Abstract
It is undecidable whether or not a finite Noetherian term rewriting system is ground-confluent. This undecidability result holds even when systems involving only unary function symbols and one constant are being considered, or when left-linear or right-linear monadic systems are being considered. On the other hand, if all right-hand sides of rules of a finite Noetherian rewriting system R are either ground terms or proper subterms of the corresponding left-hand sides, then it is decidable whether or not R is ground-confluent.
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