Why the occur-check is not a problem

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Abstract

In most Prolog implementations for the efficiency reasons so-called occur-check is omitted from the unification algorithm. We provide here natural syntactic conditions which allow the occur-check to be safely omitted. The established results apply to most well-known Prolog programs and seem to explain why this omission does not lead in practice to any complications.

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Apt, K. R., & Pellegrini, A. (1992). Why the occur-check is not a problem. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 631 LNCS, pp. 69–86). Springer Verlag. https://doi.org/10.1007/3-540-55844-6_128

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