cost based on
a philosophy based on
a solution based on
a question based on
a project based on
a section based on
a composition based on
a guideline based on
a menu based on
a tool based on
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com