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Multiplicative Linear Logic for resource transformation nets

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Logical Foundations of Computer Science (LFCS 1994)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 813))

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Abstract

In this paper we introduce a new type of nets with distributed resources: resource transformation nets (RT-nets). A new calculus based on Horn fragment of Multiplicative Linear Logic is proposed for this class of models. Theorem of completness is proved.

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References

  1. Arkhangelsky D.A., Dekhtyar M.I., Musikaev I.Kh., Taitslin M.A., Linear Logic For Nets With Bounded Resources, (submitted to LICS'94).

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  2. Archangelsky D.A., Taitslin M.A., Linear Logic With Fixed Resources, Annals of Pure and Appl. Math. Logic (to appear).

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  3. Girard J.Y., Linear Logic, Theoretical Computer Science 50 (1987), 1–102.

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  4. Lafont Y., Interaction Nets, 17th ACM Symp. on Principles of Programming Languages (1990), San Francisco, Cal., 95–108.

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Anil Nerode Yu. V. Matiyasevich

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© 1994 Springer-Verlag Berlin Heidelberg

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Dekhtyar, A.M. (1994). Multiplicative Linear Logic for resource transformation nets. In: Nerode, A., Matiyasevich, Y.V. (eds) Logical Foundations of Computer Science. LFCS 1994. Lecture Notes in Computer Science, vol 813. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58140-5_9

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  • DOI: https://doi.org/10.1007/3-540-58140-5_9

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58140-6

  • Online ISBN: 978-3-540-48442-4

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