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A characterization of ML in many-sorted arithmetic with conditional application
Journal of Symbolic Logic 57 (3):924 - 953 (1992)
Abstract
In this paper we discuss an interpretation of intuitionistic type theory in many-sorted arithmetic with so-called conditional application. Via the formulas-as-types correspondence the arithmetical system in turn can be embedded in ML, resulting in a characterization of strong Σ-elimination by an axiom of conditional choiceLinks
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References found in this work
Per Martin-Löf. Intuitionistic type theory. Studies in proof theory. Bibliopolis, Naples1984, ix + 91 pp. [REVIEW]W. A. Howard - 1986 - Journal of Symbolic Logic 51 (4):1075-1076.
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