On the Evaluation of Indexing Techniques for Theorem Proving

  • Robert Nieuwenhuis
  • Thomas Hillenbrand
  • Alexandre Riazanov
  • Andrei Voronkov
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2083)


The problem of term indexing can be formulated abstractly as follows (see [19]). Given a set L of indexed terms, a binary relation R over terms (called the retrieval condition) and a term t (called the query term), identify the subset M of L that consists of the terms l such that R(l; t) holds. Terms in M will be called the candidate terms. Typical retrieval conditions used in first-order theorem proving are matching, generalization, unifiability, and syntactic equality. Such a retrieval of candidate terms in theorem proving is interleaved with insertion of terms to L, and deletion of them from L.


Theorem Prove Memory Consumption Query Term Automate Reasoning Candidate Term 
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 2001

Authors and Affiliations

  • Robert Nieuwenhuis
    • 1
  • Thomas Hillenbrand
    • 2
  • Alexandre Riazanov
    • 3
  • Andrei Voronkov
    • 3
  1. 1.Technical University of CataloniaSpain
  2. 2.Universität KaiserslauternGermany
  3. 3.University of ManchesterUK

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