Both men have made a good beginning in working out a way to create a quasi-public corporation that would lead the rebuilding process.

That journey raised eyebrows among good-government lobbyists when the Mayor used a quasi-public corporation to solicit contributions from companies that do business with the city.

Commissioner Rudolph J. Rinaldi proposed a quasi-public corporation that would have gradually taken over many activities now done by city employees.

That's because Connecticut this year decided to transfer control of its 24-year-old lottery, a $650 million a year business, to a quasi-public corporation.

Q. How many other states have converted their lotteries to a quasi-public corporation?

President Clinton has proposed to have a quasi-public corporation take over the F.A.A.'s air traffic control function.

The move will strengthen his influence with the quasi-public corporation, headed by Felix G. Rohatyn, the financier.

Banks pay the quasi-public corporation annual premiums, which provide insurance for depositors and cover the agency's operating costs.

They put forward a plan that called for turning the lottery, now a state agency, into a quasi-public corporation free of direct legislative oversight.

While supporting the change to a quasi-public corporation, they questioned why the state should sacrifice the long-term lottery earnings to private interests.