I think I used it correctly, but we'll see in the code review

I added two methods to the open lists:
void boost_last_used_list() boosts the last list from
which we removed an entry.
int boost_preferred() boosts all open lists that insert 
only preferred states.

From my point of view we can consider this as resolved
(if Erez does not find problems when writing the new
lazy search).

Sounds good.
Let me know when you have an interface, and I'll use it.

I think progress should be checked by the search, but the reward progress method
should then be part of the open list.

So open list should also have a check/reward progress method?

The alternation open list should provide the possibility to boost sub-open-lists
that perform well. This information should be provided by the search.