| J.-Y. Girard. On the unity of logic. Submitted to Annals of Pure and Applied Logic, 1991. |
....Opponent starts. Definition 4 A game A is positive (has polarity 1) if every valid initial move in A is by Player; negative (has polarity Gamma1) if every valid initial move in A is by Opponent; and neutral (polarity 0) otherwise. Although we use the same notation for polarities as Girard [Gir91b], they have a somewhat different interpretation. Our polarities have a very direct computational reading. If we interpret 24 moves by Opponent as demands for data and moves by Player as generating data, then positive games model purely data driven computation; negative games model purely ....
J.-Y. Girard. On the unity of logic. Submitted to Annals of Pure and Applied Logic, 1991.
....Opponent starts. Definition 4 A game A is positive (has polarity 1) if every valid initial move in A is by Player; negative (has polarity Gamma1) if every valid initial move in A is by Opponent; and neutral (polarity 0) otherwise. Although we use the same notation for polarities as Girard [Gir91b], they have a somewhat different interpretation. Our polarities have a very direct computational reading. If we interpret moves by Opponent as demands for data and moves by Player as generating data, then positive games model purely data driven computation; negative games model purely ....
J.-Y. Girard. On the unity of logic. Submitted to Annals of Pure and Applied Logic, 1991.
....Opponent starts. Definition 4 A game A is positive (has polarity 1) if every valid initial move in A is by Player; negative (has polarity Gamma1) if every valid initial move in A is by Opponent; and neutral (polarity 0) otherwise. Although we use the same notation for polarities as Girard [Gir91b], they have a somewhat different interpretation. Our polarities have a very direct computational reading. If we interpret moves by Opponent as demands for data and moves by Player as generating data, then positive games model purely data driven computation; negative games model purely ....
J.-Y. Girard. On the unity of logic. Submitted to Annals of Pure and Applied Logic, 1991.
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