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Propositional Interpolation and Abstract Interpretation

  • Vijay D’Silva
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6012)

Abstract

Algorithms for computing Craig interpolants have several applications in program verification. Though different algorithms exist, the relationship between them and the properties of the interpolants they generate are not well understood. This paper is a study of interpolation algorithms for propositional resolution proofs. We show that existing interpolation algorithms are abstractions of a more general, parametrised algorithm. Further, existing algorithms reside in the coarsest abstraction that admits correct interpolation algorithms. The strength of interpolants constructed by existing interpolation algorithms and the variables they eliminate are analysed. The algorithms and their properties are formulated and analysed using abstract interpretation.

Keywords

Inference Rule Closure Operator Complete Lattice Conjunctive Normal Form Interpolation Algorithm 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Vijay D’Silva
    • 1
  1. 1.Computing LaboratoryOxford University 

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