Model-theoretic grammars

Last updated

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. [1] 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. [2] 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.

Contents

Examples of model-theoretic grammars

The following is a sample of grammars falling under the model-theoretic umbrella.

Strengths

One benefit of model-theoretic grammars over generative grammars is that they allow for gradience in grammaticality. A structure may deviate only slightly from a theory or it may be highly deviant. A generative grammar, in contrast "entail a sharp boundary between the perfect and the nonexistent, and do not even permit gradience in ungrammaticality to be represented." [5]

Related Research Articles

In linguistics, grammar is the set of structural rules governing the composition of clauses, phrases and words in a natural language. The term refers also to the study of such rules and this field includes phonology, morphology and syntax, often complemented by phonetics, semantics and pragmatics.

In linguistics, syntax is the set of rules, principles, and processes that govern the structure of sentences in a given language, usually including word order. The term syntax is also used to refer to the study of such principles and processes. The goal of many syntacticians is to discover the syntactic rules common to all languages.

Phrase structure rules are a type of rewrite rule used to describe a given language's syntax and are closely associated with the early stages of transformational grammar, proposed by Noam Chomsky in 1957. They are used to break down a natural language sentence into its constituent parts, also known as syntactic categories, including both lexical categories and phrasal categories. A grammar that uses phrase structure rules is a type of phrase structure grammar. Phrase structure rules as they are commonly employed operate according to the constituency relation, and a grammar that employs phrase structure rules is therefore a constituency grammar; as such, it stands in contrast to dependency grammars, which are based on the dependency relation.

In linguistics, transformational grammar (TG) or transformational-generative grammar (TGG) is part of the theory of generative grammar, especially of natural languages. It considers grammar to be a system of rules that generate exactly those combinations of words that form grammatical sentences in a given language and involves the use of defined operations to produce new sentences from existing ones.

Linguistics is the scientific study of human language. Someone who engages in this study is called a linguist. See also the Outline of linguistics, the List of phonetics topics, the List of linguists, and the List of cognitive science topics. Articles related to linguistics include:

Lexical functional grammar (LFG) is a constraint-based grammar framework in theoretical linguistics. It posits two separate levels of syntactic structure, a phrase structure grammar representation of word order and constituency, and a representation of grammatical functions such as subject and object, similar to dependency grammar. The development of the theory was initiated by Joan Bresnan and Ronald Kaplan in the 1970s, in reaction to the theory of transformational grammar which was current in the late 1970s. It mainly focuses on syntax, including its relation with morphology and semantics. There has been little LFG work on phonology.

A formal system is used for inferring theorems from axioms according to a set of rules. These rules, which are used for carrying out the inference of theorems from axioms, are the logical calculus of the formal system. A formal system is essentially an "axiomatic system". In 1921, David Hilbert proposed to use such system as the foundation for the knowledge in mathematics. A formal system may represent a well-defined system of abstract thought.

Generative grammar Theory in linguistics

Generative grammar is a linguistic theory that regards linguistics as the study of a hypothesised innate grammatical structure. A sociobiological modification of structuralist theories, especially glossematics, generative grammar considers grammar as a system of rules that generates exactly those combinations of words that form grammatical sentences in a given language. The difference from structural and functional models is that the object is placed into the verb phrase in generative grammar. This purportedly cognitive structure is thought of being a part of a universal grammar, a syntactic structure which is caused by a genetic mutation in humans.

In linguistics, the minimalist program (MP) is a major line of inquiry that has been developing inside generative grammar since the early 1990s, starting with a 1993 paper by Noam Chomsky.

Generalized phrase structure grammar (GPSG) is a framework for describing the syntax and semantics of natural languages. It is a type of constraint-based phrase structure grammar. Constraint based grammars are based around defining certain syntactic processes as ungrammatical for a given language and assuming everything not thus dismissed is grammatical within that language. Phrase structure grammars base their framework on constituency relationships, seeing the words in a sentence as ranked, with some words dominating the others. For example, in the sentence "The dog runs", "runs" is seen as dominating "dog" since it is the main focus of the sentence. This view stands in contrast to dependency grammars, which base their assumed structure on the relationship between a single word in a sentence and its dependents.

In generative grammar, a theta role or θ-role is the formal device for representing syntactic argument structure—the number and type of noun phrases—required syntactically by a particular verb. For example, the verb put requires three arguments.

Principles and parameters is a framework within generative linguistics in which the syntax of a natural language is described in accordance with general principles and specific parameters that for particular languages are either turned on or off. For example, the position of heads in phrases is determined by a parameter. Whether a language is head-initial or head-final is regarded as a parameter which is either on or off for particular languages. Principles and parameters was largely formulated by the linguists Noam Chomsky and Howard Lasnik. Many linguists have worked within this framework, and for a period of time it was considered the dominant form of mainstream generative linguistics.

In grammar, a complement is a word, phrase, or clause that is necessary to complete the meaning of a given expression. Complements are often also arguments.

<i>Syntactic Structures</i> book by Noam Chomsky

Syntactic Structures is an influential work in linguistics by American linguist Noam Chomsky, originally published in 1957. It is an elaboration of his teacher's, Zellig Harris's, model of transformational generative grammar. A short monograph of about a hundred pages, Chomsky's presentation is recognized as one of the most significant studies of the 20th century, and in 2011 was selected by Time magazine as one of the 100 most important nonfiction books ever written. It contains the now-famous sentence "Colorless green ideas sleep furiously", which Chomsky offered as an example of a grammatically correct sentence that has no discernible meaning. Thus, Chomsky argued for the independence of syntax from semantics.

Linguistic competence is the system of linguistic knowledge possessed by native speakers of a language. It is distinguished from linguistic performance, which is the way a language system is used in communication. Noam Chomsky introduced this concept in his elaboration of generative grammar, where it has been widely adopted and competence is the only level of language that is studied.

Generative semantics is the name of a research program within linguistics, initiated by the work of various early students of Noam Chomsky: John R. Ross, Paul Postal, and later James McCawley. George Lakoff and Pieter Seuren were also instrumental in developing and advocating the theory.

In linguistics, arc pair grammar (APG) is a theory of syntax that aims to formalize and expand upon relational grammar. It primarily builds upon the relational grammar concept of an arc, but also makes use of more formally stated ideas from model theory and graph theory. It was developed in the late 1970s by Paul Postal and David E. Johnson, and formalized in 1980 in the eponymous book Arc Pair Grammar.

<i>Aspects of the Theory of Syntax</i> book by Noam Chomsky

Aspects of the Theory of Syntax is a book on linguistics written by American linguist Noam Chomsky, first published in 1965. In Aspects, Chomsky presented a deeper, more extensive reformulation of transformational generative grammar (TGG), a new kind of syntactic theory that he had introduced in the 1950s with the publication of his first book, Syntactic Structures. Aspects is widely considered to be the foundational document and a proper book-length articulation of Chomskyan theoretical framework of linguistics. It presented Chomsky's epistemological assumptions with a view to establishing linguistic theory-making as a formal discipline comparable to physical sciences, i.e. a domain of inquiry well-defined in its nature and scope. From a philosophical perspective, it directed mainstream linguistic research away from behaviorism, constructivism, empiricism and structuralism and towards mentalism, nativism, rationalism and generativism, respectively, taking as its main object of study the abstract, inner workings of the human mind related to language acquisition and production.

Lectures on Government and Binding: The Pisa Lectures (LGB) is a book by American linguist Noam Chomsky, published in 1981. It is based on the lectures Chomsky gave at the GLOW conference and workshop held at the Scuola Normale Superiore in Pisa, Italy in 1979. In this book, Chomsky presented his government and binding theory of syntax. It had great influence on the syntactic research in early 1980s, especially among the linguists working within the transformational grammar framework.

In linguistics, transformational syntax is a derivational approach to syntax that developed from the extended standard theory of generative grammar originally proposed by Noam Chomsky in his books Syntactic Structures and Aspects of the Theory of Syntax. It emerged from a need to improve on approaches to grammar in structural linguistics.

References

  1. Pullum, Geoffrey Keith; Scholz, Barbara C. (2001). "On the distinction between generative-enumerative and model-theoretic syntactic frameworks" (PDF). In de Groote, Philippe; Morrill, Glyn; Retor, Christian (eds.). Logical Aspects of Computational Linguistics: 4th International Conference. Springer Verlag. pp. 17–43.
  2. Pullum, Geoffrey Keith (2007). "The evolution of model-theoretic frameworks in linguistics" (PDF). In Rogers, James; Kepser, Stephan (eds.). Model-theoretic syntax at 10 – Proceedings of the ESSLLI2007 MTS@10Workshop. Trinity College Dublin. pp. 1–10.
  3. 1 2 3 4 Müller, Stefan (2016). Grammatical theory: From transformational grammar to constraint-based approaches. Berlin: Language Science Press. pp. 490–491.
  4. Christiansen, Henning. "CHR Grammars with multiple constraint stores." First Workshop on Constraint Handling Rules: Selected Contributions. Universität Ulm, Fakultät für Informatik, 2004.
  5. Pullum, Geoffrey K. (2013). "The Central Question in Comparative Syntactic Metatheory: The Central Question in Comparative Syntactic Metatheory". Mind & Language. 28 (4): 492–521. doi:10.1111/mila.12029.