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The phrase "a contradictory operator" is correct and usable in written English.
It can be used in contexts related to logic, mathematics, or programming where an operator produces contradictory results or outcomes.
Example: "In this equation, the use of a contradictory operator leads to an inconsistent solution."
Alternatives: "a negating operator" or "a conflicting operator".
Exact(1)
Not every natural language negation is a contradictory operator, or even a logical operator.
Similar(59)
Here is a contradictory situation.
Binoche is a contradictory character.
Certainly Qadri is a contradictory man.
But hotel officials gave a contradictory account.
"There's a contradictory expectation these days.
Above all, Cannes is a contradictory experience.
Watson, 23, was a contradictory figure.
A contradictory profile... Katherine Mansfield, circa 1920.
One result was a contradictory postwar world.
Fincher was a contradictory character.
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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