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On the scale of local computability potentials of algebras

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Abstract

The concept of the scale of local computability (local program-computability possibilities) of all universal algebras is introduced. The properties of this scale are studied.

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References

  1. A. G. Pinus, “The calculus of conditional equations and conditional rational equality,” Algebra Logika, 37, No. 4, 432–459 (1998).

    MATH  MathSciNet  Google Scholar 

  2. A. G. Pinus, “Conditional terms and its applications in algebra and computations theory,” Usp. Mat. Nauk, 56, No. 4, 35–72 (2001).

    MathSciNet  Google Scholar 

  3. A. G. Pinus, “The scale of computational potentials of all finite algebras,” Sib. Mat. Zh., 48, No. 3, 668–673 (2007).

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  4. A. G. Pinus, “Universal algebras and ideals of the scale of computability potentials of all finite algebras,” Vestn. NGU, 7, No. 2, 93–99 (2007).

    MathSciNet  Google Scholar 

  5. A. G. Pinus, “Automorphisms, formula relations and covers of elements of the scale of computability potentials of all finite algebras,” Algebra Logika, 47, No. 4, 464–474 (2008).

    MATH  MathSciNet  Google Scholar 

  6. A. G. Pinus, “On the elementary theory of the scale of computability potentials of all finite algebras,” to appear.

  7. A. G. Pinus and S. V. Zhurkov, “On the scales of computational potentials of the universal algebras,” Vychisl. Sistemy, 169, 26–38 (2002).

    MATH  MathSciNet  Google Scholar 

  8. A. G. Pinus and S. V. Zhurkov, “The scales of computability potentials: results and problems,” Fundam. Prikl. Mat., 9, No. 3, 145–164 (2003).

    MATH  MathSciNet  Google Scholar 

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Correspondence to A. G. Pinus.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 15, No. 1, pp. 135–145, 2009.

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Pinus, A.G. On the scale of local computability potentials of algebras. J Math Sci 166, 779–786 (2010). https://doi.org/10.1007/s10958-010-9894-0

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