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Deterministic Context-Free Language

Deterministic Context-Free Language


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About the Book

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. A deterministic context-free language is a formal language which is defined by a deterministic context-free grammar. The set of deterministic context-free languages is called DCFL and is identical to the set of languages accepted by a deterministic pushdown automaton. The set of deterministic context-free languages are a proper subset of the set of context-free languages that possess an unambiguous context free grammar. For example, the language of even-length palindromes on the alphabet of 0 and 1 has the simple, unambiguous grammar S 0S0 - 1S1 -, but it cannot be parsed by a deterministic push down automaton. The languages of this class have practical importance in computer science. The complexity of the program and execution of a deterministic pushdown automaton is vastly less than that of a nondeterministic one. In the naive implementation, it must make copies of the stack every time a nondeterministic step occurs. The best known algorithm to test membership in any context-free language is Valiant's algorithm, taking O(n2.378) time, whereas membership in a deterministic context-free language can be tested in O(n) time, where n is the length of the string."


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Product Details
  • ISBN-13: 9786136775333
  • Publisher: Fec Publishing
  • Publisher Imprint: Fec Publishing
  • Height: 229 mm
  • Weight: 150 gr
  • ISBN-10: 6136775336
  • Publisher Date: 26 Jun 2011
  • Binding: Paperback
  • Spine Width: 6 mm
  • Width: 152 mm


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