Model-theoretic grammars, also known as constraint-based grammars, contrast with generative grammars in the way they define sets of sentences: they state constraints on syntactic structure rather than providing operations for generating syntactic objects. A generative grammar provides a set of operations such as rewriting, insertion, deletion, movement, or combination, and is interpreted as a definition of the set of all and only the objects that these operations are capable of producing through iterative application. A model-theoretic grammar simply states a set of conditions that an object must meet, and can be regarded as defining the set of all and only the structures of a certain sort that satisfy all of the constraints. The approach applies the mathematical techniques of model theory to the task of syntactic description: a grammar is a theory in the logician's sense (a consistent set of statements) and the well-formed structures are the models that satisfy the theory.
|Part of a series on|
Examples of such grammars include
- the non-procedural variant of Transformational grammar (TG) of George Lakoff, that formulates constraints on potential tree sequences
- Johnson and Postal's formalization of Relational grammar (RG) (1980), Generalized phrase structure grammar (GPSG) in the variants developed by Gazdar et al. (1988), Blackburn et al. (1993) and Rogers (1997)
- Lexical functional grammar (LFG) in the formalization of Ronald Kaplan (1995)
- Head-driven phrase structure grammar (HPSG) in the formalization of King (1999)
- Constraint Handling Rules (CHR) grammars
- Pullum, Geoffrey Keith; Scholz, Barbara C. (2001). "On the distinction between generative-enumerative and model-theoretic syntactic frameworks". In de Groote, Philippe; Morrill, Glyn; Retor, Christian (eds.). Logical Aspects of Computational Linguistics: 4th International Conference (PDF). Springer Verlag. pp. 17–43.
- Pullum, Geoffrey Keith (2007). "The evolution of model-theoretic frameworks in linguistics". In Rogers, James; Kepser, Stephan (eds.). Model-theoretic syntax at 10 – Proceedings of the ESSLLI2007 MTS@10Workshop (PDF). Trinity College Dublin. pp. 1–10.
- Müller, Stefan (2016). Grammatical theory: From transformational grammar to constraint-based approaches. Berlin: Language Science Press. pp. 490–491.
- Christiansen, Henning. "CHR Grammars with multiple constraint stores." First Workshop on Constraint Handling Rules: Selected Contributions. Universität Ulm, Fakultät für Informatik, 2004.