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Instantiation-Based Interpolation for Quantified Formulae

Authors: Juergen Christ and Jochen Hoenicke

Published in: Dagstuhl Seminar Proceedings, Volume 10161, Decision Procedures in Software, Hardware and Bioware (2010)

Abstract

Interpolation has proven highly effective in program analysis and verification, e. g., to derive invariants or new abstractions. While interpolation for quantifier free formulae is understood quite well, it turns out to be challenging in the presence of quantifiers. We present in this talk modifications to instantiation based SMT-solvers and to McMillan's interpolation algorithm in order to compute quantified interpolants.

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Juergen Christ and Jochen Hoenicke. Instantiation-Based Interpolation for Quantified Formulae. In Decision Procedures in Software, Hardware and Bioware. Dagstuhl Seminar Proceedings, Volume 10161, pp. 1-12, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2010)

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@InProceedings{christ_et_al:DagSemProc.10161.4,
  author =	{Christ, Juergen and Hoenicke, Jochen},
  title =	{{Instantiation-Based Interpolation for Quantified Formulae}},
  booktitle =	{Decision Procedures in Software, Hardware and Bioware},
  pages =	{1--12},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2010},
  volume =	{10161},
  editor =	{Nikolaj Bjorner and Robert Nieuwenhuis and Helmut Veith and Andrei Voronkov},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.10161.4},
  URN =		{urn:nbn:de:0030-drops-27355},
  doi =		{10.4230/DagSemProc.10161.4},
  annote =	{Keywords: Interpolation Quantifier SMT}
}

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Instantiation-Based Interpolation for Quantified Formulae

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