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Lexical functional grammar

Lexical functional grammar is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Lexical functional grammar rather than just read about it. In short: Lexical functional grammar (LFG) is a constraint-based grammar framework in theoretical linguistics. It posits several parallel levels of syntactic structure, including 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.

Key takeaways

  • Lexical functional grammar belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Lexical functional grammar to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Lexical functional grammar from memory before moving on to harder problems.

Reference excerpt

Lexical functional grammar (LFG) is a constraint-based grammar framework in theoretical linguistics. It posits several parallel levels of syntactic structure, including 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 (although ideas from optimality theory have recently been popular in LFG research). Some recent work combines LFG with Distributed Morphology in Lexical-Realizational Functional Grammar.

Overview LFG views language as being made up of multiple dimensions of structure. Each of these dimensions is represented as a distinct structure with its own rules, concepts, and form. The primary structures that have figured in LFG research are:

the representation of grammatical functions (f-structure). See feature structure. the structure of syntactic constituents (c-structure). See phrase structure rules, ID/LP grammar. For example, in the sentence The old woman eats the falafel, the c-structure analysis is that this is a sentence which is made up of two pieces, a noun phrase (NP) and a verb phrase (VP). The VP is itself made up of two pieces, a verb (V) and another NP. The NPs are also analyzed into their parts. Finally, the bottom of the structure is composed of the words out of which the sentence is constructed. The f-structure analysis, on the other hand, treats the sentence as being composed of attributes, which include features such as number and tense or functional units such as subject, predicate, or object. There are other structures which are hypothesized in LFG work:

argument structure (a-structure), a level which represents the number of arguments for a predicate and some aspects of the lexical semantics of these arguments. See theta-role. semantic structure (s-structure), a level which represents the meaning of phrases and sentences. See Glue Semantics. information structure (i-structure) morphological structure (m-structure) phonological structure (p-structure) The various structures can be said to be mutually constraining. The LFG conception of linguistic structure differs from Chomskyan theories, which have always involved separate levels of constituent structure representation mapped onto each other sequentially, via transformations. The LFG approach has had particular success with non-configurational languages, languages in which the relation between structure and function is less direct than it is in languages like English; for this reason LFG's adherents consider it a more plausible universal model of language. Another feature of LFG is that grammatical-function changing operations like passivization are relations between word forms rather than sentences. This means that the active-passive relation, for example, is a relation between two types of verb rather than two trees. Active and passive verbs involve alternative mapping of the participants to grammatical functions. Through the positing of productive processes in the lexicon and the separation of structure and function, LFG is able to account for syntactic patterns without the use of transformations defined over syntactic structure. For example, in a sentence like What did you see?, where what is understood as the object of see, transformational grammar puts what after see (the usual position for objects) in "deep structure", and then moves it. LFG analyzes what as having two functions: question-focus and object. It occupies the position associated in English with the question-focus function, and the constraints of the language allow it to take on the object function as well. A central goal in LFG research is to create a model of grammar with a depth which appeals to linguists while at the same time being efficiently parsable and having the rigidity of formalism which computational linguists require. Because of this, computational parsers have been developed and LFG has also been used as the theoretical basis of various machine translation tools, such as AppTek's TranSphere, and the Julietta Research Group's Lekta.

See also Glue semantics, a theory of the syntax-semantics interface Head-driven phrase structure grammar Relational grammar Tree-adjoining grammar

References

Bresnan, Joan (2001). Lexical-Functional Syntax. Blackwell. ISBN 0-631-20973-5 Bresnan, Joan; Asudeh, Ash; Toivonen, Ida; Wechsler, Stephen (2015). Lexical Functional Syntax. 2nd edition. Wiley Blackwell. ISBN 1-405-18781-6 Dalrymple, Mary (2001). Lexical Functional Grammar. No. 42 in Syntax and Semantics Series. New York: Academic Press. ISBN 0-12-613534-7 Dalrymple, Mary; Lowe, John J.; Mycock, Louise (2019). The Oxford Reference Guide to Lexical Functional Grammar. Oxford: Oxford University Press. ISBN 978-0-19-873330-0 Falk, Yehuda N. (2001). Lexical-Functional Grammar: An Introduction to Parallel Constraint-Based Syntax. CSLI. ISBN 1-57586-341-3 Kroeger, Paul R. (2004). Analyzing Syntax: A Lexical-Functional Approach. Cambridge: Cambridge University Press. ISBN 9780521016544

Further reading Dalrymple, M. (2023). The Handbook of Lexical Functional Grammar. Berlin: Language Science Press. doi:10.5281/zenodo.10037797. ISBN 9783961104246.

External links Lexical Functional Grammar Home Page Proceedings of the annual LFG conference Julietta Research Group, Lekta Manual Lexical Functional Grammar course lectures on YouTube, Prof Miriam Butt, University of Konstanz

Worked examples

Example 1 — a first encounter with Lexical functional grammar

Start with the simplest possible case. Write down what Lexical functional grammar claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Lexical functional grammar before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Lexical functional grammar ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Lexical functional grammar

In research
Lexical functional grammar appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Lexical functional grammar in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Lexical functional grammar is common in secondary-school and first-year university syllabi. It links to neighbouring topics Generative linguistics, Grammar frameworks, Syntactic theories, so understanding it makes those chapters shorter.
In everyday life
Look for Lexical functional grammar outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Lexical functional grammar in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Lexical functional grammar means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Lexical functional grammar out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Lexical functional grammar in simple terms?

Lexical functional grammar (LFG) is a constraint-based grammar framework in theoretical linguistics. It posits several parallel levels of syntactic structure, including a phrase structure grammar representation of word order and constituency, and a representation of grammatical functions such as su…

Why does Lexical functional grammar matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Lexical functional grammar?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Lexical functional grammar.

Tags

  • Generative linguistics
  • Grammar frameworks
  • Syntactic theories

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