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Abstract Interpretation of Probabilistic Semantics

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Book cover Static Analysis (SAS 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1824))

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Abstract

Following earlier models, we lift standard deterministic and nondeterministic semantics of imperative programs to probabilistic semantics. This semantics allows for random external inputs of known or unknown probability and random number generators.

We then propose a method for analysing programs according to this semantics, in the general framework of abstract interpretation. This method lifts an “ordinary” abstract lattice, for non-probabilistic programs, to one suitable for probabilistic programs.

Our construction is highly generic. We discuss the influence of certain parameters on the precision of the analysis, basing ourselves on experimental results.

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Author information

Authors and Affiliations

  1. LIENS 45 rue d’Ulm, 75230, Paris cedex 5, France

    David Monniaux

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  1. David Monniaux
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of California, Los Angeles, USA

    Jens Palsberg

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© 2000 Springer-Verlag Berlin Heidelberg

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Monniaux, D. (2000). Abstract Interpretation of Probabilistic Semantics. In: Palsberg, J. (eds) Static Analysis. SAS 2000. Lecture Notes in Computer Science, vol 1824. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45099-3_17

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  • DOI: https://doi.org/10.1007/978-3-540-45099-3_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67668-3

  • Online ISBN: 978-3-540-45099-3

  • eBook Packages: Springer Book Archive

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