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US/Japan Workshop on Parallel Symbolic Computing

PSC 1992: Parallel Symbolic Computing: Languages, Systems, and Applications pp 155–160Cite as

Running higher-order unification in PaiLisp

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 748))

Abstract

In this report, I describe an experience in using PaiLisp, a parallel implementation of Scheme, for a reasonably large application in symbolic computation. The application is higher-order unification in a typed λ-calculus, where a unification procedure solves equations containing unknown variables ranging over functions. For a large and balanced unification problem, I could gain almost linear speed-up up to the maximum number of processors.

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References

  1. Elliott, C. M.: Some extensions and applications of higher-order unification, Ph.D Thesis, School of Computer Science, Carnegie Mellon University, 1990.

    Google Scholar 

  2. Snyder, W., Gallier, J.: Higher-order unification revisited: Complete sets of transformations, Journal of Symbolic Computation, Vol. 8, Nos 1&2 (1989), pp. 101–140.

    MathSciNet  Google Scholar 

  3. Hagiya, M.: Programming by example and proving by example using higher-order unification, 10th International Conference on Automated Deduction (Stickel,M., ed.), Lecture Notes in Artificial Intelligence, Vol.449 (1990), pp.588–602.

    Google Scholar 

  4. Hagiya, M.: ¿From programming-by-example to proving-by-example, Theoretical Aspects of Computer Software (Ito, T., Meyer, A. R., eds.), Lecture Notes in Computer Science, Vol.526 (1991), pp.387–419.

    Google Scholar 

  5. Hagiya, M.: Higher-order unification as a theorem proving procedure, Eighth International Conference on Logic Programming, 1991, pp.270–284.

    Google Scholar 

  6. Huet, G. P.: A unification algorithm for typed λ-calculus, Theoretical Computer Science, Vol. 1 (1975), pp. 27–57.

    Article  MATH  MathSciNet  Google Scholar 

  7. Ito. T., Matsui, M.: A parallel Lisp language PaiLisp and its kernel specification, Parallel Lisp: Languages and Systems, (Ito, T., Halstead, R. H. Jr., eds.), Lecture Notes in Computer Science, Vol.441 (1990), pp.58–100.

    Google Scholar 

  8. Pym, D.: Proofs, search and computation in general logic, Ph.D Thesis, Department of Computer Science, University of Edinburgh, CST-69-90, 1990.

    Google Scholar 

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Authors and Affiliations

  1. Department of Information Science, Graduate School of Science, University of Tokyo, Hongo 7-3-1, Bunkyo-ku, 113, Tokyo, Japan

    Masami Hagiya

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  1. Masami Hagiya
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Robert H. Halstead Jr. Takayasu Ito

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© 1993 Springer-Verlag Berlin Heidelberg

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Hagiya, M. (1993). Running higher-order unification in PaiLisp. In: Halstead, R.H., Ito, T. (eds) Parallel Symbolic Computing: Languages, Systems, and Applications. PSC 1992. Lecture Notes in Computer Science, vol 748. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0018651

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  • DOI: https://doi.org/10.1007/BFb0018651

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57396-8

  • Online ISBN: 978-3-540-48133-1

  • eBook Packages: Springer Book Archive

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