On church's formal theory of functions and functionals: The λ-calculus: connections to higher type recursion theory, proof theory, category theory

Annals of Pure and Applied Logic 40 (2):93-133 (1988)
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10.1016/0168-0072(88)90017-6

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Giuseppe Longo
École Normale Supérieure

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A formulation of the simple theory of types.Alonzo Church - 1940 - Journal of Symbolic Logic 5 (2):56-68.
Resolution in type theory.Peter B. Andrews - 1971 - Journal of Symbolic Logic 36 (3):414-432.
Functional completeness of cartesian categories.J. Lambek - 1974 - Annals of Mathematical Logic 6 (3):259.

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