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arXiv 2608.18813cs.FLcs.AIcs.LOmath.LO

$O_2$的MCFL性质的强化

A strengthening of the MCFL-ness of $O_2$

  • Lancaster University(兰卡斯特大学)

机构由 AI 辅助整理,请以论文原文为准。

Marco B. Caminati

AI总结:

本文针对$O_2$是多重上下文无关文法(MCFG)的已有证明,基于字符串元组因式分解得出更强的刻画结果,可应用于计算语言学与计算代数领域。

AI中文摘要:

近年来已有多篇论文证明$O_2$是多重上下文无关文法(MCFG),这类结果可应用于计算语言学与计算代数领域。本文聚焦于近期利用字符串元组因式分解给出的证明,得出新结果,对这类因式分解的刻画比现有定理更强。

英文摘要:

In the last years, a number of proofs of the fact that $O_2$ is a multiple context-free grammar (MCFG) were given. Such results can be exploited in the fields of both computational linguistics and of computational algebra. Here, we focus on a recent such proof spelled in terms of factorizations of string tuples, and give a new result with a stronger characterization of such factorizations than in existing theorems.

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