Proof-Search in Intuitionistic Logic Based on Constraint Satisfaction

  title={Proof-Search in Intuitionistic Logic Based on Constraint Satisfaction},
  author={Andrei Voronkov},
We characterize provability in intuitionistic predicate logic in terms of derivation skeletons and constraints and study the problem of instantiations of a skeleton to valid derivations. We prove that for two diierent notions of a skeleton the problem is respectively polynomial and NP-complete. As an application of our technique, we demonstrate PSPACE-completeness of the prenex fragment of intuitionistic logic. We outline some applications of the proposed technique in automated reasoning. y y… CONTINUE READING

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