if you want the mainstream perspective look up ‘quantity theory of money’. from that it follows, less spending means less money and less inflation. so, spending rules reduce inflation by constraining the Government (but not commercial bank lending).

it can be true (sometimes), if you leave the economy with massive unemployment due to insufficient spending so that people don’t have money, it slows down and eventually shrinks but hey atleast there is ze price stabilité.

if you want non-mainstream macroecon books, these two ones I have read and can recommend. 1 2