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Functional programming languages with logical variables: A linear logic view

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Progamming Language Implementation and Logic Programming (PLILP 1993)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 714))

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Abstract

The idea of introducing logical variables into functional programming languages has been proposed for some years, and many concrete languages with this feature have been developed. Recently the semantic features of the languages in this paradigm have been uniformly modelled using the constraint computation formalism [RJK92]. However, the operational behaviour of these languages has not been studied systematically. In this paper, we propose a linear logic formalization of the the computational behaviour of functional programming languages with logical variables. It is shown that, with the resource-consciousness of linear logic, the computation of the paradigm can be uniformly modelled as deduction in the logic. Therefore, the model provides the logical meaning for the computation as well as a general abstract machine for the implementation of these languages.

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References

  1. Manuel M. T. Chakravarty and Martin Köhler. Equational constraints, residuation, and the parallel jump-machine. In H. Kuchen and R. Loogen, editors, Proceedings of the 4th International Workshop on the Parallel Implementation of Functional Languages, Technical Report No 92-19, RWTH Aachen, Aachen, 1992.

    Google Scholar 

  2. J. Darlington and Y. Guo. Concurrent definitional constraint programming. Technical report, Dept. of Computing, Imperial College, October 1992.

    Google Scholar 

  3. A.L. Davis and R. M. Keller. Data flow program graphs. Computer, 15(2), Feb 1982.

    Google Scholar 

  4. Jean-Yves Girard. Linear logic. Theoretical Computer Science, 50(1), 1987.

    Google Scholar 

  5. Yike Guo. Definitional Constraint Programming. PhD thesis, Dept. of Computing, Imperial College, 1993. Forth coming.

    Google Scholar 

  6. A.G. Lindstrom. Implementing logical variables on a graph reduction architecture. In J. Fasel and R.M. Keller, editors, Proc. of a Workshop on graph Reduction, Santa Fee, LNCS 279, pages 382–400, 1986.

    Google Scholar 

  7. Narciso Marti-Oliet and Jose Meseguer. From Petri Nets to Linear Logic. In Category Theory and Computer Science, pages 313–340. Springer, 1991.

    Google Scholar 

  8. R. Milner, J. Parrow, and D.Walker. A calculus of mobile processes. Technical report, Dept. of Computer Science, University of Edinburgh, 1989.

    Google Scholar 

  9. R. Nikhil, K. Pingali, and Arvind. Id nouveau. Technical report, M.I.T. Laboratory for Computer Science, 1986. CSG Memo 265.

    Google Scholar 

  10. P. Panangaden R. Jagadeesan and K.Pingali. A fully abstract semantics for a functional language with logic variables. In Proc. of 19th POPL. ACM, 1992.

    Google Scholar 

  11. V. A. Saraswat. Concurrent Constraint Programming Languages. PhD thesis, Carnegie-Mellon University, 1989.

    Google Scholar 

  12. V.A. Saraswat and Patrick Lincoln. Linear concurrent constraínt programming. Technical report, Xerox PARC, Feb 1992. Unpublished Draft.

    Google Scholar 

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Maurice Bruynooghe Jaan Penjam

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© 1993 Springer-Verlag Berlin Heidelberg

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Darlington, J., Guo, Yk., Köhler, M. (1993). Functional programming languages with logical variables: A linear logic view. In: Bruynooghe, M., Penjam, J. (eds) Progamming Language Implementation and Logic Programming. PLILP 1993. Lecture Notes in Computer Science, vol 714. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57186-8_80

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  • DOI: https://doi.org/10.1007/3-540-57186-8_80

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57186-5

  • Online ISBN: 978-3-540-47945-1

  • eBook Packages: Springer Book Archive

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