The phrase "attrition through" is correct and usable in written English.
It can be used in contexts discussing the gradual reduction of something, often in relation to personnel or resources, typically due to natural causes rather than direct action.
Example: "The company faced significant attrition through employee turnover, impacting productivity and morale."
Alternatives: "loss due to" or "reduction via".
The intent, according to the State Legislature, is "attrition through enforcement".
The Arizona law advances what it calls a policy of "attrition through enforcement".
But you don't mention another alternative, attrition through enforcement, that is working to put an end to illegal immigration.
They require racial profiling, and, because their purpose is "attrition through enforcement," their goal effectively is separation by race.
But the intent of the law is to harass Hispanics and to drive out immigrants by "attrition through enforcement".
Its stated intention was "attrition through enforcement," and it was full of provisions designed to persuade unauthorized immigrants to leave the state, or not to enter it.
"Filling vacancies was constrained by past federal and agency-wide hiring freezes and normal attrition through retirements and employee transfers," the statement said.
It begins with a grandiose statement of its purpose: "to make attrition through enforcement the public policy of all state and local government agencies in Arizona".
"The intent of this act is to make attrition through enforcement the public policy of all state and local government agencies in Arizona," it says.
The Justice Department did argue in its suit that the law "will cause the detention and harassment of authorized visitors, immigrants, and citizens who do not have or carry identification documents specified by the statute, or who otherwise will be swept into the ambit of S.B. 1070's 'attrition through enforcement' approach".
"[B]y refusing to respect Congress's designation of the Executive Branch to take the lead in the enforcement of the federal immigration laws, and by requiring all Arizona officers to adhere instead to the State's own policy of 'attrition through enforcement,' Arizona has exceeded the permissible bounds of cooperation," Verrilli wrote.
