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On permuting letters of words in context-free languages

✍ Scribed by Takeshi Oshiba


Book ID
114036942
Publisher
Elsevier Science
Year
1972
Weight
188 KB
Volume
20
Category
Article
ISSN
0019-9958

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We consider slender languages, that is, languages for which the number of words of the same length is bounded from above by a constant. It is known that the slender context-free languages are precisely the unions of paired loops, that is, ΓΏnite unions of sets of the form {uv n wx n y | nΒΏ0}. Analysi

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Let A be a finite, totally ordered alphabet, and let P be the lexicographic ordering on A\*. Let X be a subset of A\*. The language of minimal words of X is the subset of X composed of the lexicographically minimal word of X for each length: The aim of this paper is to prove that if L is a context-