Abstract
We introduce H-systems as language generators using the concept of homomorphic replacement of variables by words from metalanguages. This is a generalization of the hypernotion construct in van Wijngaarden grammars with a number of hard open problems. Here we concentrate on the generative power of the language families which result from varying the sets of axioms, resp. the sets of replacements, from ONE through the metalinear languages to CF.
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