Boolean grammars

  • Authors:
  • Alexander Okhotin

  • Affiliations:
  • School of Computing, Queen's University, Kingston, Ontario, Canada

  • Venue:
  • DLT'03 Proceedings of the 7th international conference on Developments in language theory
  • Year:
  • 2003

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Abstract

As a direct continuation of the earlier research on conjunctive grammars - context-free grammars equipped with intersection - this paper introduces a new class of formal grammars, which allow the use of all set-theoretic operations as an integral part of the formalism of rules. Rigorous semantics for such grammars is defined by language equations in a way that allows to generalize some techniques from the theory of context-free grammars, including Chomsky normal form, Cocke-Kasami-Younger recognition algorithm and some limited extension of the notion of a parse tree, which together allow to conjecture the practical applicability of the new concept.