Hello,
Based on the Implementation details given in the titled paper (and also in 2016’s Continuous Online Sequence Learning Paper), I have the following two questions:

In equation (4) of the titled paper, what happens if there are more than one cells predicted in a single minicolumn? Will all of the predicted cell’s active dendrites receive a reinforcement of their synapses connected to active presynaptic cells? If yes, then does this not negatively effect the storage efficiency of the cells of the network?
Equation (3) does not put any columnar inhibition on prediction of a cell, only equation (2) puts a columnar inhibition on the activity of the cell. 
On a similar note to the first one, what happens if – in equation (5) – there are more than one dendritic segments (from all the dendritic segments on all the cells in a particular unpredicted minicolumn) that have a maximum overlap with the previous timestep’s activity pattern?