Abstract
We consider the setting of L-nets, recently introduced by Faggian and Maurel as a game model of concurrent interaction and based on Girard’s Ludics. We show how L-nets satisfying an additional condition, which we call logical L-nets, can be sequentialized into traditional tree-like strategies, and vice-versa.
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References
Amadio, R., Curien, P.-L.: Domains and Lambda-calculi. Cambridge University Press, Cambridge (1998)
Andreoli, J.-M.: Focussing and proof construction. Annals of Pure and Applied Logic (2001)
Andreoli, J.-M.: Focussing proof-net construction as a middleware paradigm. In: Voronkov, A. (ed.) CADE 2002. LNCS (LNAI), vol. 2392, p. 501. Springer, Heidelberg (2002)
Curien, P.-L.: Abstract bohm trees. MSCS 8(6) (1998)
Curien, P.-L.: Introduction to linear logic and ludics, part ii. To appear in Advances of Mathematics, China (2004), Available at http://www.pps.jussieu.fr/curien
Faggian, C.: Travelling on designs: ludics dynamics. In: Bradfield, J.C. (ed.) CSL 2002 and EACSL 2002. LNCS, vol. 2471, p. 427. Springer, Heidelberg (2002)
Faggian, C., Hyland, M.: Designs, disputes and strategies. In: Bradfield, J.C. (ed.) CSL 2002 and EACSL 2002. LNCS, vol. 2471, p. 442. Springer, Heidelberg (2002)
Faggian, C., Maurel, F.: Ludics nets, a game model of concurrent interaction. In: Proc. of LICS (Logic in Computer Science), IEEE Computer Society Press, Los Alamitos (2005)
Girard, J.-Y.: Linear logic. Theoretical Computer Science (50), 1–102 (1987)
Girard, J.-Y.: On the meaning of logical rules i: syntax vs. semantics. In: Berger, Schwichtenberg (eds.) Computational logic. NATO series F, vol. 165, pp. 215–272. Springer, Heidelberg (1999)
Girard, J.-Y.: Locus solum. MSCS 11, 301–506 (2001)
Hughes, D., van Glabbeek, R.: Proof nets for unit-free multiplicative-additive linear logic. ACM Transactions on Computational Logic (2005)
Hyland, M., Ong, L.: On full abstraction for PCF. Information and Computation (2000)
Laurent, O.: Etude de la polarisation en logique. PhD thesis (2002)
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Curien, PL., Faggian, C. (2005). L-Nets, Strategies and Proof-Nets. In: Ong, L. (eds) Computer Science Logic. CSL 2005. Lecture Notes in Computer Science, vol 3634. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11538363_13
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DOI: https://doi.org/10.1007/11538363_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28231-0
Online ISBN: 978-3-540-31897-2
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