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A fast algorithm for translating combinator expressions with BC-chains

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Abstract

A fast algorithm is presented for translating lambda expressions to combinator trees with BC-chains. The time complexity of this algorithm is O (n log n) in the worst case, where n is the length of an input expression. Furthermore it requires only O (n log n) working space. This result achieves a substantial improvement to the previously known algorithm having the quadratic complexity. The basic idea of the algorithm may be applied to practical processing systems, whether they use BC-chains or not.

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Authors and Affiliations

  1. Department of Industrial Engineering, Chuo University, Kasuga, Bunkyo, 112, Tokyo, Japan

    Kohei Noshita

  2. Department of Information Sciences, University of Tokyo, Hongo, Bunkyo, 112, Tokyo, Japan

    Xiao -Xun He

Authors
  1. Kohei Noshita
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  2. Xiao -Xun He
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Noshita, K., He, X.X. A fast algorithm for translating combinator expressions with BC-chains. New Gener Comput 5, 249–257 (1987). https://doi.org/10.1007/BF03037465

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  • DOI: https://doi.org/10.1007/BF03037465

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