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A Differential Fixpoint Evaluation Framework for Non-distributive Systems

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Programming Languages and Systems (APLAS 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2895))

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Abstract

We devise a differential fixpoint computation method and develop a new worklist algorithm based on it. Differential methods avoid redundant computation by calculating only the increment of repeated computations. Compared with other differential methods, our method deals with non-distributive functions which often occur in practical program analyses. Also, our worklist algorithm can adopt any worklist scheduling policy satisfying restrictions imposed by differential evaluation. As a practical application, we present an abstract interpretation framework and implement constant and alias analysis and memory lifetime analysis based on it. Our experiment shows that our method can save computation and worklist scheduling is important also in differential evaluations.

This research was supported by IRC (Internet Information Retrieval Research Center) in Hankuk Aviation University. IRC is a Kyounggi-Province Regional Research Center designed by Korea Science and Engineering Foundation and Ministry of Science & Technology.

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Ahn, J., Kwon, Y.J. (2003). A Differential Fixpoint Evaluation Framework for Non-distributive Systems. In: Ohori, A. (eds) Programming Languages and Systems. APLAS 2003. Lecture Notes in Computer Science, vol 2895. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-40018-9_11

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  • DOI: https://doi.org/10.1007/978-3-540-40018-9_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20536-4

  • Online ISBN: 978-3-540-40018-9

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