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Extra resources for Theoretical Approaches to Non-Numerical Problem Solving: Proceedings of the IV Systems Symposium at Case Western Reserve University

Sample text

R all games in the class. The five elements of the quintuple defining these board games are obtained from these sets as follows. S, the set of situations, consists of ordered pairs. e. gives an assignment of naughts, crosses and emptiness on the cells. The second element of the set is either 0 or 1, denoting whether it is a player's or an opponent's move. A situation (s, 1) is winning if s-l(X) includes a member of A and s-l(V) does not i ncl ude any member of B. Los tng si tuati ons are descri bed analogous ly.

28. , "Some Studies in Machine Learning Using the Game of Checkers", IBM Jour. Res. , 3, p. 210, 1959. 29. , "Some Studies in Machine Learning Using the Game of Checkers II: Recent Progress", IBM Jour. Res. , 11, p. 601, 1967. 30. , "Prograrrming a Digital Computer for Playing Chess", Phil. , 41, p. 356,1950. 31. , "The Group of Automorphisms of 3-dimensional Tictactoe" , American Mathematical Monthly, 74, p. 189, 1969. 32. , "Experiments with some Programs that Search Game Trees", Jour. , 16, p.

17. , "One Example of a Game for Many Identical Automation", Autom. and Remote Control, 25, p. 608, 1964. 18. , "The Greenblatt Chess Program", Proc. Fall Joint Computer Conference, p. 801, 1967. 19. , "Experiments in Chess", Jour. , 4, p. 174,1957. 20. , "Learning Through Pattern Recognition Applied to a Class of Games", Systems Research Center Report SRC-103-A-67-45, Case Institute of Technology, 1967. 21. , "Learning Games Through Pattern Recognition", IEEE Trans. on Systems Science and Cybernetics.

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