Unification Grammars and Off-Line Parsability

  • Authors:
  • Efrat Jaeger;Nissim Francez;Shuly Wintner

  • Affiliations:
  • Department of Computer Science Technion, Israel Institute of Technology, Haifa, Israel 32000;Department of Computer Science Technion, Israel Institute of Technology, Haifa, Israel 32000;Department of Computer Science, University of Haifa, Haifa, Israel 31905

  • Venue:
  • Journal of Logic, Language and Information
  • Year:
  • 2005

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Abstract

Unification grammars are known to be Turing-equivalent; given a grammar G and a word w, it is undecidable whether w 驴 L(G). In order to ensure decidability, several constraints on grammars, commonly known as off-line parsability (OLP), were suggested, such that the recognition problem is decidable for grammars which satisfy OLP. An open question is whether it is decidable if a given grammar satisfies OLP. In this paper we investigate various definitions of OLP and discuss their interrelations, proving that some of the OLP variants are indeed undecidable. We then present a novel, decidable OLP constraint which is more liberal than the existing decidable ones.