Abstract
We consider conditional context-free grammars that generate languages of finite index. Thereby, we solve an open problem stated in Dassow and Păun's monograph on regulated rewriting. Moreover, we show that conditional context-free languages with context-free conditions of finite index are more powerful than conditional context-free languages with regular conditions of finite index. Furthermore, we study the complexity of membership and non-emptiness for conditional and programmed languages respectively grammars (of finite index) with regular, linear, and context-free core rules and conditions.
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Fernau, H., Holzer, M. (1997). Conditional context-free languages of finite index. In: Păun, G., Salomaa, A. (eds) New Trends in Formal Languages. Lecture Notes in Computer Science, vol 1218. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-62844-4_2
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DOI: https://doi.org/10.1007/3-540-62844-4_2
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