Seeing no other comments on the basic ideas behind my proposed new confirmation phase I worked on the wording itself (which is not an easy task
)
I corrected a lot of mistakes and modified various wording for clarification purpose.
I added also a lot of comments to explain the ideas behind the proposal.
Here is the new text:
Confirmation phase:
Preliminary definitions:
A "two-eye-formation" is a set of one or several groups of stones of the same player and exactly two empty intersections so that:
1) each of the groups of stones is adjacent to each of the two empty intersections1,
2) each of the two empty intersections is adjacent only to the groups of stones2.
The "inside border" of an area is all the intersections in the area which are adjacent to an intersection not in the area
The "outside border" of an area is all the intersections not in the area which are adjacent to an intersection in the area
A group of stones of a player is "pass-alive" if it keeps its alive status even if the player continues to pass whenever the opponent makes plays.
An area is "controlled" by a player if:
1) in the inside border you can find only stones of the player3.
2) in the outside border you can find only stones of the opponent4.
3) the area can be entirely covered by a "two-eye formation" through an hypthetical play (see below) assuming the outside border being pass-alive5
A "player's territory" is all the intersections which are empty or occupied by an opponent stone, in a player's controlled area6.
Confirmation phase procedure:
1) One player claims she "controls" a given area. This player is called the "defender" and the other player is called the "attacker"7
2) If this area cannot be "controlled" because inside or outside border do not fulfill the corresponding conditions (see above) then the confirmation phase procedure return to 1) for another claim
3) Hypthetical plays take place : the objective of the defender is to build a "two-eye formation" covering all the potential "controlled" area8. The attacker's objective is the opposite
4) If the defender succeeds the territory associated to the "controlled" area is declared the "territory" of the defender
5) confirmation phase procedure return to 1) for another claim
Definition:
A position is said to be "critical" if this position is reached after an attacker's ko capture followed by a defender's pass9.
Hypothetical play:
At the beginning of an hypothetical play there are no ko ban
The hypothetical play begins always by an attacker's move (a play or a pass) and then each player makes moves alternatively10.
Normal play rule is used during hypothetical play except that all the "permanently prohibited ko" created (see below) have to be taken into account (the attacker is not allowed to capture a ko which have been "permanently prohibited")11
Three successive passes end always an hypothetical play12
Procedure to create "permanently prohibited ko"13:
As soon as a "critical position" is reached the defender14 may (it is not mandatory) claim for creating a "permanently prohibited ko":
1) The defender proves that she can either reach her objective or reach "critical positions" an infinite number of times
2) The defender proves she is able to prevent the attacker to make an infinite number of passes
3) If the attacker agrees to point 1) and 2)15 then the hypothetical play continues up to the following "critical position"
4) As soon as a new critical position is reached a "permanently prohibited ko" is automatically created for the ko capture made by the attacker before the last pass
5) Then the hypothetical play continues taking into account the "permanently prohibited ko" created and the defender may later create another16 "permanently prohibited ko" using again the procedure above.
Comment 1: the idea is that each group of stones has (exactly) two liberties
Comment 2 : this point implies that the two empty intersections themselves cannot be adjacent
Comment 3 : the inside border might be empty if the concerned area is made of all the board. In that case the outside border will be also empty
Comment 4 : Because empty intersection are not allowed in the outside border, that means that all outside dame has been filled
Comment 5 : because the outside border is considered pass-alive you do not need to play a move on the board which is not on the potential controlled area. You can always replace this move by a pass (eventually allowing you to retake a local ko)
Comment 6 : territory and its inside border are just the common concepts used by the players during all the game. In this context, claiming for a given controlled area is only natural. This defintion shows that territory is closely related to two-eye-formation. As a consequence in a region where exists a commonly called "seki", no territory can exist and that explains that no point can be counted in a "seki".
Comment 7 : the defender try to defend her territory against the attacker who will play first
Comment 8 : looking for a "two eye formation" corresponds basically to the work already done during game to verify that the player has really some points in a territory (no seki). In practice the two eye formation will never really build because the players will agree to the result far before the theoritical end of the hypothetical play.
Comment 9 : in a "critical" position it is always defender to play
Comment 10 : an hypothetical play starts always by the attacker => if the defender missed a teire move (during normal play) then the defender will not be able to prove she as a territory => teire moves should be played during normal play
Comment 11 : this rule prevents the attacker to create a loop avoiding the defender to build her two-eye-formation
Comment 12 : because the hypothetical play is basically played under normal play three passes are necessary to allow each player to retake an unsettled ko. OC, as usual, agreement between players may also end an hypothetical play
Comment 13 : the "permanently prohibited ko" is the key point to handle potential loops. The idea is to recognize that some loops are advantageous to a player (the easiest example is the monshine life). J89 uses pass-for-ko for that purpose but unfortunately side effects can be observed. As soon as an advantgeous loop has been recognised then a "permanently prohibited ko" allows to break the loop.
Comment 14 : only the defender can claim for creating a "permanently prohibited ko". The attacker has no need to avoid the defender to play a loop because such loop means that the defender has not reached her objective of building effectively a two-eye formation
Comment 15 : if the two players do not agree on point 1) and 2) even by using an another board for analysis then the referee will decide
Comment 16 : as worded several "permanently prohibited ko" may exist at the same time. Further study may conclude that using only the last "permanently prohibited ko" created is enough.
+ 4 x 
= 8 x 2 + 4 x 1 = 16 + 4 = 20
+ 8 x 
= 8 x 1 + 4 x 1 + 8 x 1 = 8 + 4 + 8 = 20