Abstract
We discuss the extent to which game semantics is implicit in the basic concepts of linear logic.
Partially supported by NSF grant DMS-9204276.
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References
S. Abramsky and R. Jagadeesan, Games and full completeness for multiplicative linear logic, J. Symbolic Logic (to appear).
A. Blass, A game semantics for linear logic, Ann. Pure Appl. Logic 56 (1992), 183–220.
P.-L. Curien, Concrete data structures, sequential algorithms, and linear logic, electronic posting on Types network (1992).
M. Dummett, Elements of Intuitionism, Oxford University Press, 1977.
D. Gale and F. M. Stewart, Infinite games with perfect information, Ann. Math. Studies 28 (1953), 245–266.
J.-Y. Girard, Linear logic, Theoret. Comp. Sci. 50 (1987), 1–102.
J.-Y. Girard. Towards a geometry of interaction, Categories in Computer Science and Logic (J. Gray and A. Scedrov, eds.), Contemp. Math. 92, Amer. Math. Soc., 1989, pp. 69–108.
J.-Y. Girard, Y. Lafont, and P. Taylor, Proofs and Types, Cambridge Tracts in Theoretical Computer Science 7, Cambridge University Press, 1989.
W. A. Howard, The formulae-as-types notion of construction, To H. B. Curry: Essays on Combinatory Logic, Lambda Calculus and Formalism (J. R. Hindley and J. P. Seldin, eds.), Academic Press, 1980, pp. 479–490.
J. M. E. Hyland and C.-H. L. Ong, Fair games and full completeness for multiplicative linear logic without the MIX-rule, preprint (1993).
F. Lamarche, Sequentiality, games and linear logic, preprint (1992).
P. Lorenzen, Ein dialogisches Konstruklivitätskriterium, Infinitistic Methods, PWN, 1961, pp. 193–200.
H. Simmons, Logic and Computation — Taking the Curry-Howard Correspondence Seriously, Lecture notes distributed at the European Summer Meeting of the Association for Symbolic Logic, Keele, England, 1993.
A. S. Troelstra and D. van Dalen, Constructivism in Mathematics — An Introduction, Vol.1, North-Holland, 1988.
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© 1994 Springer-Verlag Berlin Heidelberg
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Blass, A. (1994). Is game semantics necessary?. In: Börger, E., Gurevich, Y., Meinke, K. (eds) Computer Science Logic. CSL 1993. Lecture Notes in Computer Science, vol 832. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0049324
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DOI: https://doi.org/10.1007/BFb0049324
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