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A faithful embedding of parallel computations in star-finite models

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Abstract

The purpose of this paper is to show that there exist star-finite tree-structured sets in which the computations of parallel programs can be faithfully embedded, and that the theory of star-finite sets and relations therefore provides a new tool for the analysis of non-deterministic computations.

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Reference

  1. L. Csirmaz, Programs and program verification in a general setting, Theoret. Comp. Sci. 16 (1981), pp. 199–210.

    Google Scholar 

  2. L. Csirmaz, Nonstandard semantics in program verification, Hungarian Academy of Sciences, 1984.

  3. N. J. Cutland, Computability, Cambridge 1980.

  4. E. J. Farkas, A type structure for parallel programs, Ph.D. Thesis, Concordia University, Montreal 1985.

    Google Scholar 

  5. E. J. Farkas and M. E. Szabo, On ihn progarms-as-formulas interpretationion of parallel programs in Peano arithmetic, Annals of Pure and Applied Logic 37 (1988), pp. 111–127.

    Google Scholar 

  6. E. J. Farkas and M. E. Szabo, Stochastic analysis of loop programs, 1986. To appear.

  7. S. Hart, M. Sharir and A. Pnueli, Termination of probabilistic concurrent programs, ACM Trans, on Programming Languages and Systems 5 (1983), pp. 356–380.

    Google Scholar 

  8. M. M. Richter, Ideale Punkte, Monaden, und Nichtstandard-Methoden, Vieweg, 1982.

  9. M. M. Richter and M. E. Szabo, Towards a nonstandard analysis oj programs, in: A. E. Hurd, ed., Nonstandard Analysis — Recent Developments, Lecture Notes in Mathematics 983, Springer-Verlag, 1983.

  10. M. M. Richtr and M. E. Szabo. Nonstandard computation theory. in: J. Demetrovics. G. Katona, and A. Salomaa, eds., Algebra, Combinatorics, and Logic in Computer Science, Colloquia Mathematica Soc. J. Bolyai 42, North-Holland, Amsterdam, 1983.

    Google Scholar 

  11. M. E. Szabo, On some arithmetically expressible properties of programs, in: G. Mirkowska and H Rasiowa. eds. Mathematical Problems in Computer Science, Banach Center Publications 21. Warsaw. 1986. pp.383 392.

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This research was carried out while the author held a Postdoctoral Fellowship from the Natural Sciences and Engineering Research Council of Canada. The author also gratefully acknowledges the support of the Centre inter-universitaire en études catégoriques de Montréal.

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Farkas, E.J. A faithful embedding of parallel computations in star-finite models. Stud Logica 47, 203–212 (1988). https://doi.org/10.1007/BF00370551

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  • DOI: https://doi.org/10.1007/BF00370551

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