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A tour of the multivariate lambda calculus

In J. Dunn & A. Gupta (eds.), Truth or Consequences: Essays in Honor of Nuel Belnap. Boston, MA, USA: Kluwer Academic Publishers. pp. 209--229 (1990)

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  1. On the proof theory of Coquand's calculus of constructions.Jonathan P. Seldin - 1997 - Annals of Pure and Applied Logic 83 (1):23-101.
  • Why Ramify?Harold T. Hodes - 2015 - Notre Dame Journal of Formal Logic 56 (2):379-415.
    This paper considers two reasons that might support Russell’s choice of a ramified-type theory over a simple-type theory. The first reason is the existence of purported paradoxes that can be formulated in any simple-type language, including an argument that Russell considered in 1903. These arguments depend on certain converse-compositional principles. When we take account of Russell’s doctrine that a propositional function is not a constituent of its values, these principles turn out to be too implausible to make these arguments troubling. (...)
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