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The phrase "a classified problem" is correct and usable in written English.
It can be used in contexts where a problem is categorized or designated as confidential or restricted in nature.
Example: "The team is currently working on a classified problem that requires a high level of security clearance."
Alternatives: "a confidential issue" or "a restricted matter".
Exact(1)
Similarly, problem decomposition (particularly in concert with abstraction), could isolate unclassified sub-problems from classified problems, allowing unclassified sources to contribute knowledge or reasoning to a classified problem.
Similar(59)
Also, (Dyckhoff 1990) developed a classification scheme for cutting stock problems through a large variety of applications reported in the literature so that classified problems using four characteristics; namely, dimensionality, kind of assignment, assortment of large objects and assortment of small items.
It will be used principally to solve secret military problems, but before it is placed in a classified environment, it will also be used to explore scientific problems like climate change.
Bush administration officials saw FEMA as ill-equipped to handle a governmentwide emergency, and they cited problems with the agency's execution of a classified training exercise in May 2008 as evidence.
"It's a classified zone".
Thom Shanker reports from a classified commando base in Afghanistan.
(Even the telephone book is a classified document marked "secret").
A classified United States intelligence report corroborated some significant Georgian findings.
Every morning, I start with a classified intelligence brief.
It was a report which is a classified report.
Why not have a "classified" section like the newspapers?
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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