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Epsilon substitution method for [Π01, Π01]-FIX

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Abstract

We formulate epsilon substitution method for a theory [Π01, Π01]-FIX for two steps non-monotonic Π01 inductive definitions. Then we give a termination proof of the H-processes based on Ackermann [1].

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  1. Graduate School of Science and Technology, Kobe University, Rokko-dai, Nada-ku, Kobe, 657-8501, Japan

    T. Arai

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  1. T. Arai
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Arai, T. Epsilon substitution method for [Π01, Π01]-FIX. Arch. Math. Logic 44, 1009–1043 (2005). https://doi.org/10.1007/s00153-005-0290-2

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  • DOI: https://doi.org/10.1007/s00153-005-0290-2

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