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A Lower Bound on Unambiguous Context Free Grammars via Communication Complexity

Summary: Establishes a doubly-exponential gap: finite languages admit general CFG representations that are doubly-exponentially smaller than unambiguous CFGs. Develops a non-standard communication-complexity reduction with a discrepancy-style lower bound, showing NFAs can be exponentially smaller than unambiguous CFGs. (summarized by gpt-5-nano on Feb 09 2026)

Paper ID
1991
Venue
PODS
Year
2025
Pagerank
5.093636e-05
Overall Rank
10,636 | 27.03%
DOI
10.1145/3725225

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BibTeX Citation

@inproceedings{mengel_pods25,
        address = {New York, NY, USA},
        series = {{PODS} '25},
        title = {{A Lower Bound on Unambiguous Context Free Grammars via Communication Complexity}},
        url = {https://dl.acm.org/doi/10.1145/3725225},
        doi = {10.1145/3725225},
        booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
        publisher = {Association for Computing Machinery},
        author = {Mengel, Stefan and Vinall-Smeeth, Harry},
        year = {2025}
}

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