Context-free languages of sub-exponential growth

Martin R. Bridson, Robert H. Gilman

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

Context-free languages of sub-exponential growth were studied. The growth function was defined as the function whose value at each non-negative integer was the number of words of length n in a fixed formal language. The definition of a bounded language, which is a subset for some words, was also used in the analysis. Results showed that context-free languages of intermediate growth were nonexistent.

Original languageEnglish
Pages (from-to)308-310
Number of pages3
JournalJournal of Computer and System Sciences
Volume64
Issue number2
DOIs
StatePublished - Mar 2002

Keywords

  • Context-free languages
  • Growth functions

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