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Analysis of Logic Programs Using Regular Tree Languages

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Logic-Based Program Synthesis and Transformation (LOPSTR 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7225))

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Abstract

The field of finite tree automata provides fundamental notations and tools for reasoning about sets of terms called regular or recognizable tree languages. We consider two kinds of analysis using regular tree languages, applied to logic programs. The first approach is to try to discover automatically a tree automaton from a logic program, approximating its minimal Herbrand model. In this case the input for the analysis is a program, and the output is a tree automaton. The second approach is to expose or check properties of the program that can be expressed by a given tree automaton. The input to the analysis is a program and a tree automaton, and the output is an abstract model of the program. These two contrasting abstract interpretations can be used in a wide range of analysis and verification problems.

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References

  1. Comon, H., Dauchet, M., Gilleron, R., Löding, C., Jacquemard, F., Lugiez, D., Tison, S., Tommasi, M.: Tree automata techniques and applications (2007), http://www.grappa.univ-lille3.fr/tata (release October 12, 2007)

  2. Cousot, P., Cousot, R.: Abstract interpretation frameworks. Journal of Logic and Computation 2(4), 511–547 (1992)

    Article  MathSciNet  MATH  Google Scholar 

  3. Cousot, P., Cousot, R.: Formal language, grammar and set-constraint-based program analysis by abstract interpretation. In: Proceedings of the Seventh ACM Conference on Functional Programming Languages and Computer Architecture, La Jolla, California, June 25-28, pp. 170–181. ACM Press, New York (1995)

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  4. Gallagher, J.P., Henriksen, K.S., Banda, G.: Techniques for Scaling Up Analyses Based on Pre-interpretations. In: Gabbrielli, M., Gupta, G. (eds.) ICLP 2005. LNCS, vol. 3668, pp. 280–296. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  5. Gallagher, J.P., Puebla, G.: Abstract Interpretation over Non-deterministic Finite Tree Automata for Set-Based Analysis of Logic Programs. In: Adsul, B., Ramakrishnan, C.R. (eds.) PADL 2002. LNCS, vol. 2257, pp. 243–261. Springer, Heidelberg (2002)

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© 2012 Springer-Verlag Berlin Heidelberg

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Gallagher, J.P. (2012). Analysis of Logic Programs Using Regular Tree Languages. In: Vidal, G. (eds) Logic-Based Program Synthesis and Transformation. LOPSTR 2011. Lecture Notes in Computer Science, vol 7225. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32211-2_1

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  • DOI: https://doi.org/10.1007/978-3-642-32211-2_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-32210-5

  • Online ISBN: 978-3-642-32211-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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