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Context-Free Languages and Primitive Words - Masami Ito

Context-Free Languages and Primitive Words

By: Masami Ito, Pal Domosi

eText | 25 September 2014

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A word is said to be primitive if it cannot be represented as any power of another word. It is a well-known conjecture that the set of all primitive words Q over a non-trivial alphabet is not context-free: this conjecture is still open. In this book, the authors deal with properties of primitive words over a non-primitive alphabet, the language consisting of all primitive words and related languages. Moreover, some decidable and undecidable problems with respect to the above languages are discussed as well. As another try, a search for a non-phrase structure grammar which generates Q is performed.A word is said to be primitive if it cannot be represented as any power of another word. It is a well-known conjecture that the set of all primitive words Q over a non-trivial alphabet is not context-free: this conjecture is still open. In this book, the authors deal with properties of primitive words over a non-primitive alphabet, the language consisting of all primitive words and related languages. Moreover, some decidable and undecidable problems with respect to the above languages are discussed as well. As another try, a search for a non-phrase structure grammar which generates Q is performed.Researchers, lecturers, senior undergraduates and graduate students in theoretical computer science.
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Non-FictionComputing & I.T.Computer ScienceMathematical Theory of ComputationComputer Programming & Software DevelopmentProgramming & Scripting LanguagesMathematicsCombinatorics & Graph TheoryApplied Mathematics

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