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Part of the book series: Progress in Computer Science and Applied Logic ((PCS,volume 11))

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Abstract

Higher-order unification is a method for unifying terms in the Simple Theory of Types [28], that is, given two typed lambda-terms e1 and e2, finding a substitution σ for the free variables of the two terms such that σ(e1) and σ(e2) are equivalent under the conversion rules of the calculus. As discussed above, this problem is fundamental to theorem proving in higher-order contexts (see Chapter §1 for references). In this chapter, we adapt the method of transformations to higher-order unification.

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© 1991 Springer Science+Business Media New York

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Snyder, W. (1991). Higher Order Unification. In: A Proof Theory for General Unification. Progress in Computer Science and Applied Logic, vol 11. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0435-0_7

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  • DOI: https://doi.org/10.1007/978-1-4612-0435-0_7

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6758-4

  • Online ISBN: 978-1-4612-0435-0

  • eBook Packages: Springer Book Archive

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