Neither common properties nor response reduction involves any new concept. Common properties is just a special case of tact extension, while response reduction may be considered a special case of public accompaniment.
A way in which the verbal community brings verbal behavior under the control of private stimuli that has the following features:
A verbal response controlled by the speaker’s own overt behavior
Private kinesthetic stimuli that are collateral with observable public stimuli
The response then is reduced in magnitude to the point where no public stimuli are produced
The topography of the response
The particular form of the speaker’s overt behavior