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Kumiko Tanaka-Ishii, Yuichiro Ishii

Thirdness as self-reference in computing

Keywords: computing, self-reference, program transformation, fixed-point, abstraction

We argue that the essence of thirdness in computing is self-reference. Our discussion is grounded on the theories of Church and Curry, which have been studied in the domain of theoretical computing. Using their theories, we show that any program can be transformed into a program consisting only of three-term relations, where the essence of the three-term relations lies in self-reference.

Semiotica, Walter de Gruyter

Print ISSN: 0037-1998
Volume: 2006, 06/2006
Pages: 327 - 343

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