Life In 19x19http://lifein19x19.com/ How evaluate double sente moves ?http://lifein19x19.com/viewtopic.php?f=12&t=17810 Page 8 of 10

 Author: RobertJasiek [ Thu Oct 22, 2020 3:57 pm ] Post subject: Re: How evaluate double sente moves ? I did not reply to your thermography message because I understand too little of the semantics of thermographs to be sure exactly what meaning is conveyed by some definition referring to them.You continue to talk about common go language, feeling, common go players' understanding WRT double sente but what you suggest as common is not and by asking players you won't find something common (for reference, I asked some strong Koreans what is a ko threat according to their rules and got more different answers than interviewed persons). Besides, I have already said pretty much that can be said about that.The traditional endgame theory's "points in double sente" as a move value is another aspect that is a) part of common knowledge, b) presumes the flawed concept of local sente for both starting players and c) uses a value that is meaningless as a move value (and slightly more meaningful as a value used for positional judgement). It is not a move value because I) it is not a value per some number of moves and II) it does not inform well enough when to play the move.Again, you use the word "threat" and I do not understand your intended meaning of this word. Please clarify! In endgame value theory, the word is, unfortunately ambiguous unless used clearly (like in my phrase "threat and its execution" distinguishing first and second moves (or sequences) but you use some different meaning).There is a purpose of me using "local double sente" for an object (type of a local endgame): The local endgames shall be classified for the purpose of identifying their correct kind of local evaluation, which differs for local gote, Black's local sente and White's local sente (and there are finer differences for such long types). By knowing of the non-existence of local double sente, we know 1) we do not need an evaluation for this type, 2) accurate evaluation is that of one of the other types, 3) roughly how approximative evaluations should behave of local endgames resembling would-be local double sentes. (There can be other terms, such as "global double sente", for other study purposes.)For your example, the needed term is not "double sente" but "local endgame with global context so that the move value does not always give sufficient information on correct move order and move orders expressed as choices in which local endgames to play differ for different starting players", which you might call by a shorter new term.{18 | 4 || 0 | -14} itself is not an environment. It is just one combinatorial game.

 Author: Bill Spight [ Thu Oct 22, 2020 4:33 pm ] Post subject: Re: How evaluate double sente moves ? @ GérardJust a couple of questions, not about definitions, not about how go players should use a term, but about your own usage.1) Given the following combined game with Black to play. G = {1|0} + {5||1|-1} + {-3|-5} + {6|-1||-5}What do you call {6|-1||-5}?2)Black to play. G = {3|-4} + {4|2||0} + {-4|-5} + {5|0||-2}What do you call {5|0||-2}?Thanks.

 Author: Bill Spight [ Fri Oct 23, 2020 1:49 am ] Post subject: Re: How evaluate double sente moves ? RobertJasiek wrote:{18 | 4 || 0 | -14} itself is not an environment. It is just one combinatorial game.It is a combinatorial game. But it could be an environment. Not much of an environment, not a typical environment, but still an environment. I don't know of any practical reason to use it as an environment, however. In real life you want to consider it for its specific properties, not as background. I wouldn't use Beethoven's Fifth Symphony as elevator music, either. You could, but why?My remaining remarks are not aimed at Robert, but are made to endorse his views.RobertJasiek wrote:You continue to talk about common go language, feeling, common go players' understanding WRT double sente but what you suggest as common is not and by asking players you won't find something common (for reference, I asked some strong Koreans what is a ko threat according to their rules and got more different answers than interviewed persons).Well, ko threat is even harder to define than double sente. There are even some people who believe that any move is a ko threat! Which makes the term meaningless. Moi, I say that any move can be a ko threat, depending on circumstances. Robert and I have both done research in which a simple gote can be considered a ko threat. But yes, Kano's double sente examples show that even 9 dans have different ideas of what a double sente is. (True, I have not asked any 9 dans about them, but they are truly bad. )RobertJasiek wrote:The traditional endgame theory's "points in double sente" as a move value is another aspect that is a) part of common knowledge, b) presumes the flawed concept of local sente for both starting players and c) uses a value that is meaningless as a move value (and slightly more meaningful as a value used for positional judgement). It is not a move value because I) it is not a value per some number of moves and II) it does not inform well enough when to play the move.Gérard's statistical investigations bear out the fact that it is useless as an indicator of when to play a so-called double sente.Quote:Again, you use the word "threat" and I do not understand your intended meaning of this word. Please clarify! In endgame value theory, the word is, unfortunately ambiguous unless used clearly (like in my phrase "threat and its execution" distinguishing first and second moves (or sequences) but you use some different meaning).Threat is an informal term. I use it as a synonym for the follower of a game, with the connotation that the opponent may wish to answer it locally. (Local is another term that is not easy to define on a go board.)Quote:There is a purpose of me using "local double sente" for an object (type of a local endgame): The local endgames shall be classified for the purpose of identifying their correct kind of local evaluation, which differs for local gote, Black's local sente and White's local sente (and there are finer differences for such long types). By knowing of the non-existence of local double sente, we know 1) we do not need an evaluation for this type, 2) accurate evaluation is that of one of the other types, 3) roughly how approximative evaluations should behave of local endgames resembling would-be local double sentes. (There can be other terms, such as "global double sente", for other study purposes.)One good reason for not bothering to define local double sente is that CGT does not use any term like it. CGT did not, before I defined them thermographically, talk about sente and gote, either, but it did talk about equitable and excitable games, which are synonymous with gote and sente, but not exactly the same. O Meien may talk about double sente moves, but not when calculating evaluations. He doesn't need the term, either, except in certain circumstances.

 Author: Gérard TAILLE [ Fri Oct 23, 2020 3:43 am ] Post subject: Re: How evaluate double sente moves ? Bill Spight wrote:@ GérardJust a couple of questions, not about definitions, not about how go players should use a term, but about your own usage.1) Given the following combined game with Black to play. G = {1|0} + {5||1|-1} + {-3|-5} + {6|-1||-5}What do you call {6|-1||-5}?2)Black to play. G = {3|-4} + {4|2||0} + {-4|-5} + {5|0||-2}What do you call {5|0||-2}?Thanks. When seeing your question the first thought I had was the following : what percentage of the go players have ever seen such notation?In this context I will not be surprised to be wrong.Something looks bizarre in your question: {6|-1||-5} looks like only a pure description of a local game but, just before the question you mentionned it is black to play. That shows my interpretation is certainly not correct and I fear you will have to correct me. Anyway I will continue without taking into account it is black to play.First of all {6|-1||-5} tells me which sequences may happen in this area.Here I see that white can play first in this game but after his move neither black nor white can play another move.It is not the case if black plays first. After a black move either Black or white can play another move and after that it does not remain any move.I deduce this information by only looking at the slashes.Secondly {6|-1||-5} shows figures (6, -1 and -5) which represent the score (for black point of view) you get for each possible sequence (here only three sequences are identified).Strictly speaking {6|-1||-5} tells me nothing else.BTW I see a small difficulty. Seeing a possible follow-up (when it is black to play), surely in the real life black or white may choose other moves which can be better in some (rare?) circumstances (for example a ko-threat which locally will be a loss, or simply a dame move). When seeing {6|-1||-5} I have to understand also that all other moves are considered bad and can be ignored.Adding something is something else: with this area you can then calculate various average values, you can play a game with a tax assumption or in an ideal environment, you can put some words like gote, sente, threat or whatever but that way you create something else beyong the strict meaning of {6|-1||-5}.Concerning the second example {5|0||-2} I do not see what I can add Bill.

 Author: Bill Spight [ Fri Oct 23, 2020 4:17 am ] Post subject: Re: How evaluate double sente moves ? Gérard TAILLE wrote:Bill Spight wrote:@ GérardJust a couple of questions, not about definitions, not about how go players should use a term, but about your own usage.1) Given the following combined game with Black to play. G = {1|0} + {5||1|-1} + {-3|-5} + {6|-1||-5}What do you call {6|-1||-5}?2)Black to play. G = {3|-4} + {4|2||0} + {-4|-5} + {5|0||-2}What do you call {5|0||-2}?Thanks. When seeing your question the first thought I had was the following : what percentage of the go players have ever seen such notation?I am only asking about what you would call these positions. Quote:In this context I will not be surprised to be wrong.There is no right or wrong. What you call them is what you call them. Quote:Something looks bizarre in your question: {6|-1||-5} looks like only a pure description of a local game but, just before the question you mentioned it is black to play. That shows my interpretation is certainly not correct and I fear you will have to correct me. I'm afraid I was not clear. My intention was to show you a whole board position with Black to play. You do this yourself. Quote:Anyway I will continue without taking into account it is black to play.First of all {6|-1||-5} tells me which sequences may happen in this area.Here I see that white can play first in this game but after his move neither black nor white can play another move.It is not the case if black plays first. After a black move either Black or white can play another move and after that it does not remain any move.I deduce this information by only looking at the slashes.Secondly {6|-1||-5} shows figures (6, -1 and -5) which represent the score (for black point of view) you get for each possible sequence (here only three sequences are identified).Strictly speaking {6|-1||-5} tells me nothing else.BTW I see a small difficulty. Seeing a possible follow-up (when it is black to play), surely in the real life black or white may choose other moves which can be better in some (rare?) circumstances (for example a ko-threat which locally will be a loss, or simply a dame move). When seeing {6|-1||-5} I have to understand also that all other moves are considered bad and can be ignored.Or simply non-existent. And I did not intend there to be other circumstances. I meant that this is it. Sure, I excluded filling in your own territory for no reason, and so on. If you wish, I can include dame. A dame is this simple gote, {0|0}. But my idea is that this is it.Quote:Adding something is something else: with this area you can then calculate various average values, you can play a game with a tax assumption or in an ideal environment, you can put some words like gote, sente, threat or whatever but that way you create something else beyong the strict meaning of {6|-1||-5}.There is no tax, no external plays. This is it.Quote:Concerning the second example {5|0||-2} I do not see what I can add Bill. Well, if it matters that G represents everything on the board, and that changes anything, please say so. I am a bit surprised that you had nothing more to say, considering that you constructed a whole board that included what you want to call a double sente. If I had asked about, say, {3|-4}, I thought that you would call it a gote, but now I'm not sure.

 Author: Gérard TAILLE [ Fri Oct 23, 2020 10:42 am ] Post subject: Re: How evaluate double sente moves ? Bill Spight wrote:I am a bit surprised that you had nothing more to say, considering that you constructed a whole board that included what you want to call a double sente. If I had asked about, say, {3|-4}, I thought that you would call it a gote, but now I'm not sure. Your question is now a little controversal Bill.It is not only what is my understanding of {6|-1||-5} but it is far beyond it is how I caracterise such area, gote or sente or ...It is a controversal question because anybody may define gote and sene as she wants. Because it is basically a question of definition it is impossible to say which defintion is the best.I am completly open to any definition proposed and I can of course discuss with anybody, taking any defintion. In the other hand I expect also that we can discuss taking another defintion.I understand Robert's defintion of "double sente" and I agree at 100% that with such definition "double sente" does not exist. What can I say more? I agree, I agree, I agree.Now I proposed for discussion another defintion of "double sente" and the answer is : No, no no, this is not the good defintion, the good defintion is ... and with this definition "double sente" does not exist. How can we discuss?Yes Bill I see you have open the door and you even use yourself double sente to caracterise certain situations. Fine.I can try to define such word as gote, sente, reverse sente, double sente but be sure I am completly open to other definitions.First of all yes Bill I can easily call {3|-4} a gote. In absence of follow-up by defintion it is for me a gote. But do not forget it is only a defintion. We all know that a couple of miai gote may act as ko threat and you may feel such gote point being sente. What is the point? If you say that a gote may be a sente that only means you have not clearly defined these terms. As soon as you propose a definition for sente and gote you have no contradiction providing you do not change the defintion between two sentences.So let's call gote an area {x|y} with x > y. It is a defintion and nothing else.Gote points have very important caracteristics: they are comparable, the evaluation (x+y)/2 allows us to tell wich gote is the best one and you can proof that by playing the gote in the order given by this evaluation you are always correct.What about sente. My definition is : an area {x|y||z} is sente for black if x>y>z and (x+y)/2 > y-zHere again it is only a defintion and nothing else. In particular I do not claim that white has to answer immediatly to a black move. It may be the case in a lot of practical cases but it is not part of the definition.Now what about your {6|-1||-5} example. According to my defintion it is neither a gote nor a sente. In fact depending of the circumstances it may have the behaviour of a gote or a sente.In any case such area do not have the caracteristic of gote area: you can calculate an evaluation like ((6+(-1))/2) + (-5))/2 of course but this time this area can be incomparable to true gote, and you cannot be sure that the calculated evaluation will allow you to play your yose in the best way.Concerning the area {5|0||-2} it is a sente according to my definition. If, taking my definition, the theory tells me that black will very often (against an ideal environment?) be able to play in this area with an immediat answer by white it is fine. It is a good caracteristic even I know it is only an "average" behaviour.Now I can propose a definition of a "double sente", oh sorry a "double blabla"a "double blabla" is an area {a|b||c|d} with a>b>c>d and (a-b)/2 > b-c and (c-d)/2 > b-cSurely if the theory analyses a "double blabla" it will prove it is a quite hot point with interesting caracteristics etc. etc. and it may even help to choose the correct order for playing them with good chance to find the best one etc.Here again nobody knows if a play in this area will be answer immediatly by the opponent. It is not in the defintion is it?I am not sure to have answered completely to your question Bill but it is a difficult one isn'it?

 Author: RobertJasiek [ Sat Oct 24, 2020 2:14 am ] Post subject: Re: How evaluate double sente moves ? Bill Spight wrote:Sure it has gote characteristics. It does not raise the local temperature when played with gote. In fact, it lowers it. That is an essential characteristic of gote, in the theory. Furthermore, {6|-1||-5} + {6|-1||-5} + {6|-1||-5} + {6|-1||-5} = -5. Only gote and some ambiguous positions have the characteristic that a finite number of them equals a number. :)Quote:Concerning the area {5|0||-2} it is a sente according to my definition. If, taking my definition, the theory tells me that black will very often (against an ideal environment?) be able to play in this area with an immediate answer by white it is fine. It is a good characteristic even I know it is only an "average" behaviour.Because this is a technical, intrinsic sente, four of them will not equal 0, which is its mean value. If Black plays first in the foursome, the correct result will indeed be 0. But if White plays first the correct result will be -2. The average value, m, will satisfy 0 ≥ m ≥ -2/4 = -½. This result if White plays first approaches m in the limit as the number of instances goes to infinity. That is so for all intrinsic, local sente. (I used to think that that characteristic defined sente, but it doesn't.)What prevented that characteristic from defining sente?

 Author: Bill Spight [ Sat Oct 24, 2020 2:32 am ] Post subject: Re: How evaluate double sente moves ? RobertJasiek wrote:Bill Spight wrote:Sure it has gote characteristics. It does not raise the local temperature when played with gote. In fact, it lowers it. That is an essential characteristic of gote, in the theory. Furthermore, {6|-1||-5} + {6|-1||-5} + {6|-1||-5} + {6|-1||-5} = -5. Only gote and some ambiguous positions have the characteristic that a finite number of them equals a number. Quote:Concerning the area {5|0||-2} it is a sente according to my definition. If, taking my definition, the theory tells me that black will very often (against an ideal environment?) be able to play in this area with an immediate answer by white it is fine. It is a good characteristic even I know it is only an "average" behaviour.Because this is a technical, intrinsic sente, four of them will not equal 0, which is its mean value. If Black plays first in the foursome, the correct result will indeed be 0. But if White plays first the correct result will be -2. The average value, m, will satisfy 0 ≥ m ≥ -2/4 = -½. This result if White plays first approaches m in the limit as the number of instances goes to infinity. That is so for all intrinsic, local sente. (I used to think that that characteristic defined sente, but it doesn't.)What prevented that characteristic from defining sente?First, there are ambiguous positions that are similar to sente, but do not raise the local temperature, so that there is no privilege. Example: {4|0||-2}.Second, I have discovered some actual gote that exhibit the same property. One player always gets an advantage from playing first.

 Author: RobertJasiek [ Sat Oct 24, 2020 6:04 am ] Post subject: Re: How evaluate double sente moves ? You won't hide that gote, will you?:)

 Author: Gérard TAILLE [ Sat Oct 24, 2020 6:43 am ] Post subject: Re: How evaluate double sente moves ? Bill Spight wrote:Well, double sente has been controversial for at least 45 years.Oops I am not aware of these 45 years of controversial discussion.Maybe there is some misunderstandig on this point. Taking a real game with several subgames, my view is that subgames like the one I called "double blabla" may add some uncertainty on the result of the game. Because of that calculating acurate values for gote subgames might look irrelevant. To avoid that I would have liked to extract such positions from the set of gote but I see you do not like the idea. Considering all these positions as gote I fear that it will be more difficult for the theory to give reliable results.Let's concentrate essentially on gote.Can you make the same exercice and define without any ambiguity what is gote, sente or maybe unknown position as I did.I said:Quote:So let's call gote an area {x|y} with x > y. It is a defintion and nothing else.Gote points have very important caracteristics: they are comparable, the evaluation (x+y)/2 allows us to tell wich gote is the best one and you can proof that by playing the gote in the order given by this evaluation you are always correct.and you even add {x|y} + {x|y} = x + y which is nice resultWhat caracteristics remains with your gote defintion? Or, if you prefer, how do you reformulate such caracteristics with you gote definition?Surely, without an unambiguous gote definition the discussion could not be very usefull.I know my definion of gote is quite narrow but be sure I am I advance ready to take yours providing it is unambiguous Bill.

 Author: Bill Spight [ Sat Oct 24, 2020 9:09 am ] Post subject: Re: How evaluate double sente moves ? Gérard TAILLE wrote:Bill Spight wrote:Well, double sente has been controversial for at least 45 years.Oops I am not aware of these 45 years of controversial discussion.Kano's Yose Jiten came out in 1974. Kano defines double sente as a place where whoever plays first, Black or White, can play with sente. In the discussion of his very first example, he recognizes that one player may be much more likely to not reply than the other. Instead of admitting that in that case the position is really a sente for the other player, he introduces a new term, hitsuzensei, meaning certainty or necessity. See previous discussion here: https://www.lifein19x19.com/viewtopic.p ... 67#p178067The Endgame by Ogawa and Davies came out in 1976. Davies' observation about dividing the so-called double sente value by 0 tolled the mathematical death-knell for double sente, but few go pros are mathematicians.Quote:Maybe there is some misunderstandig on this point. Taking a real game with several subgames, my view is that subgames like the one I called "double blabla" may add some uncertainty on the result of the game. Because of that calculating acurate values for gote subgames might look irrelevant. To avoid that I would have liked to extract such positions from the set of gote but I see you do not like the idea. Considering all these positions as gote I fear that it will be more difficult for the theory to give reliable results.Remember that a gote position may be played with sente, given the global situation. Which number is more likely to get the average non-mathematical player's attention, a "2 point double sente" or a "20 point gote"? Quote:Let's concentrate essentially on gote.Can you make the same exercice and define without any ambiguity what is gote, sente or maybe unknown position as I did.Here is a prototypical gote thermograph. (BTW, humans reason pretty well with prototypes. )Attachment: gote 1-2.png [ 2.37 KiB | Viewed 559 times ] The left and right walls are each inclined, which indicates a play or sequence of plays made with gote for each player playing first. Where they meet the black mast rises vertically, indicating that neither player will play in that game above that temperature (tax). This is how a gote thermograph looks where the left and right walls meet, whatever it may look like below that temperature.Some thermographs for kos look similar, but the angles of the walls are different. As you know, ko thermographs can look strange. Here is a prototypical sente thermograph.Attachment: sente 3 pt.png [ 4.07 KiB | Viewed 559 times ] The left wall of the thermograph is vertical, which indicates a sequence of plays with an even number of plays by each player, starting in this case with a Black play and ending with a White play. I.e., Black played with sente. The right wall is inclined, indicating that White played with gote. Above where the walls meet the left wall rises vertically as the mast before the mast becomes black. The blue mast indicates the privilege of Black to play first with sente in that temperature range. This is how a Black sente thermograph looks where the walls meet, no matter how it looks below that temperature. A White sente thermograph, OC, has a vertical right wall and an inclined left wall.The thermograph of a gote has a black mast, below which each wall is inclined.The thermograph of a sente has a blue or red mast where the walls meet, depending upon whose sente it is, below which the wall of that color descends vertically while the other wall is inclined.There are non-ko positions that are ambiguous between sente and gote, with different thermographs. We have already seen one where the mast is blue where the walls meet, but the blue wall is inclined below that while the red wall is vertical!

 Author: Gérard TAILLE [ Sat Oct 24, 2020 9:56 am ] Post subject: Re: How evaluate double sente moves ? Bill Spight wrote:Here is a prototypical gote thermograph. (BTW, humans reason pretty well with prototypes. )Attachment:gote 1-2.pngThe left and right walls are each inclined, which indicates a play or sequence of plays made with gote for each player playing first. Where they meet the black mast rises vertically, indicating that neither player will play in that game above that temperature (tax). This is how a gote thermograph looks where the left and right walls meet, whatever it may look like below that temperature.OK Bill, in order to know if a area is gote I only have to look where right and left wall meets. If they meet with two inclined line it a a gote. Fine and let's proceed.Now consider G1, G2, G3 ... gote areas with mean values (I mean the temperature where left and right wall meet) g1 >= g2 >= g3 ...What theory tell us to help finding the best move to play?Is it correct to say: the best play is probably a play in game G1 but, unfortunetly, be aware it is not sure at 100%.

 Author: Bill Spight [ Sat Oct 24, 2020 10:42 am ] Post subject: Re: How evaluate double sente moves ? Gérard TAILLE wrote:Bill Spight wrote:Here is a prototypical gote thermograph. (BTW, humans reason pretty well with prototypes. )Attachment:gote 1-2.pngThe left and right walls are each inclined, which indicates a play or sequence of plays made with gote for each player playing first. Where they meet the black mast rises vertically, indicating that neither player will play in that game above that temperature (tax). This is how a gote thermograph looks where the left and right walls meet, whatever it may look like below that temperature.OK Bill, in order to know if a area is gote I only have to look where right and left wall meets. If they meet with two inclined line it a a gote. Fine and let's proceed.Now consider G1, G2, G3 ... gote areas with mean values (I mean the temperature where left and right wall meet) g1 >= g2 >= g3 ...What theory tell us to help finding the best move to play?Is it correct to say: the best play is probably a play in game G1 but, unfortunetly, be aware it is not sure at 100%.Tax all the positions with the same amount and find the minimax results of play at that temperature. If the local temperature of G1 is greater than that of G2, then we know for a certainty that between temperatures G2 and G1 orthodox play (best play) is in G1. We can figure out the thermograph of the combined play. We are looking for best play at temperature 0, I assume.Heuristically, OC, initial play in G1 is likely to be correct. That's why go players developed traditional go theory centuries ago. And that's why we usually start reading with the largest play. We also know that if all the gote are simple gote, best play is in G1. Other heuristics and theorems exist. For instance, in example 1) above, it was obvious that Black could make the first play with sente.Edit: One heuristic, of which I know you are aware, is that of getting the last play before a significant temperature drop. BTW, the go theory term for the temperature at which the walls meet is miai value, which is how much the gote move or reverse sente move indicated by the wall there gains.

 Author: Bill Spight [ Sat Oct 24, 2020 12:15 pm ] Post subject: Re: How evaluate double sente moves ? One of those theorems is whether Black should prefer to play inG = {g|0} or in D = {b|n||0|-w}, where b > n > 0, w > 0, and g > 0 and b, g, n, and w are all numbers.Black should prefer to play in D if b-n ≥ g or (b ≥ g and n+w ≥ g), and Black should prefer to play in G if g ≥ n+w and g ≥ b,with the ko fight caveat.Note that the "double sente value", n, is not relevant.Edit for correctness.

 Author: Gérard TAILLE [ Sat Oct 24, 2020 12:48 pm ] Post subject: Re: How evaluate double sente moves ? Bill Spight wrote:Gérard TAILLE wrote:Bill Spight wrote:Here is a prototypical gote thermograph. (BTW, humans reason pretty well with prototypes. )Attachment:gote 1-2.pngThe left and right walls are each inclined, which indicates a play or sequence of plays made with gote for each player playing first. Where they meet the black mast rises vertically, indicating that neither player will play in that game above that temperature (tax). This is how a gote thermograph looks where the left and right walls meet, whatever it may look like below that temperature.OK Bill, in order to know if a area is gote I only have to look where right and left wall meets. If they meet with two inclined line it a a gote. Fine and let's proceed.Now consider G1, G2, G3 ... gote areas with mean values (I mean the temperature where left and right wall meet) g1 >= g2 >= g3 ...What theory tell us to help finding the best move to play?Is it correct to say: the best play is probably a play in game G1 but, unfortunetly, be aware it is not sure at 100%.Tax all the positions with the same amount and find the minimax results of play at that temperature. If the local temperature of G1 is greater than that of G2, then we know for a certainty that between temperatures G2 and G1 orthodox play (best play) is in G1. We can figure out the thermograph of the combined play. We are looking for best play at temperature 0, I assume.Let's take G1 = {8|5||0} and G2 = {6|0}G1 et G2 are incomparable and g1=3¼ g2=3I assume each G3,G4,.. not too complex (I mean only of the forms {x|y} or {x|y||z} or {x||y|z} and the majority of them of the form {x|y})Without having any knowledge of CGT theory I have to read all the game (not so easy is it?) in order to find the best move (in G1 or G2 if not in G3 or ...).Now the question is : how CGT knowledge can help me?Bill Spight wrote:Tax all the positions with the same amountI assume I have to consider temperature between 3 and 3¼ ?Bill Spight wrote:find the minimax results of play at that temperatureWhat doaes that mean? If I have to read all the game G1 + G2 + G3 ... to find the result of the game, I fear I will gain nothing in the process.Bill Spight wrote:If the local temperature of G1 is greater than that of G2, then we know for a certainty that between temperatures G2 and G1 orthodox play (best play) is in G1I already calculated the miai values 3 and 3¼ for G1 and G2. What do you suggest here?Obviously I must have missed something because, for the time being, I don't see clearly what CGT knowledge brings me in the process to find the best move.

 Author: Bill Spight [ Sat Oct 24, 2020 1:58 pm ] Post subject: Re: How evaluate double sente moves ? Gérard TAILLE wrote:Let's take G1 = {8|5||0} and G2 = {6|0}G1 et G2 are incomparable and g1=3¼ g2=3I assume each G3,G4,.. not too complex (I mean only of the forms {x|y} or {x|y||z} or {x||y|z} and the majority of them of the form {x|y}){snip}I already calculated the miai values 3 and 3¼ for G1 and G2. What do you suggest here?Obviously I must have missed something because, for the time being, I don't see clearly what CGT knowledge brings me in the process to find the best move.Since you are vague about G3 and other positions, let us take them as the environment for G1 and G2. All we need to know now is the miai value or estimated miai value of G3. Let's call it t, with t < 1½, since we know {8|5} and assume that it is relevant, and we also let the mean value of the environment be 0, for convenience. If {8|5} is not relevant, then we can replace it with its mean value, 6½.At temperature t < 1½ the left wall of the thermograph is max(0+8-t,6-0) = 8-t. And the right wall is min(0+6,0+5+t) = min(6,5+t). When t < 1 it is 5+t, when 1 ≤ t < 1½ it is 6.So, given what we know, when t < 1½ Black plays in G1. When 1 ≤ t < 1½ White also plays in G1, but when t < 1 White plays in G2.

 Author: Gérard TAILLE [ Sat Oct 24, 2020 3:10 pm ] Post subject: Re: How evaluate double sente moves ? Bill Spight wrote:Gérard TAILLE wrote:Let's take G1 = {8|5||0} and G2 = {6|0}G1 et G2 are incomparable and g1=3¼ g2=3I assume each G3,G4,.. not too complex (I mean only of the forms {x|y} or {x|y||z} or {x||y|z} and the majority of them of the form {x|y}){snip}I already calculated the miai values 3 and 3¼ for G1 and G2. What do you suggest here?Obviously I must have missed something because, for the time being, I don't see clearly what CGT knowledge brings me in the process to find the best move.Since you are vague about G3 and other positions, let us take them as the environment for G1 and G2. All we need to know now is the miai value or estimated miai value of G3. Let's call it t, with t < 1½, since we know {8|5} and assume that it is relevant, and we also let the mean value of the environment be 0, for convenience. If {8|5} is not relevant, then we can replace it with its mean value, 6½.At temperature t < 1½ the left wall of the thermograph is max(0+8-t,6-0) = 8-t. And the right wall is min(0+6,0+5+t) = min(6,5+t). When t < 1 it is 5+t, when 1 ≤ t < 1½ it is 6.So, given what we know, when t < 1½ Black plays in G1. When 1 ≤ t < 1½ White also plays in G1, but when t < 1 White plays in G2.Two points Bill1) I was assuming the miai values g1 ≥ g2 ≥ g3 were droping not too fast => g3 should be say between 2 and 32) My question concerns the best move. I know that an heuristic choice is quite perfect with CGT theory but I do not know if CGT theory can help me finding the real best move (OC assuming you know all the environment). If in the process you assume somewhere an ideal environment then you will only have en heuristic choice won't you?

 Author: Bill Spight [ Sat Oct 24, 2020 3:17 pm ] Post subject: Re: How evaluate double sente moves ? Gérard TAILLE wrote:Bill Spight wrote:Gérard TAILLE wrote:Let's take G1 = {8|5||0} and G2 = {6|0}G1 et G2 are incomparable and g1=3¼ g2=3I assume each G3,G4,.. not too complex (I mean only of the forms {x|y} or {x|y||z} or {x||y|z} and the majority of them of the form {x|y}){snip}I already calculated the miai values 3 and 3¼ for G1 and G2. What do you suggest here?Obviously I must have missed something because, for the time being, I don't see clearly what CGT knowledge brings me in the process to find the best move.Since you are vague about G3 and other positions, let us take them as the environment for G1 and G2. All we need to know now is the miai value or estimated miai value of G3. Let's call it t, with t < 1½, since we know {8|5} and assume that it is relevant, and we also let the mean value of the environment be 0, for convenience. If {8|5} is not relevant, then we can replace it with its mean value, 6½.At temperature t < 1½ the left wall of the thermograph is max(0+8-t,6-0) = 8-t. And the right wall is min(0+6,0+5+t) = min(6,5+t). When t < 1 it is 5+t, when 1 ≤ t < 1½ it is 6.So, given what we know, when t < 1½ Black plays in G1. When 1 ≤ t < 1½ White also plays in G1, but when t < 1 White plays in G2.Two points Bill1) I was assuming the miai values g1 ≥ g2 ≥ g3 were dropping not too fast => g3 should be say between 2 and 32) My question concerns the best move. I know that an heuristic choice is quite perfect with CGT theory but I do not know if CGT theory can help me finding the real best move (OC assuming you know all the environment). If in the process you assume somewhere an ideal environment then you will only have en heuristic choice won't you?If you don't want to be vague, let t = 0. But anyway, heuristics can help guide reading.If you want 2 ≤ t < 3, then replace {8|5} with 6½ and play G1. If you are not more specific, what can be said about best play?

 Author: Gérard TAILLE [ Sun Oct 25, 2020 3:48 am ] Post subject: Re: How evaluate double sente moves ? Bill Spight wrote:If you don't want to be vague, let t = 0. But anyway, heuristics can help guide reading.If you want 2 ≤ t < 3, then replace {8|5} with 6½ and play G1. If you are not more specific, what can be said about best play?OK Bill let's simplify the problem and formulate it in a different way.Let's take G1 = {8|5||0} and G2 = {6|0}and let's assume G3,G4,.. only of the forms {x|y} (I mean only simple gote) with g1 ≥ g2 ≥ g3 ≥ g4 ...In addition let's suppose the game black to play G1 + G2 + G3 + G4 + ... is quite close and let's suppose that the god play allows black to win the game.Question : what is the best way to proceed in order to be sure at 100% to choose as a first black move a winning move?

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