Information-based syntax and semantics: Vol. 1: fundamentals
Information-based syntax and semantics: Vol. 1: fundamentals
Constraint-based grammar formalisms: parsing and type inference for natural and computer languages
Constraint-based grammar formalisms: parsing and type inference for natural and computer languages
Approaches to unification in grammar: a brief survey
Specifying syntactic structures
Journal of the ACM (JACM)
Journal of the ACM (JACM)
Journal of Logic, Language and Information
Modal logics for finite graphs
Logic for concurrency and synchronisation
Computational Linguistics
Decidability and undecidability in stand-alone feature logics
EACL '93 Proceedings of the sixth conference on European chapter of the Association for Computational Linguistics
Expressing generalizations in unification-based grammar formalisms
EACL '89 Proceedings of the fourth conference on European chapter of the Association for Computational Linguistics
COLING '96 Proceedings of the 16th conference on Computational linguistics - Volume 1
Unification Grammars and Off-Line Parsability
Journal of Logic, Language and Information
Logical investigations on the adequacy of certain feature-based theories of natural language
NAACL-DocConsortium '06 Proceedings of the 2006 Conference of the North American Chapter of the Association for Computational Linguistics on Human Language Technology: companion volume: doctoral consortium
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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.