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The part of the sentence 'the program has ceased' is correct and usable in written English.
You can use it to indicate that something has stopped, usually in the context of a computer program, process, or activity. For example: Following a system error, the program has ceased to function correctly and must be restarted.
Exact(1)
The implication that the program has ceased to function is false.
Similar(59)
Five remote communities were visited: four where the Program was currently operating and one where the Program had ceased to operate (three Top End communities and two in Central Australia).
Even now at the start of the 21st century, decades after the dawn of the contemporary feminist movement saw a rise in women's orchestras and gender-based musicological studies and long after the inclusion of a single piece by a female composer on a concert program has ceased to be remarkable, a whole concert of music by women, performed by women, still feels unusual.
There is no evidence supporting longer term effects once an exercise program has ceased [ 33].
Recrudescence of the disease long-term is still possible given the right conditions; therefore long-term monitoring strategies that can be easily integrated into ongoing national surveillance systems for disease and/or vaccine coverage offer the best option for surveillance once the currently defined end-points have been met and elimination programs have ceased.
Clear, the largest company to leverage the Registered Traveler program in the U.S., has "ceased operation" as of 11 pm PST today and their parent company, Verified Identity Pass, Inc., is in the deadpool.
Note: In an email received after this story was published, Coca-Cola confirmed the contents of this story including the fact the company has ceased The Founders program and David Butler has left the company.
In the mean time, the alcohol abuse has ceased resolutely.
The celebrating has ceased.
Once the resistance has ceased, the force must cease".
Yet suddenly the doubling has ceased.
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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