The phrase "a more stringent procedure" is correct and usable in written English.
It can be used when discussing rules, guidelines, or methods that are stricter or more rigorous than previous ones.
Example: "In order to ensure safety, the company has implemented a more stringent procedure for handling hazardous materials."
Alternatives: "a stricter process" or "a tougher protocol".
After introducing the more stringent procedure for registration, Kobach lost his suit to compel the federal election officials to change the federal forms to require citizenship documentation.
As the state of indels is much more sensitive to alignment problems, we used a more stringent qualification procedure for these.
In a more stringent selection procedure to find genes that are specifically induced by oxygen, only significant 2-fold changes (P < 0·05) were considered.
An interesting observation was made by senior students, who noted that, although a more stringent assessment procedure might make them study harder, it would not necessarily promote retention of anatomical knowledge.
We have more stringent procedures when the state revokes a driver's license.
The Sarbanes-Oxley Act of 2002 requires more stringent procedures for top executives to sign off on financial statements.
One consequence of this episode should be more stringent procedures in the human-resources department or even sanctions against the administrator who failed to scrutinize this résumé.
The outbreak subsided in October, 2003, after even more stringent procedures for decontamination and hygiene were instituted: patients kept in isolation, and staff and visitors required to wear gloves, masks, and gowns at all times.
Discussing the suit against the Environmental Protection Agency and the Army Corps of Engineers, Mr. Manchin said that the more stringent procedures were unlawful and had harmed the state by slowing new mining projects to a trickle, and he accused the Obama administration of trying "to destroy our coal industry and way of life".
