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Polymorphic recursion and semi-unification

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CSL '89 (CSL 1989)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 440))

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Abstract

Semi-unification is a common generalization of unification and matching which arose independently in the areas of proof theory, term rewriting, and type theory of programming languages. We introduce semi-unification via the typability problem for polymorphic recursive definitions, present a reduction calculus for semi-unification problems, and discuss partial results on termination of reductions. We prove decidability of semi-unification in two variables.

This work has partially been supported by Esprit basic research project 3230

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Egon Börger Hans Kleine Büning Michael M. Richter

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© 1990 Springer-Verlag Berlin Heidelberg

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Leiß, H. (1990). Polymorphic recursion and semi-unification. In: Börger, E., Büning, H.K., Richter, M.M. (eds) CSL '89. CSL 1989. Lecture Notes in Computer Science, vol 440. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-52753-2_41

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  • DOI: https://doi.org/10.1007/3-540-52753-2_41

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52753-4

  • Online ISBN: 978-3-540-47137-0

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