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Proof Tree Preserving Tree Interpolation

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Abstract

Craig interpolation has a wide range of applications in model checking, verification, and state space abstraction. Recent advances use a more general version of interpolation called tree interpolation. In this paper, we present a method to extract tree interpolants from a proof tree generated by an SMT solver without modifying the proof tree. The framework is general with respect to the theories involved. We instantiate the framework to the combination of the theories of uninterpreted functions and linear arithmetic.

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Authors and Affiliations

  1. University of Freiburg, Georges-Köhler-Allee 52, 79110, Freiburg, Germany

    Jürgen Christ & Jochen Hoenicke

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  1. Jürgen Christ
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  2. Jochen Hoenicke
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Correspondence to Jochen Hoenicke.

Additional information

This work is supported by the German Research Council (DFG) as part of the Transregional Collaborative Research Center “Automatic Verification and Analysis of Complex Systems” (SFB/TR14 AVACS).

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Christ, J., Hoenicke, J. Proof Tree Preserving Tree Interpolation. J Autom Reasoning 57, 67–95 (2016). https://doi.org/10.1007/s10817-016-9365-5

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  • DOI: https://doi.org/10.1007/s10817-016-9365-5

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