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Computer Science > Computation and Language

arXiv:2305.00522 (cs)
[Submitted on 30 Apr 2023]

Title:How to enumerate trees from a context-free grammar

Authors:Steven T. Piantadosi
View a PDF of the paper titled How to enumerate trees from a
context-free grammar, by Steven T. Piantadosi
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    Abstract:I present a simple algorithm for enumerating the trees
    generated by a Context Free Grammar (CFG). The algorithm uses a
    pairing function to form a bijection between CFG derivations and
    natural numbers, so that trees can be uniquely decoded from
    counting. This provides a general way to number expressions in
    natural logical languages, and potentially can be extended to
    other combinatorial problems. I also show how this algorithm may
    be generalized to more general forms of derivation, including
    analogs of Lempel-Ziv coding on trees.

Subjects: Computation and Language (cs.CL)
Cite as:  arXiv:2305.00522 [cs.CL]
          (or arXiv:2305.00522v1 [cs.CL] for this version)
          https://doi.org/10.48550/arXiv.2305.00522
          Focus to learn more
          arXiv-issued DOI via DataCite

Submission history

From: Steven Piantadosi [view email]
[v1] Sun, 30 Apr 2023 16:40:54 UTC (28 KB)
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