The self-embedding theorem of WKL0 and a non-standard method

Kazuyuki Tanaka

doi:10.1016/S0168-0072(95)00058-5

The self-embedding theorem of WKL₀ and a non-standard method

Kazuyuki Tanaka

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

Abstract

We prove that every countable non-standard model of WKL₀ has a proper initial part isomorphic to itself. This theorem enables us to carry out non-standard arguments over WKL₀.

Original language	English
Pages (from-to)	41-49
Number of pages	9
Journal	Annals of Pure and Applied Logic
Volume	84
Issue number	1
DOIs	https://doi.org/10.1016/S0168-0072(95)00058-5
Publication status	Published - 1997 Mar 6

ASJC Scopus subject areas

Logic

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10.1016/S0168-0072(95)00058-5

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The self-embedding theorem of WKL₀ and a non-standard method

Abstract

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