Some results on combinators in the system TRC

Journal of Symbolic Logic 64 (4):1811-1819 (1999)
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Abstract

We investigate the system TRC of untyped illative combinatory logic that is equiconsistent with New Foundations. We prove that various unstratified combinators do not exist in TRC

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References found in this work

Combinatory Logic.Haskell B. Curry, J. Roger Hindley & Jonathan P. Seldin - 1977 - Journal of Symbolic Logic 42 (1):109-110.
[Omnibus Review].Robert Feys - 1956 - Journal of Symbolic Logic 21 (4):374-377.
Systems of combinatory logic related to Quine's ‘New Foundations’.M. Randall Holmes - 1991 - Annals of Pure and Applied Logic 53 (2):103-133.
Introduction to Combinators and λ-Calculus.J. Roger Hindley & Jonathan P. Seldin - 1988 - Journal of Symbolic Logic 53 (3):985-986.

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