You had written: "Positional repetition doesn't necessarily lead to a non-terminating game"palapiku wrote:Sorry, I still don't understand, and I think you don't understand me either. First of all I'm not interested in cycles, either positional or situational.RobertJasiek wrote:Here we see another carelessness of you: You did not consider your own made assumptions carefully! You presumed a repeated position, i.e., your assumptions did not allow for ko rules that would have prohibited repeated positions. In particular PSK is disallowed under your implied assumptions. Therefore single-stone suicide does not behave as you wish ALA we use your implied assumptions from your problem request message.
Positional repetition DOES CREATE A CYCLE! The cycle from the previous occurance of a position to its repeated occurrance. Therefore your new statement "First of all I'm not interested in cycles" contradicts your earlier statement. This is an example why I may correctly write "Here we see another carelessness of you: You did not consider your own made assumptions carefully!". Etc. But as long as you do not understand what you wrote (that it implies a cycle), it is pointless to continue discussion.
Non-terminating go games contain cycles! Proof: The number of positions is finite. Therefore the number of possible sequences is finite. Therefore positions are repeated.First of all I'm not interested in cycles, either positional or situational. I'm only interested in non-terminating games.
Depends on what you call harmless.Theoretically, cycles of any kind are harmless as long as the game ends.
It's non-termination that superko is meant to address.
Superko wants something more specific: Prevent repetition in a board-global sense.
Which and under EXACTLY WHICH SET OF ASSUMPTIONS?The problem with PSK is precisely that it prohibits situations which don't lead to non-terminating games
Recycling of (Suicide of one stone followed by a single pass) leads to a non-terminating game.such as the suicide of one stone.
Immediate repetition of (Suicide of one stone) does not exist because it does not abide the alternation of turns principle.
Whether it leads to non-termination depends on what you consider: Intervening single passes or none of them.it doesn't lead to non-termination and therefore should not fall under the jurisdiction of a superko rule.