[TXAZ]

Giuliani cut the crime rate by arresting habitual / career criminals for anything, or at least putting them back into the overburdened court system with requested bails he knew most charged couldn't meet.

There was no magic: By removing known rapist from the streets for jaywalking (literally), long-rap-sheet-burglars for loud mufflers/ littering or lesser, he turned a sizable % of the bad guys into pre-trial detainees when they couldn't make the sizeable bails prosecutors requested.

That was a classic case of rabid enforcement of existing laws.
Gee what a novel idea.