Abstract
We prove that the properties of reachability, joinability and confluence are undecidable for flat TRSs. Here, a TRS is flat if the heights of the left and right-hand sides of each rewrite rule are at most one.
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Mitsuhashi, I., Oyamaguch, M., Jacquemard, F. (2006). The Confluence Problem for Flat TRSs. In: Calmet, J., Ida, T., Wang, D. (eds) Artificial Intelligence and Symbolic Computation. AISC 2006. Lecture Notes in Computer Science(), vol 4120. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11856290_8
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DOI: https://doi.org/10.1007/11856290_8
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