Abstract
We reveal a symmetric structure in the ho/n games model of innocent strategies, introducing rigid strategies, a concept dual to bracketed strategies. We prove a direct definability theorem of general innocent strategies with respect to a simply typed language of extended Böhm trees, which gives an operational meaning to rigidity in call-by-name. A corresponding factorization of innocent strategies into rigid ones with some form of conditional as an oracle is constructed.
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References
Samson Abramsky, Kohei Honda, and Guy McCusker. A fully abstract game semantics for general references. In Proceedings, Thirteenth Annual IEEE Symposium on Logic in Computer Science, pages 334–344, 1998.
Samson Abramsky and Guy McCusker. Linearity, sharing and state: a fully abstract game semantics for Idealized Algol with active expressions. In P. W. O’Hearn and R. D. Tennent, editors, Algol-like languages. Birkhaüser, 1997.
Vincent Danos and Russell Harmer. Probabilistic games semantics. In Proceedings of the 15 th Symposium on Logic in Computer Science, Santa Barbara, 2000. IEEE.
Vincent Danos, Hugo Herbelin, and Laurent Regnier. Games semantics and abstract machines. In Proceedings of the 11 th Symposium on Logic in Computer Science, pages 394–405, New Brunswick, 1996. IEEE.
Hugo Herbelin. Games and weak head reduction for classical PCF. In ?, editor, Proceedings of TLCA’97, number 1210 in Lecture Notes in Computer Science, pages ?-?, ?, 1997. Springer Verlag.
R. S. Harmer and G. A. McCusker. A fully abstract game semantics for finite nondeterminism. In Proceedings, Fourteenth Annual IEEE Symposium on Logic in Computer Science. IEEE Computer Society Press, 1999.
J. M. E. Hyland and C.-H. L. Ong. On full abstraction for PCF: I, II and III. To appear in Information and Computation, 200?, 1994.
J. Laird. Full abstraction for functional languages with control. In Proceedings, Twelfth Annual IEEE Symposium on Logic in Computer Science. IEEE Computer Society Press, 1997.
Olivier Laurent. Polarized proof nets and λμ-calculus. Submitted to Theoretical Computer Science, 1999.
P. B. Levy. Game semantics as continuation passing (extended abstract). unpublished, 1998.
Guy McCusker. Games and full abstraction for FPC. In Proceedings, Eleventh Annual IEEE Symposium on Logic in Computer Science, pages 174–183. IEEE Computer Society Press, 1996.
Guy McCusker. Games and Full Abstraction for a Functional Metalanguage with Recursive Types. Distinguished Dissertations in Computer Science. Springer-Verlag, 1998.
P. Malacaria and C. Hankin. Non-deterministic games and program analysis: An application to security. In Proceedings, Fourteenth Annual IEEE Symposium on Logic in Computer Science IEEE Computer Society Press, 1999.
Hanno Nickau. Hereditarily sequential functionals. In Proceedings, Logical Foundations of Computer Science, volume 813 of Lecture Notes in Computer Science. Springer-Verlag, 1994.
Peter Selinger. Control categories and duality: on the categorical semantics of the λμ-calculus. To appear, 1999.
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Danos, V., Harmer, R. (2001). The Anatomy of Innocence. In: Fribourg, L. (eds) Computer Science Logic. CSL 2001. Lecture Notes in Computer Science, vol 2142. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44802-0_14
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DOI: https://doi.org/10.1007/3-540-44802-0_14
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