The phrase "allowed to shrink" is correct and usable in written English.
It can be used in contexts where permission or capability to decrease in size or amount is being discussed.
Example: "The budget is allowed to shrink if necessary to accommodate unforeseen expenses."
Alternatives: "permitted to decrease" or "authorized to reduce".
We're not allowed to shrink".
Hard choices have been made in the past — the once-powerful American steel industry was allowed to shrink to a shadow of its former self.
Mr. Romney argued that the Navy and Air Force has been allowed to shrink too far; Mr. Obama sarcastically responded that the military also had fewer horses and bayonets than in decades past.
Over the years, however, these precautionary inventories were allowed to shrink, mainly because everyone came to believe that countries suffering crop failures could always import the food they needed.
Although the economy seems to be recovering strongly, Mr. Wien said he believed that much of the growth was coming as manufacturers rebuilt inventories that they had allowed to shrink during last year's recession.
The political maneuverings over the budget and the bond act must not be allowed to shrink the present land-acquisition allotment so much that an environmentally enthusiastic public will come to look on the Environmental Quality Bond Act of 1990 as a fraud.
Of course, working with a synchrotron source would lead to higher signal magnitude which could allow to further shrink the capillary radius, and a sub-100-nm lateral resolution could probably be reached.
That allowed developers to shrink the size of the pits and lands correspondingly and squeeze the spiral track closer together.
Finally, Fermat allowed ε to shrink to zero, thus obtaining a mathematical expression for the true tangent line.
Moody's said an economic recovery had allowed Brazil to shrink its budget deficit, reducing the chances of a debt default.
Israel reaped enormous benefits from its peace with Egypt, which allowed it to shrink its ground forces, and now wants Cairo to restore calm and order to Sinai and keep Hamas-ruled Gaza in check.
