A general form of relative recursion

Jaap van Oosten

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A general form of relative recursion

Jaap van Oosten

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Abstract

For every partial combinatory algebra (pca) $A$ and every partial endofunction on $A$, a pca $A[f]$ is constructed such that in $A[f]$, the function $f$ is representable by an element; a universal property of the construction is formulated in terms of Longley's 2-category of pcas and decidable applicative morphisms.

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BibTeX RIS

Jaap van Oosten. 2005-10-10. A general form of relative recursion. https://arxiv.org/abs/math/0510189

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