Article

Mathematical systems theory

, Volume 7, Issue 2, pp 185-192

An infinite hierarchy of intersections of context-free languages

  • Leonard Y. LiuAffiliated withInternational Business Machines Corporation
  • , Peter WeinerAffiliated withDepartment of Computer Science, Yale University

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Abstract

The class of languages expressible as the intersection ofk context-free languages is shown to be properly contained within the class of languages expressible as the intersection ofk + 1 context-free languages. Hence an infinite hierarchy of classes of languages is exhibited between the class of context-sensitive languages and the class of context-free languages.