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J. H. Conway. On Numbers and Games, volume 6 of London Mathematical Society Monographs. Academic Press, 1976.

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Games and Full Completeness for Multiplicative Linear Logic - Samson Abramsky And (1994)   (132 citations)  Self-citation (Games)   (Correct)

....the trip condition ( Gir87] Introduction, Section III.4.3) ffl In the case of Omega there is no cooperation: if we start with A , then we come back through A before entering B after which we come back through B . This example is taken from [LS91] but the same idea can be found in [Con76]. 9 ffl in the case of there is cooperation: if we start again with A , then we are expected through B , from which we go to B and eventually come back through A . Thus we get the following possible transitions in trips: B: A A B B or B B A A A B: A B B A or ....

....categories of games, or at least categories with some game theoretic flavour, it seems worthwhile to make some explicit comparisons. 6. 1 Conway games As far as we know, the first person to make a category of games and winning strategies was Joyal [Joy77] His category was based on Conway games [Con76] with Conway s addition of games as the tensor product. Conway s formalization of games differs from ours in that he presents the tree of positions directly, rather than via an underlying set of moves. This means that strategies must be formalized as functions on positions, and hence are ....

J. H. Conway. On Numbers and Games, volume 6 of London Mathematical Society Monographs. Academic Press, 1976.


Games and Full Completeness for Multiplicative Linear Logic - Abramsky, Jagadeesan (1992)   (132 citations)  Self-citation (Games)   (Correct)

....in the case of there is cooperation: if we start again with A , then we are expected through B , from which we go to B and eventually come back through A . Thus we get the following possible transitions in trips: 1 This example is taken from [LS91] but the same idea can be found in [Con76]. A Omega B: A A B B or B B A A A B: A B B A or B A A B If we correlate questions , in the terminology of [Gir87] with moves by Opponent and answers with moves by Player, this says exactly that only Opponent (Player) may switch between components in a Tensor ....

....categories of games, or at least categories with some game theoretic flavour, it seems worthwhile to make some explicit comparisons. 6. 1 Conway games As far as we know, the first person to make a category of games and winning strategies was Joyal [Joy77] His category was based on Conway games [Con76] with Conway s addition of games as the tensor product. Conway s formalization of games differs from ours in that he presents the tree of positions directly, rather than via an underlying set of moves. This means that strategies must be formalized as functions on positions, and hence are ....

J. H. Conway. On Numbers and Games, volume 6 of London Mathematical Society Monographs. Academic Press, 1976.


Games and Full Completeness for Multiplicative Linear Logic - Abramsky, Jagadeesan (1994)   (132 citations)  Self-citation (Games)   (Correct)

....the trip condition ( Gir87] Introduction, Section III.4.3) ffl In the case of Omega there is no cooperation: if we start with A , then we come back through A before entering B after which we come back through B . 1 This example is taken from [LS91] but the same idea can be found in [Bla72, Con76], and indeed goes back into the mists of folklore. ffl in the case of there is cooperation: if we start again with A , then we are expected through B , from which we go to B and eventually come back through A . Thus we get the following possible transitions in trips: A Omega B: A ....

....categories of games, or at least categories with some game theoretic flavour, it seems worthwhile to make some explicit comparisons. 6. 1 Conway games As far as we know, the first person to make a category of games and winning strategies was Joyal [Joy77] His category was based on Conway games [Con76] with Conway s addition of games as the tensor product. Conway s formalization of games differs from ours in that he presents the tree of positions directly, rather than via an underlying set of moves. This means that strategies must be formalized as functions on positions, and hence are ....

J. H. Conway. On Numbers and Games, volume 6 of London Mathematical Society Monographs. Academic Press, 1976.

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