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Recursive versus recursively enumerable binary relations

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Abstract

The properties of antisymmetry and linearity are easily seen to be sufficient for a recursively enumerable binary relation to be recursively isomorphic to a recursive relation. Removing either condition allows for the existence of a structure where no recursive isomorph exists, and natural examples of such structures are surveyed.

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Authors and Affiliations

  1. Dept. of Mathematics, Florida International University The State University of Florida at Miami, 33199, Miami, FL, USA

    Dev K. Roy

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  1. Dev K. Roy
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Roy, D.K. Recursive versus recursively enumerable binary relations. Stud Logica 52, 587–593 (1993). https://doi.org/10.1007/BF01053261

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