According to any logic after halving the production rate the price should double after that (slowly/or not).
It actually can have an even stronger effect. First of all, halving the inflation rate means that we only have to have half as much money invested in bitcoin in order to sustain the price. So this means either people in the economy, or introducing new people to the economy with a rate of 12.5% instead of 25%. But with the price stability or increases, it becomes easier to convince people to get in. With more money coming in, the price will go even higher. The only push back is long time holders deciding to cash out.