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Preserving cardinals and weak forms of Zorn’s lemma in realizability models

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Abstract We develop a technique for representing and preserving cardinals in realizability models, and we apply this technique to define a realizability model of Zorn’s lemma restricted to an ordinal. Click to show full abstract

Abstract We develop a technique for representing and preserving cardinals in realizability models, and we apply this technique to define a realizability model of Zorn’s lemma restricted to an ordinal.

Keywords: zorn lemma; realizability models; cardinals weak; realizability; preserving cardinals; weak forms

Journal Title: Mathematical Structures in Computer Science
Year Published: 2020

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