Abstract
First, using a recent modularity result [Ohl94b] for unconditional term rewriting systems (TRSs), it is shown that semi-completeness is a modular property of constructor-sharing join conditional term rewriting systems (CTRSs). Second, we do not only extend results of Middeldorp [Mid93] on the modularity of termination for disjoint CTRSs to constructor-sharing systems but also simplify the proofs considerably. Moreover, we refute a conjecture of Middeldorp [Mid93] which is related to the aforementioned results.
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Ohlebusch, E. (1995). Modular properties of constructor-sharing conditional term rewriting systems. In: Dershowitz, N., Lindenstrauss, N. (eds) Conditional and Typed Rewriting Systems. CTRS 1994. Lecture Notes in Computer Science, vol 968. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60381-6_18
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DOI: https://doi.org/10.1007/3-540-60381-6_18
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