Growing Commas. A Study of Sequentiality and Concatenation

Albert Visser · Notre Dame Journal of Formal Logic · 2009

In his paper "Undecidability without arithmetization," Andrzej Grzegorczyk introduces a theory of concatenation TC . We show that pairing is not definable in TC . We determine a reasonable extension of TC that is sequential, that is, has a good sequence coding.

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