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Advanced indexing operations on substitution trees

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Automated Deduction — Cade-13 (CADE 1996)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1104))

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Abstract

Indexing techniques support the retrieval and maintenance of large sets of terms. There is also an indexing method called substitution tree indexing that efficiently handles sets of substitutions. We present three advanced indexing operations for substitution trees: The multi-merge for the simultaneous unification of sets of substitutions, the subsumption operation on two sets of substitutions, and the selection of ‘lightest’ substitutions of a set of substitutions. The indexing operations can be combined to obtain powerful reasoning tools for theorem provers.

This work was supported by the German Science Foundation (DFG).

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Correspondence to Peter Graf .

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M. A. McRobbie J. K. Slaney

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© 1996 Springer-Verlag Berlin Heidelberg

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Graf, P., Meyer, C. (1996). Advanced indexing operations on substitution trees. In: McRobbie, M.A., Slaney, J.K. (eds) Automated Deduction — Cade-13. CADE 1996. Lecture Notes in Computer Science, vol 1104. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61511-3_113

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  • DOI: https://doi.org/10.1007/3-540-61511-3_113

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61511-8

  • Online ISBN: 978-3-540-68687-3

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