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Hang on, I think I completely misread this:
This could be as simple as oversized holes with washers to allow them to move.
You mean so the top is almost floating on the fixings. See exaggerated mock up below.
I guess my concern is how you maintain strength and rigidity. The legs get their strength from the top, so weakening that connection makes the whole thing less stable. An alternative would be to make a subframe, but that would take it from a table a reasonable strong adult can move and put up to something that has to have two people.
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exactly that, an internal table would use 'buttons' to allow the movement. It shouldn't the stability of the table because you still tighten the screws down. The table won't be any weaker you are just giving it the ability to expand/contract. Without this it will either cup and pull the screws out or split
I don't think you need to construct a sub-frame
yes much as I thought, the top boards are fixed to the bottom cross section not allowing for cross grain movement.
are they tongue and groove boards? I would try and remove them if possible and refit using a method which allows for them to expand/ contract. This could be as simple as oversized holes with washers to allow them to move.