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Expressive power under context-free and linear restrictions

Characterize the classes of musical compositions that can be orchestrated by n-generative rule-synchronized music grammar systems when each component grammar is restricted to context-free rules or, more strongly, to linear rules.

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Background

The current system relies on scattered context grammars in each component to capture complex interdependencies across instruments. The authors propose restricting components to simpler rule families (context-free, linear) and pose the question of what music remains generable under such constraints.

This seeks a fine-grained understanding of the expressive trade-offs between more powerful synchronized rewriting and simpler grammar components.

References

Although we have described this kind of orchestration in a rather great detail, there still remain many open problem areas related to the subject of this paper. Next, we suggest five of them. (3) Restrict the systems from Section~\ref{sec:Definitions} so they can use only context-free or even linear rules. What kind of music can be orchestrated by systems restricted in this way?

Orchestration of Music by Grammar Systems (2507.15314 - Makiš et al., 21 Jul 2025) in Section Conclusion, item (3)