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Model-theoretic aspects of unification

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Word Equations and Related Topics (IWWERT 1990)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 572))

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Abstract

Unification is a fundamental operation in various areas of computer science, in particular in automated theorem proving and logic programming. In this paper we establish a relation between unification theory and classical model theory. We show how model-theoretic methods can be used to investigate a generalized form of unification, namely the problem whether, given an equational theory E and a system of equations S, there is an extension of the free algebra in E in which S is solvable.

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K. U. Schulz

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© 1992 Springer-Verlag Berlin Heidelberg

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Bockmayr, A. (1992). Model-theoretic aspects of unification. In: Schulz, K.U. (eds) Word Equations and Related Topics. IWWERT 1990. Lecture Notes in Computer Science, vol 572. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55124-7_7

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  • DOI: https://doi.org/10.1007/3-540-55124-7_7

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55124-9

  • Online ISBN: 978-3-540-46737-3

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