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The Set of Minimal Words of a Context-free Language is Context-free

by Jean Berstel, L. Boasson , 1997
"... 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: Min(X)=[x # X | \w # X, |w|=|x|OxPw]. The aim of this paper ..."
Abstract - Cited by 2 (0 self) - Add to MetaCart
is to prove that if L is a context-free language, then the language Min(L) context-free.

Semantics of Context-Free Languages

by Donald E. Knuth - In Mathematical Systems Theory , 1968
"... "Meaning " may be assigned to a string in a context-free language by defining "at-tributes " of the symbols in a derivation tree for that string. The attributes can be de-fined by functions associated with each production in the grammar. This paper examines the implications of th ..."
Abstract - Cited by 559 (0 self) - Add to MetaCart
"Meaning " may be assigned to a string in a context-free language by defining "at-tributes " of the symbols in a derivation tree for that string. The attributes can be de-fined by functions associated with each production in the grammar. This paper examines the implications

Statistical Parsing with a Context-free Grammar and Word Statistics

by Eugene Charniak , 1997
"... We describe a parsing system based upon a language model for English that is, in turn, based upon assigning probabilities to possible parses for a sentence. This model is used in a parsing system by finding the parse for the sentence with the highest probability. This system outperforms previou ..."
Abstract - Cited by 410 (18 self) - Add to MetaCart
We describe a parsing system based upon a language model for English that is, in turn, based upon assigning probabilities to possible parses for a sentence. This model is used in a parsing system by finding the parse for the sentence with the highest probability. This system outperforms

On Strongly Context-Free Languages

by Lucian Ilie, Gheorghe Paun, Grzegorz Rozenberg, Arto Salomaa , 2000
"... We investigate the context-free languages whose complements are also context-free. We call them strongly context-free languages. The family of strongly linear languages is similarly defined. After examining the closure properties of the family of strongly context-free languages, we prove that any sl ..."
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slender context-free language is strongly linear. We then show that there are languages of a bounded complexity in terms of the number of nonterminals or productions necessary to generate them, whereas the complexity of their complements is arbitrarily large. Keywords: context-free language, slender

On Lengths of Words in Context-free Languages

by Lucian Ilie - THEORETICAL COMPUTER SCIENCE , 1997
"... We consider slender languages, that is, languages for which the number of words of the same length is bounded from above by a constant. We prove that the slenderness problem is decidable for context-free languages and that the maximal number of words of the same length in a given context-free langua ..."
Abstract - Cited by 2 (0 self) - Add to MetaCart
We consider slender languages, that is, languages for which the number of words of the same length is bounded from above by a constant. We prove that the slenderness problem is decidable for context-free languages and that the maximal number of words of the same length in a given context-free

The language of Lyndon words is not context-free

by Jean Berstel, Luc Boasson
"... A word is primitive if it is not a proper power of a shorter word. A Lyndon word is a primitive word which is minimal under cyclic permutation (for properties of these words, see [the new printing of] Lothaire's book [4]). The status of the languages Q of primitive words and L of Lyndon words w ..."
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A word is primitive if it is not a proper power of a shorter word. A Lyndon word is a primitive word which is minimal under cyclic permutation (for properties of these words, see [the new printing of] Lothaire's book [4]). The status of the languages Q of primitive words and L of Lyndon words with

On Strongly Context-Free Languages

by Gheorghe Paun, Grzegorz Rozenberg, Arto Salomaa
"... Starting from the question (inspired by the so-called computing by carving, ..."
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Starting from the question (inspired by the so-called computing by carving,

Active context-free games

by Anca Muscholl, Thomas Schwentick, Luc Segoufin - In STACS , 2004
"... Abstract. An Active Context-Free Game is a game with two players (Romeo and Juliet) on strings over a finite alphabet. In each move, Juliet selects a position of the current word and Romeo rewrites the corresponding letter according to a rule of a context-free grammar. Juliet wins if a string of the ..."
Abstract - Cited by 14 (3 self) - Add to MetaCart
Abstract. An Active Context-Free Game is a game with two players (Romeo and Juliet) on strings over a finite alphabet. In each move, Juliet selects a position of the current word and Romeo rewrites the corresponding letter according to a rule of a context-free grammar. Juliet wins if a string

Subtyping of Context-Free Classes

by Jürgen Freudig, Welf Löwe, Rainer Neumann, Martin Trapp , 1998
"... Object-oriented systems are usually not designed from scratch but constructed using frameworks or class libraries. This construction should lead to correct systems provided the reused classes are locally correct. Therefore, knowledge about the features that a certain class provides is often not en ..."
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Object-oriented systems are usually not designed from scratch but constructed using frameworks or class libraries. This construction should lead to correct systems provided the reused classes are locally correct. Therefore, knowledge about the features that a certain class provides is often

Synchronous Context-Free Grammars

by Daniel Gildea
"... ..."
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