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Substitution Tree Indexing (1994)  (Make Corrections)  (20 citations)
Peter Graf



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Abstract: The performance of a theorem prover crucially depends on the speed of the basic retrieval operations, such as finding terms that are unifiable with (instances of, or more general than) a given query term. In this paper a new indexing method is presented, which outperforms traditional methods such as path indexing, discrimination tree indexing and abstraction trees. Additionally, the new index not only supports term indexing but also provides maintenance and efficient retrieval of substitutions. ... (Update)

Cited by:   More
First-Order Term Compression: Techniques and Applications - Cheney (1998)   (Correct)
Implementing Anti-Unification Modulo Equational Theory - Burghardt, Heinz   (Correct)
Indexing Methods for Efficient Parsing with Typed Feature.. - Munteanu (2004)   (Correct)

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0.4:   On the Evaluation of Indexing Techniques for Theorem.. - Nieuwenhuis, Riazanov.. (2003)   (Correct)
0.4:   Advanced Indexing Operations on Substitution Trees - Graf, Meyer   (Correct)
0.3:   Experiments with Discrimination-Tree Indexing and Path Indexing.. - McCune (1990)   (Correct)

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0.3:   Higher-Order Substitution Tree Indexing - Pientka (2003)   (Correct)
0.1:   The Constraint-Based Layout Framework LayLab and Its Applications - Graf (1996)   (Correct)
0.1:   Towards a Reference Model for Intelligent Multimedia Layout - Graf (1996)   (Correct)

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12:   and fast term rewriting (context) - Christian - 1993
10:   Experiments with Discrimination-Tree Indexing and Path Indexing for Term Retriev.. - McCune - 1990
6:   The Anatomy of Vampire: Implementing Bottom-up Procedures with Code Trees (context) - Voronkov - 1995

BibTeX entry:   (Update)

Peter Graf. Substitution Tree Indexing. In J. Hsiang, editor, 6th RTA, LNCS 914, pages 117--131, Kaiserslautern, Germany, April 4--7, 1995. Springer-Verlag. http://citeseer.ist.psu.edu/graf94substitution.html   More

@techreport{ graf94substitution,
    author = "Peter Graf",
    title = "Substitution Tree Indexing",
    number = "MPI-I-94-251",
    address = "Saarbruecken",
    year = "1994",
    url = "citeseer.ist.psu.edu/graf94substitution.html" }
Citations (may not include all citations):
634   A machine--oriented logic based on the resolution principle (context) - Robinson - 1965
44   Experiments with discrimination-tree indexing and path-index.. - McCune - 1992
22   and fast term rewriting (context) - Christian, discrimination - 1993
20   Associative-commutative discrimination nets (context) - Bachmair, Chen et al. - 1993
13   The path--indexing method for indexing terms - Stickel - 1989
12   Abstraction tree indexing for terms - Ohlbach - 1990
11   The anatomy of vampire: Implementing bottom--up procedures w.. (context) - Voronkov - 1994
7   a sometimes undervalued procedure (context) - Wos, Overbeek et al.
7   Extended path--indexing (context) - Graf - 1994
6   Max-Planck-Institut fur Informatik (context) - Graf, for et al. - 1992
6   Compilation of recursive two-literal clauses into unificatio.. - Ohlbach - 1990
4   Data structures and control architectures for the implementa.. (context) - Lusk, Overbeek - 1980
3   Formula databases for high--performance resolution /paramodu.. (context) - Butler, Overbeek - 1994



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