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The Hardest Context-Free Language
SIAM Journal on Computing, 1973There is a context-free language $L_0 $ such that every context-free language is an inverse homomorphic image of $L_0 $ or $L_0 - \{ e\} $. Hence the time complexity of recognition of $L_0 $ is the least upper bound for time complexity of recognition of context-free languages. A similar result holds for quasirealtime Turing machine languages.
Sheila A Greibach
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A context-free language for binary multinomial processing tree models
Journal of Mathematical Psychology, 2009William H Batchelder
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Quotients of Context-Free Languages
Journal of the ACM, 1963Abstract : The following results on the quotient of context free languages CFL are shown: (1) It is recursively unsolvable to determine for arbitrary CFL whether the quotient of one by another is a CFL. (2) If either set is regular and the other is a CFL, then the quotient is a CFL. (Author)
Seymour Ginsburg, Edwin H. Spanier
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The Edit-Distance between a Regular Language and a Context-Free Language
International Journal of Foundations of Computer Science, 2012The edit-distance between two strings is the smallest number of operations required to transform one string into the other. The distance between languages L1and L2is the smallest edit-distance between string wi∈ Li, i = 1, 2.
Yo-Sub Han, Sang-Ki Ko, K. Salomaa
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Natural Languages and Context-Free Languages
Linguistics and Philosophy, 1982In his 1956 paper ‘Three Models for the Description of Language’ Noam Chomsky posed an interesting open question: when we consider the human languages purely as sets of strings of words (henceforth stringsets), do they always fall within the class called context-free languages (CFL’s)?
Geoffrey K. Pullum, Gerald Gazdar
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Journal of the ACM, 1966
In this report, certain properties of context-free (CF or type 2) grammars are investigated, like that of Chomsky. In particular, questions regarding structure, possible ambiguity and relationship to finite automata are considered. The following results are presented: The language generated by a ...
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In this report, certain properties of context-free (CF or type 2) grammars are investigated, like that of Chomsky. In particular, questions regarding structure, possible ambiguity and relationship to finite automata are considered. The following results are presented: The language generated by a ...
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Ambiguity in context free languages
Journal of the ACM, 1966Four principal results about ambiguity in languages (i.e., context free languages) are proved. It is first shown that the problem of determining whether an arbitrary language is inherently ambiguous is recursively unsolvable. Then a decision procedure is presented for determining whether an arbitrary bounded grammar is ambiguous.
Seymour Ginsburg, Joseph S. Ullian
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ACM SIGACT News, 1993
This paper introduces a new level into the Chomsky of formal languages. Specifically the content-free languages are a subset of the regular languages. Content-free languages have many interesting properties.
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This paper introduces a new level into the Chomsky of formal languages. Specifically the content-free languages are a subset of the regular languages. Content-free languages have many interesting properties.
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On the Growth of Context-Free Languages
J. Autom. Lang. Comb., 2008Journal of Automata, Languages and Combinatorics, Volume 13, Number 2, 2008, 95 ...
Flavio D'Alessandro, Stefano Varricchio
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Training-Free Long-Context Scaling of Large Language Models
International Conference on Machine LearningThe ability of Large Language Models (LLMs) to process and generate coherent text is markedly weakened when the number of input tokens exceeds their pretraining length.
Chen An +6 more
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