Closure properties of context-free hyperedge replacement systems

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Abstract

Hyperedge replacement systems are investigated in terms of closure properties with respect to language operators such as union, intersection and concatenation. It is shown that context-free HR systems are closed under union, coalesced sum and concatenation but not under intersection, giving an explicit counterexample.

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Ciotti, O., & Parisi-Presicce, F. (1997). Closure properties of context-free hyperedge replacement systems. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1197 LNCS, pp. 101–113). https://doi.org/10.1007/3-540-62559-3_10

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