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Unsolvability of some algorithmic problems for straight-line programs

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Abstract

We show that the problems of one-equivalence, equivalence, and simplification are undecidable for two classes of straight-line programs with a limited set of simple operations and a limited number of input and local variables.

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Literature Cited

  1. O. H. Ibarra and B. S. Leininger, “On the simplification and equivalence problems for straight-line programs,” J. ACM,30, No. 3, 641–656 (1983).

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  2. O. H. Ibarra and B. S. Leininger, “Straight-line programs with one input variable,” SIAM J. Comput.,11, No. 1, 1–15 (1982).

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  3. Yu. V. Matiyasevich, “Diophantine sets,” Usp. Mat. Nauk,22, No. 5, 185–222 (1972).

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  4. Y. Matijasevic (Matiyasevich) and J. Robinson, “Reduction of an arbitrary Diophantine equation to one in 13 unknowns,” Acta Arithm.,27, 521–553 (1975).

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Translated from Kibernetika, No. 1, pp. 63–66, January–February, 1989.

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Shiryaev, D.V. Unsolvability of some algorithmic problems for straight-line programs. Cybern Syst Anal 25, 78–82 (1989). https://doi.org/10.1007/BF01074887

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  • DOI: https://doi.org/10.1007/BF01074887

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