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Abstract Interpretation over Non-deterministic Finite Tree Automata for Set-Based Analysis of Logic Programs

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Practical Aspects of Declarative Languages (PADL 2002)

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Abstract

Set-based program analysis has many potential applications, including compiler optimisations, type-checking, debugging, verification and planning. One method of set-based analysis is to solve a set of set constraints derived directly from the program text. Another approach is based on abstract interpretation (with widening) over an infinite-height domain of regular types. Up till now only deterministic types have been used in abstract interpretations, whereas solving set constraints yields non-deterministic types, which are more precise. It was pointed out by Cousot and Cousot that set constraint analysis of a particular program P could be understood as an abstract interpretation over a finite domain of regular tree grammars, constructed from P. In this paper we define such an abstract interpretation for logic programs, formulated over a domain of non-deterministic finite tree automata, and describe its implementation. Both goal-dependent and goal-independent analysis are considered. Variations on the abstract domains operations are introduced, and we discuss the associated tradeoffs of precision and complexity. The experimental results indicate that this approach is a practical way of achieving the precision of set-constraints in the abstract interpretation framework.

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Author information

Authors and Affiliations

  1. Dept. of Computer Science, University of Bristol, BS8 1UB, Bristol, UK

    John P. Gallagher

  2. Facultad de Informática, Universidad Politécnica de Madrid, E-28660, Madrid, Boadilla del Monte

    Germán Puebla

Authors
  1. John P. Gallagher
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  2. Germán Puebla
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Editor information

Editors and Affiliations

  1. Computer Science Department, Brown University, Box 1910, 02912, Providence, RI, USA

    Shriram Krishnamurthi

  2. Department of Computer Science, SUNY at Stony Brook, 11794-4400, Stony Brook, NY, USA

    C. R. Ramakrishnan

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Gallagher, J.P., Puebla, G. (2002). Abstract Interpretation over Non-deterministic Finite Tree Automata for Set-Based Analysis of Logic Programs. In: Krishnamurthi, S., Ramakrishnan, C.R. (eds) Practical Aspects of Declarative Languages. PADL 2002. Lecture Notes in Computer Science, vol 2257. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45587-6_16

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  • DOI: https://doi.org/10.1007/3-540-45587-6_16

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  • Print ISBN: 978-3-540-43092-6

  • Online ISBN: 978-3-540-45587-5

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