Ok lemme see if I can tackle this and simplify it in a clear and concise manner.
As it reads now - TDA Rule 41:
41: Raises
A: A raise must be at least the size of the largest previous bet or raise of the current betting round. If a player raises 50% or more of the previous bet but less than the minimum raise, he must make a full raise. The raise will be exactly the minimum raise allowed.
B: In no-limit and pot limit, an all-in wager of less than a full raise does not reopen the betting to a player who has already acted and is not facing at least a full raise when the action returns to him. In limit, at least 50% of a full raise is required to re-open betting for players who have already acted. See Illustration Addendum.
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New Version
41: Raises
In all forms of poker, a bet or raise must be greater than or equal to the size of the previous bet or raise with the exception of an all-in wager. In No Limit and Pot Limit, the betting is not reopened to a player who has previously acted in the current betting round by checking, calling or betting AND is NOT facing a full bet or raise when the action returns to them. They may ONLY call or fold. In Limit Poker, the Half Bet Rule applies. See below.
A: Half Bet Rule - In all forms of poker, if a player makes a bet of 50% or more of the previous bet or raise that is less than a minimum raise then he must complete the bet to the full minimum raise. In Limit Poker ONLY, if an all-in bet meets the Half Bet Rule criteria, THEN the betting is reopened to players that have previously acted in the current betting round. Otherwise, the betting is closed and they may only call or fold.
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It's late at night, that was my best stab at it for right now.
While were on the topic of rewording rules, #38, #39, #40 are also pleonastic and loquacious.