Algorithm for chess program Pc#
Algorithm for chess program plus#

'I argued that there could not exist a deterministic Turing machine that always won or stalemated at chess.' After the discussion, I will buy that given more memory than we can possibly dream of, all these paths could be found. I guess my thought experiment was that whenever a branch in the tree is taken, then the algorithm (or memorized paths) must find a path to a mate (without getting mated) for any possible branch on the opponent moves. My original assertion is probably wrong, but then again I think I've pointed out something that is not yet satisfactorily proven (formally). I would argue that chess is a bit more complicated than checkers in that a win is not necessarily by numerical exhaustion of pieces, but by a mate. Thinking about it again, it seems like there is no theoretical problem with solving a finite game like chess. Again, the endgame in question is avoidable though.Įdit: Hmm. Most chess computers try to match a possible end game to the game in progress, which is essentially a dynamic programming traceback. Even if you know everything, your next move is greedy in matching a heuristic. However, being a programmer who has taken CS, I know that even your good choices - given a wise opponent - can force you to make 'mistake' moves in the end. My friend thought, to the contrary, that a computer would always win or tie if it never made a 'mistake' move (however do you define that?). Being based on a heuristic, it does not necessarily beat ALL of the moves that the opponent could do. I think that, even if you search the entire space of all combinations of player1/2 moves, the single move that the computer decides upon at each step is based on a heuristic. I argued that there could not exist a deterministic Turing machine that always won or stalemated at chess. I'm not well versed in theory, but think I know enough. Function can be whatever as long as it works, as it allows a computer to compare board positions, to see which are the desirable outcomes.Īfter doing the analysis, now it is time to make the decision, this is the example of simplified tree.I was recently in a discussion with a non-coder person on the possibilities of chess computers.

This can be made more and more complicated, taking into account of many values such as individual pieces, board position, control of the center, vulnerability of the king to check, vulnerability of the opponent’s queen, and tons of other parameters. Of course, that is not a very good evaluation function, but that is the idea. Then the computer would evaluate such a board to 12-8 = 4. For example, the computer has 12 pieces left on the board, while the opponent only has 8.

The pretty simple example is an evaluation function could be the number of pieces the computer has minus number of pieces opponent has. Once they have this limited tree, they evaluate each position using an evaluation function. The real and sufficient computers will build up this tree to the best of their hardware capabilites, like 5, or 10, or 20 or whatever moves into the future. For your information, the total estimated atoms in the universe are 10⁷⁵, in other words, the bot might still calculating its move while universe already reached its end. Pretty sure that all of us know the problem, 10¹²⁰ is very huge number. Then, it would see which are the paths down this tree that will lead to the victory, and choose the best one for the bot. In theory, the perfect computer would be able to get to the very bottom of this tree, and look at all possible configurations of the board, approximately 10¹²⁰. Next, the computer can make another 20 possible moves to each of these 400 scenarios.Īs long the game still continues, the tree will keeps growing. That make it we have 20*20 possible scenarios which means 400 scenarios only in two turns. After that, the opponent can also make 20 possible moves.

Algorithm for chess program plus#

The computer can make 1 of 20 possible moves (2 each for the 8 pawn, plus 2 each for the knights).

When we start the game, each player have 16 pieces. No worries! the essence of chess algorithms are simple, although, the modern chess algorithms itself kind of complicated. Actually, chess bot works like any other computer works, which is by reducing the problem to a bunch of dumb calculations. It is pretty obvious, but what I want to explain here is how chess algorithm works in mathematics side. Of course, all of us know that chess bot works because math. Have you guys ever wondered how chess bot works?

Algorithm for chess program Pc#

Nowadays, we can play chess with bot as long as we have platform that is sufficient to do so such as PC and smartphone. It is pretty common game that I believe most of us already played it when we were child. For your information, chess is considered as abstract strategy game which required strategy and tactics to win the game. Chess is a two-player strategy board game played on checkered board with 64 squares arranged in an 8x8 grid.