Journal of Logic, Language and Information

, Volume 18, Issue 2, pp 159–198

Polyadic Dynamic Logics for HPSG Parsing


DOI: 10.1007/s10849-008-9061-x

Cite this article as:
Søgaard, A. & Lange, M. J of Log Lang and Inf (2009) 18: 159. doi:10.1007/s10849-008-9061-x


Head-driven phrase structure grammar (HPSG) is one of the most prominent theories employed in deep parsing of natural language. Many linguistic theories are arguably best formalized in extensions of modal or dynamic logic (Keller, Feature logics, infinitary descriptions and grammar, 1993; Kracht, Linguistics Philos 18:401–458, 1995; Moss and Tiede, In: Blackburn, van Benthem, and Wolther (eds.) Handbook of modal logic, 2006), and HPSG seems to be no exception. Adequate extensions of dynamic logic have not been studied in detail, however; the most important aspect is the reference to sets of substructures. In this paper, an adequate extension is identified, and some important results are established: Satisfiability is highly undecidable, and model checking is shown to be in EXPTIME and PSPACE-hard. A fragment with polynomial time model checking procedures is identified; it is shown to cover considerable fragments of HPSG.


Dynamic logic HPSG Model checking Parsing 

Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  1. 1.Theoretische ComputerlinguistikInstitut für Linguistik, Universität PotsdamPotsdamGermany
  2. 2.Theoretische InformatikInstitut für Informatik, Ludwig-Maximilians-Universität MünchenMunichGermany

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