A general form of relative recursion

Mathematics – Logic

Scientific paper

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10 pages, see also http://www.math.uu.nl/people/jvoosten/realizability/relrec.ps.gz

Scientific paper

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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