It might be a tough day to hail a cab in Cambridge.

Many of the city's taxi drivers are staging a one-day strike to call for stepped-up regulation of ride-hailing services such as Uber and Lyft.

Cabbies began gathering Monday morning outside City Hall. They are calling on city officials to impose on the ride-hailing services the same kind of rules that the taxi industry faces.

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The Cambridge City Council considered an ordinance last year to increase regulation of the companies, but later decided to defer to the state Legislature.

Gov. Charlie Baker filed a bill in April that would require drivers for ride-hailing services to undergo state criminal background checks, and the companies to carry at least $1 million in liability insurance for each ride.