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Minus-normal sequential calculi

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Literature Cited

  1. S. C. Kleene, Introduction to Metamathematics, Van Nostrand, Princeton (1952).

    Google Scholar 

  2. V. P. Orevkov, “On Glivenkovskii sequence classes,” in: Transactions of the Mathematical Institute, Academy of Sciences of the USSR [in Russian], Moscow (1968), pp. 131–154.

  3. V. A. Matulis, “Two variants of the classical predicate calculus without structural rules of derivation,” Dokl. Akad. Nauk SSSR,147, No. 5, 1029–1031 (1962).

    Google Scholar 

  4. M. H. Löb, “A reduction theorem for predicate logic,” Symbolic Logic,37, No. 2, 352–354 (1972).

    Google Scholar 

  5. S. Kanger, “A simplified proof method for elementary logic,” in: Computer Programming and Formal Systems, Studies in Logic, Amsterdam (1963), pp. 87–93.

  6. G. E. Mints, “Variation of proof-search tactics in sequential calculi,” in: Notes of Scientific Seminars of the Leningrad Department of the Mathematics Institute, Academy of Sciences of the USSR [in Russian] (1967), pp. 134–151.

  7. S. Yu. Maslov, “Reversible sequential variant of the constructive predicate calculus,” ibid. in: Notes of Scientific Seminars of the Leningrad Department of the Mathematics Institute, Academy of Sciences of the USSR [in Russian] (1967), pp. 96–111.

  8. S. A. Norgela, “Increased complexity of derivations with introduction of minus-normality,” in: Theory of Logical Derivation (Abstracts) [in Russian], Moscow (1974), pp. 105–108.

  9. S. Yu. Maslov, “On proof search in calculi of a general type,” in: Notes of Scientific Seminars of the Leningrad Department of the Mathematics Institute, Academy of Sciences of the USSR [in Russian], Vol. 32, (1972), pp. 59–65.

  10. S. Yu. Maslov and S. A. Norgela, “On rules of the type of section in calculi of general type,” in: Notes of Scientific Seminars of the Leningrad Department of the Mathematics Institute, Academy of Sciences of the USSR [in Russian], Vol. 40 (1974), pp. 63–76.

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Authors
  1. S. A. Norgela
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Translated from Kibernetika, No. 3, pp. 33–38, May–June, 1977.

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Norgela, S.A. Minus-normal sequential calculi. Cybern Syst Anal 13, 346–352 (1977). https://doi.org/10.1007/BF01069651

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