Some Basic Terminology for Boolean Dice Games

To make the games easier to describe, we're going to adopt some basic terminology for the games. Most games assume that players are sitting on comfortable chairs around a flat table with room to roll dice; use your best judgement for adapting games to other scenarios.
Black-up
A die is Black-up if the topmost face is black (has no round sticker).
Color
The Color of a die is the color of the topmost face.
Constrained
If a game is Constrained, it means that you are not allowed to get up from your seat before the game is over! (If you are sitting on chairs, consider using the Crokinole "butt-cheek" rule -- you cannot move your chair and must keep at least one "cheek" on the chair at all times.) It also means you may not touch most dice (unless you Possess them).
Display
To place a die so that other players may View it. Possession of the die is unchanged.
Examine
To inspect a die fully (all six faces). You may touch it and/or pick it up.
Nudge
To turn a die 90 degrees so that a different face is on top. Getting the bottom face to the top requires Nudging twice.
Possess/Possession
Taking a die. When the die is in your Possession, you may Examine it freely. You may also hide it from the view of other players. If other players ask you how many dice you possess, you must answer truthfully, but you are not obligated to divulge the identity of those dice.
Reveal
To take a die and turn it upside-down, showing all players the bottom face of the die. You may not Examine the die unless explicitly allowed to.
Roll
To roll a die. In general, you may not Examine or Reveal a die that you roll unless it is in your Possession.
Shift
To move a die without showing anyone the bottom face. You may turn it to look at the other faces.
Split
This is an easy way of splitting one set of dice into two groups of five dice each, where one group has five Black-up dice and the other has five White-up dice. Roll all 10 dice. If five are White-up and five are Black-up, you're done. Otherwise, pick whichever Color there's the least of, and put those dice in one pile. Re-roll the other dice until there are 5 or less of the other Color. If there are exactly 5, you're done. Otherwise, put those dice of the other Color into a second pile, and reroll the rest until they split appropriately.
Surrender
To lose Possession of a die. Sometimes the die is Surrendered to another player (who then gains Possession of it); sometimes it is just Rolled.
View
To look at a die (without touching it or leaving your seat). You may crane your head in an attempt to see more of the die.
White-up
A die is White-up if the topmost face is white (has a round sticker).