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Substructural Type Systems for Program Analysis

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Functional and Logic Programming (FLOPS 2008)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 4989))

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Abstract

Since linear logic was proposed by Girard, a number of type systems inspired by linear logic (or substructural logics in general) have been proposed. Examples include linear type systems, where the weakening and contraction rules are restricted, and ordered type systems, where the exchange rule is also restricted. Those type systems turned out to be very useful for reasoning about temporal properties of programs, like a memory cell is deallocated only once, or a memory cell is never read or written after it is deallocated. In this talk, I will focus on substructural type systems for program analysis, and review their principles and applications [1,2,3,4,5]. I will also discuss some emerging techniques and future directions of substructural-type-based program analysis.

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References

  1. Igarashi, A., Kobayashi, N.: Resource usage analysis. ACM Transactions on Programming Languages and Systems 27(2), 264–313 (2005)

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  2. Kobayashi, N.: Quasi-linear types. In: Proceedings of ACM SIGPLAN/SIGACT Symposium on Principles of Programming Languages, pp. 29–42 (1999)

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  3. Kobayashi, N., Pierce, B.C., Turner, D.N.: Linearity and the pi-calculus. ACM Transactions on Programming Languages and Systems 21(5), 914–947 (1999)

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  4. Kodama, K., Suenaga, K., Kobayashi, N.: Translation of tree-processing programs into stream-processing programs based on ordered linear type. Journal of Functional Programming ( to appear). In: Chin, W.-N. (ed.) APLAS 2004. LNCS, vol. 3302, pp. 41–56. Springer, Heidelberg (2004)

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  5. Turner, D.N., Wadler, P., Mossin, C.: Once upon a type. In: Proceedings of Functional Programming Languages and Computer Architecture, San Diego, California, pp. 1–11 (1995)

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Jacques Garrigue Manuel V. Hermenegildo

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© 2008 Springer-Verlag Berlin Heidelberg

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Kobayashi, N. (2008). Substructural Type Systems for Program Analysis. In: Garrigue, J., Hermenegildo, M.V. (eds) Functional and Logic Programming. FLOPS 2008. Lecture Notes in Computer Science, vol 4989. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78969-7_3

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  • DOI: https://doi.org/10.1007/978-3-540-78969-7_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-78968-0

  • Online ISBN: 978-3-540-78969-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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