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Adding algebraic rewriting to the untyped lambda calculus (extended abstract)

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Rewriting Techniques and Applications (RTA 1991)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 488))

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Abstract

We investigate the system obtained by adding an algebraic rewriting system R to the untyped lambda calculus. On certain classes of terms, called here “stable”, we prove that the resulting calculus is confluent if R is confluent, and terminating if R is terminating. The termination result has the corresponding theorems for several typed calculi as corollaries. The proof of the confluence result yields a general method for proving confluence of typed β reduction plus rewriting; we sketch the application to the polymorphic calculus F ω.

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Authors and Affiliations

  1. Wesleyan University, 06457, Middletown, CT

    Daniel J. Dougherty

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  1. Daniel J. Dougherty
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Ronald V. Book

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© 1991 Springer-Verlag Berlin Heidelberg

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Dougherty, D.J. (1991). Adding algebraic rewriting to the untyped lambda calculus (extended abstract). In: Book, R.V. (eds) Rewriting Techniques and Applications. RTA 1991. Lecture Notes in Computer Science, vol 488. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-53904-2_84

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  • DOI: https://doi.org/10.1007/3-540-53904-2_84

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53904-9

  • Online ISBN: 978-3-540-46383-2

  • eBook Packages: Springer Book Archive

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