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The phrase "a criterion to" is correct and usable in written English.
It can be used when specifying a standard or principle for evaluating or judging something.
Example: "We need to establish a criterion to assess the effectiveness of our marketing strategies."
Alternatives: "a standard for" or "a measure to".
Exact(59)
League officials use it as a criterion to evaluate coaches at the end of each season.
It's a criterion to remember on the weekend of action-oriented snap judgments.
In this case Δϕ is no longer a criterion to evaluate the destructive interference.
As a consequence, it becomes necessary a criterion to choose such locations.
A criterion to guarantee the asymptotic stability of the corresponding nominal system is established.
The change of absorbance was used as a criterion to evaluate the reduction efficiency.
Limiting oxygen index (LOI) is a criterion to screen inflammable materials.
Moreover, Calzada et al. introduced a criterion to determine the plasma equilibrium conditions [19, 20].
Therefore, it is necessary to adopt a criterion to select events.
Cost may also be a criterion to be taken into consideration.
The adjusted R2 from the regression was used as a criterion to predict accuracy.
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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