Search results for "prefix normal forms"

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On prefix normal words and prefix normal forms

2016

A $1$-prefix normal word is a binary word with the property that no factor has more $1$s than the prefix of the same length; a $0$-prefix normal word is defined analogously. These words arise in the context of indexed binary jumbled pattern matching, where the aim is to decide whether a word has a factor with a given number of $1$s and $0$s (a given Parikh vector). Each binary word has an associated set of Parikh vectors of the factors of the word. Using prefix normal words, we provide a characterization of the equivalence class of binary words having the same set of Parikh vectors of their factors. We prove that the language of prefix normal words is not context-free and is strictly contai…

FOS: Computer and information sciencesPrefix codePrefix normal wordPre-necklaceDiscrete Mathematics (cs.DM)General Computer ScienceFormal Languages and Automata Theory (cs.FL)Binary numberComputer Science - Formal Languages and Automata TheoryContext (language use)Binary languageLyndon words0102 computer and information sciences02 engineering and technologyPrefix grammarprefix normal formsKraft's inequalityCharacterization (mathematics)Lyndon word01 natural sciencesPrefix normal formenumerationTheoretical Computer ScienceFOS: Mathematics0202 electrical engineering electronic engineering information engineeringMathematics - CombinatoricsMathematicsDiscrete mathematicsprefix normal words prefix normal forms binary languages binary jumbled pattern matching pre-necklaces Lyndon words enumerationbinary jumbled pattern matchingSettore INF/01 - InformaticaComputer Science (all)pre-necklacesComputer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)prefix normal wordsPrefix010201 computation theory & mathematics020201 artificial intelligence & image processingCombinatorics (math.CO)binary languagesComputer Science::Formal Languages and Automata TheoryWord (group theory)Computer Science - Discrete MathematicsTheoretical Computer Science
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