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On Maximal Block Functions of Computable η-like Linear Orderings

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Language, Life, Limits (CiE 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8493))

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Abstract

We prove the existence of a computable η-like linear ordering such that, for any \(\Pi^0_2\) function G : ℚ → ℕ ∖ {0} and linear ordering , does not have order type τ = ∑ { G(q) | q ∈ ℚ }.

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Harris, C.M. (2014). On Maximal Block Functions of Computable η-like Linear Orderings. In: Beckmann, A., Csuhaj-Varjú, E., Meer, K. (eds) Language, Life, Limits. CiE 2014. Lecture Notes in Computer Science, vol 8493. Springer, Cham. https://doi.org/10.1007/978-3-319-08019-2_22

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  • DOI: https://doi.org/10.1007/978-3-319-08019-2_22

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-08018-5

  • Online ISBN: 978-3-319-08019-2

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