The axiom of choice and combinatory logic

Journal of Symbolic Logic 68 (4):1091-1108 (2003)
Abstract
We combine a variety of constructive methods (including forcing, realizability, asymmetric interpretation), to obtain consistency results concerning combinatory logic with extensionality and (forms of) the axiom of choice
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DOI 10.2178/jsl/1067620175
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Notes on Formal Theories of Truth.Andrea Cantini - 1989 - Zeitshrift für Mathematische Logik Und Grundlagen der Mathematik 35 (1):97--130.
Notes on Formal Theories of Truth.Andrea Cantini - 1989 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 35 (2):97-130.

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