Journal of Symbolic Logic

Some Results on Combinators in the System TRC

Thomas Jech

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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.

Article information

Source
J. Symbolic Logic, Volume 64, Issue 4 (1999), 1811-1819.

Dates
First available in Project Euclid: 6 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1183745954

Mathematical Reviews number (MathSciNet)
MR1780086

Zentralblatt MATH identifier
0947.03019

JSTOR
links.jstor.org

Subjects
Primary: 03B40: Combinatory logic and lambda-calculus [See also 68N18]

Keywords
Combinators TRC New Foundations

Citation

Jech, Thomas. Some Results on Combinators in the System TRC. J. Symbolic Logic 64 (1999), no. 4, 1811--1819. https://projecteuclid.org/euclid.jsl/1183745954


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