Buttressing his argument with a new Federal Reserve study, he is contending that the central bank can increase the productivity of the nation's workers and factories by pushing inflation even lower than the 2.4 percent rate for consumer prices over the year that ended in April.
The reasoning goes that lower inflation forces businesses to become more efficient because they cannot raise prices, and that when businesses are more efficient, the nation's economic output and standard of living rise.
Mr. Greenspan's fascination with the link is important not only as a defense of past interest rate increases but also as one of many signals about future policy.
The research may help to explain why Mr. Greenspan has gradually become more willing than most Federal Reserve officials to raise interest rates this spring, after some initial reluctance.
A preliminary draft of the study contends that with a reduction of one percentage point in the inflation rate, the nation's productivity and economic growth rates both rise by two- or three-tenths of a percentage point.
But the argument does not impress administration officials or some private economists, who are skeptical of the Federal Reserve's new claims and worry that in using higher interest rates to slow the economy and therefore push down an already low inflation rate, the Fed will excessively restrict the economy and needlessly cost the country hundreds of thousands of jobs.
Mr. Greenspan cited the research in congressional testimony last month to argue that further reductions in inflation may be needed.
"We don't have enough observations to know that it's conclusively the case," he told the Senate Banking Committee, "but I think it's becoming persuasively the case that not only is it -- which everyone agrees to -- important to bring the inflation rate down from 10 percent to 5 percent, but it's increasingly becoming evident that the lower we get under 5 percent, the more stable and growing the economy is."
Mr. Greenspan has previously indicated a desire to reduce inflation to 1 or 2 percent.
The productivity research is the latest of many justifications that the central bank has offered over the years for raising interest rates.