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Properties of Substitutions and Unifications

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GWAI-83

Part of the book series: Informatik-Fachberichte ((INFORMATIK,volume 76))

Abstract

In this paper the set of first order substitutions with a partial ordering “more general than” is investigated. It is proved that the set of equivalence classes of idempotent substitutions together with an added greatest element is a complete lattice. A simultaneous unification of finitely many finite sets of terms can be reduced to unifying each of the sets of terms separately and then building the supremum of the most general unifiers in this lattice. This saves time in an automatic proof procedure when combined with the concept of weak unification also introduced in this paper.

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References

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Author information

Authors and Affiliations

  1. Institut fuer Infomatik, Technische Universitaet Muenchen, Postfach 202420, D-8000, Muenchen 2, Germany

    Elmar Eder

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  1. Elmar Eder
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Editor information

Editors and Affiliations

  1. Fachbereich Informatik, Universität Hamburg, Schlüterstraße 70, 2000, Hamburg 13, Germany

    Bernd Neumann

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© 1983 Springer-Verlag Berlin Heidelberg

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Eder, E. (1983). Properties of Substitutions and Unifications. In: Neumann, B. (eds) GWAI-83. Informatik-Fachberichte, vol 76. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-69391-5_18

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  • DOI: https://doi.org/10.1007/978-3-642-69391-5_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12871-7

  • Online ISBN: 978-3-642-69391-5

  • eBook Packages: Springer Book Archive

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