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In
generative grammar Generative grammar, or generativism , is a linguistic theory that regards linguistics as the study of a hypothesised innate grammatical structure. It is a biological or biologistic modification of earlier structuralist theories of linguisti ...
, 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 (i.e., it is
trivalent In chemistry, the valence (US spelling) or valency (British spelling) of an element is the measure of its combining capacity with other atoms when it forms chemical compounds or molecules. Description The combining capacity, or affinity of an ...
). The formal mechanism for implementing a verb's argument structure is codified as theta roles. The verb ''put'' is said to "assign" three theta roles. This is coded in a theta grid associated with the lexical entry for the verb. The correspondence between the theta grid and the actual sentence is accomplished by means of a
bijective In mathematics, a bijection, also known as a bijective function, one-to-one correspondence, or invertible function, is a function between the elements of two sets, where each element of one set is paired with exactly one element of the other ...
filter on the grammar known as the theta criterion. Early conceptions of theta roles include (Fillmore called theta roles "cases") and . Theta roles are prominent in
government and binding theory A government is the system or group of people governing an organized community, generally a state. In the case of its broad associative definition, government normally consists of legislature, executive, and judiciary. Government is a ...
and the standard theory of transformational grammar.


Thematic relations

The term "theta role" is often used interchangeably with the term
thematic relations In certain theories of linguistics, thematic relations, also known as semantic roles, are the various roles that a noun phrase may play with respect to the action or state described by a governing verb, commonly the sentence's main verb. For ex ...
(particularly in mainstream generative grammar—for an exception see ). The reason for this is simple: theta roles typically reference thematic relations. In particular, theta roles are often referred to by the most prominent thematic relation in them. For example, a common theta role is the primary or external argument. Typically, although not always, this theta role maps to a noun phrase which bears an agent thematic relation. As such, the theta role is called the "agent" theta role. This often leads to confusion between the two notions. The two concepts, however, can be distinguished in a number of ways. *Thematic relations express the semantic relations that the entities denoted by the noun phrases bear towards the action or state denoted by the verb. By contrast, theta roles are a syntactic notion about the number, type and placement of obligatory arguments. For instance, in the sentence ''Fergus ate the kibble'', the fact that ** there are two arguments (''Fergus'' and ''the kibble''), and ** Fergus must be capable of volition and of doing the action, and ** the kibble must be something that can be eaten :is a fact about theta roles (the number and type of the argument). The actual semantic type of the argument is described by the thematic relation. *Not all theoretical approaches use theta roles. Theta roles are largely limited to the Chomskyan versions of generative grammar and lexical functional grammar. Many other approaches, such as functional grammar and
dependency grammar Dependency grammar (DG) is a class of modern grammatical theories that are all based on the dependency relation (as opposed to the ''constituency relation'' of phrase structure) and that can be traced back primarily to the work of Lucien Tesni ...
, refer to thematic relations directly without an intermediate step in theta roles. *Only arguments of the verb bear theta roles; optional adjunct modifiers—even if they are prepositional phrases (PPs) such as ''on Friday'' or noun phrases (NPs) like ''yesterday''—don't take theta roles. But almost all NPs (except expletives) express thematic relations. *An argument can bear only one theta role, but can take multiple thematic relations. For example, in ''Susan gave Bill the paper'', ''Susan'' bears both Agent and Source thematic relations, but it only bears one theta role (the external "agent" role). *Thematic relations are properties of nouns and noun phrases. Theta roles can be assigned to any argument including noun phrases, prepositional phrases and embedded clauses. Thematic relations are not assigned to embedded clauses, and prepositions typically mark the thematic relation on an NP. One common way of thinking about theta roles is that they are bundles of thematic relations associated with a particular argument position .


Theta grids and the theta criterion

Theta roles are stored in a verb's ''theta grid''. Grids typically come in two forms. The simplest and easiest to type is written as an ordered list between angle brackets. The argument associated with the external argument position (which typically ends up being the subject in active sentences) is written first and underlined. The theta roles are named by the most prominent thematic relation that they contain. In this notation, the theta grid for a verb such as ''give'' is <agent, theme, goal>. The other notation (see for example the textbook examples in and ) separates the theta roles into boxes, in which each column represents a theta role. The top row represents the names of the thematic relations contained in the theta role. In some work (e.g., ), this box also contains information about the category associated with the theta role. This mingles theta-theory with the notion of
subcategorization In linguistics, subcategorization denotes the ability/necessity for lexical items (usually verbs) to require/allow the presence and types of the syntactic arguments with which they co-occur. The notion of subcategorization is similar to the notio ...
. The bottom row gives a series of indexes which are associated with subscripted markers in the sentence itself which indicate that the NPs they are attached to have been assigned the theta role in question. When applied to the sentence sub>S[NP_Susansub>i_gave_[NP_the_food.html" ;"title="sub>NP_Susan.html" ;"title="sub>S[NP Susan">sub>S[NP Susansub>i gave [NP the food">sub>NP_Susan.html" ;"title="sub>S[NP Susan">sub>S[NP Susansub>i gave [NP the foodsub>j [PPto Biff]k] the indices mark that ''Susan'' is assigned the external theta role of agent/source, ''the food'' is assigned the theme role, and ''to Biff'' is assigned the goal role. The theta criterion (or ''θ-criterion'') is the formal device in Government and Binding Theory for enforcing the one to one match between arguments and theta roles. This acts as a filter on the D-structure of the sentence. If an argument fails to have the correct match between the number of arguments (typically NPs, PPs, or embedded clauses) and the number of theta roles, the sentence will be ungrammatical or unparseable. Chomsky's formulation is:
The theta criterion Each argument bears one and only one θ-role, and each θ-role is assigned to one and only one argument.
Although it is often not explicitly stated, adjuncts are excluded from the theta criterion.


Thematic hierarchies

Drawing on observations based in typological cross-linguistic comparisons of languages , linguists in the relational grammar (RG) tradition (e.g. ) observed that particular thematic relations and theta roles map on to particular positions in the sentence. For example, in unmarked situations agents map to subject positions, themes onto object position, and goals onto indirect objects. In RG, this is encoded in the Universal Alignment Hypothesis (or UAH), where the thematic relations are mapped directly into argument position based on the following hierarchy: Agent < Theme < Experiencer < Others. Mark Baker adopted this idea into GB theory in the form of the Uniformity of Theta Assignment Hypothesis (or UTAH) . UTAH explains how identical thematic relationships between items are shown by identical structural relationships. A different approach to the correspondence is given in and , where there are no such things as underlying theta roles or even thematic relations. Instead, the interpretive component of the grammar identifies the semantic role of an argument based on its position in the tree.


Argument structure in other formal approaches


Lexical-functional grammar (LFG)

Lexical-functional grammar (LFG) and is perhaps the most similar to Chomskyan approaches in implementing theta-roles. However, LFG uses three distinct layers of structure for representing the relations or functions of arguments: θ-structure, a-structure (argument structure) and f-structure (functional structure) which expresses grammatical relations. These three layers are linked together using a set of intricate linking principles. Thematic relations in the θ-structure are mapped onto a set of positions in the a-structure which are tied to features o(roughly "object") and r(roughly "restricted" meaning it is marked explicitly by a preposition or a case marking). Themes map to r second themes map to oand non-themes map to o These features then determine how the arguments are mapped to specific grammatical functions in the sentence. The first oargument is mapped to the SUBJ (subject) relation. If there is no oargument then the first rargument is mapped to the SUBJ relation. If neither of these apply, then you add the plus value ( ror o to the feature structure and apply the following mappings: o,-r SUBJ, o, -r Object (OBJ), o,+r prepositional marked oblique (OBLθ), o, +r prepositionally marked object (OBJθ). These mappings are further constrained by the following constraints:
Function argument biuniqueness: Each a-structure role corresponds to a unique f-structure function, and each f-structure function corresponds to a unique a-structure role
The Subject Condition: Every verb must have a SUBJ
F-structures are further constrained by the following two constraints which do much of the same labor as the θ-criterion:
Coherence requires that every participant in the f-structure of a sentence must be mentioned in a-structure (or in a constituting equation) of a predicate in its clause.
Completeness: An f-structure for a sentence must contain values for all the grammatical functions mentioned in a-structure.


Head-driven phrase structure grammar (HPSG)

Head-driven phrase structure grammar Head-driven phrase structure grammar (HPSG) is a highly lexicalized, constraint-based grammar developed by Carl Pollard and Ivan Sag. It is a type of phrase structure grammar, as opposed to a dependency grammar, and it is the immediate successor ...
(HPSG) (for a textbook introduction, see ) does not use theta roles per se, but divides their property into two distinct feature structures. The number and category are indicated by a feature called ARG-STR. This feature is an ordered list of categories that must cooccur with a particular verb or predicate. For example, the ARG-STR list of the verb ''give'' is . The semantic part of theta roles (i.e. the thematic relations) are treated in a special set of semantic restriction (RESTR) features. These typically express the semantic properties more directly than thematic relations. For example, the semantic relations associated with the arguments of the verb ''give'' are not agent, theme and goal, but giver, given, givee.


Approaches that eschew theta roles

Many approaches to grammar including
construction grammar Construction grammar (often abbreviated CxG) is a family of theories within the field of cognitive linguistics which posit that constructions, or learned pairings of linguistic patterns with meanings, are the fundamental building blocks of human ...
and the Simpler Syntax model (see also Jackendoff's earlier work on argument structure and semantics, including and ) claim that theta roles (and thematic relations) are neither a good way to represent the syntactic argument structure of predicates nor of the semantic properties that they reveal. They argue for more complex and articulated semantic structures (often called Lexical-conceptual structures) which map onto the syntactic structure. Similarly, most typological approaches to grammar, functionalist theories (such as functional grammar and
Role and Reference Grammar Role and reference grammar (RRG) is a model of grammar developed by William A. Foley and Robert Van Valin, Jr. in the 1980s, which incorporates many of the points of view of current functional grammar theories. In RRG, the description of a sent ...
, and
dependency grammar Dependency grammar (DG) is a class of modern grammatical theories that are all based on the dependency relation (as opposed to the ''constituency relation'' of phrase structure) and that can be traced back primarily to the work of Lucien Tesni ...
do not use theta roles, but they may make reference to
thematic relations In certain theories of linguistics, thematic relations, also known as semantic roles, are the various roles that a noun phrase may play with respect to the action or state described by a governing verb, commonly the sentence's main verb. For ex ...
and
grammatical relations In linguistics, grammatical relations (also called grammatical functions, grammatical roles, or syntactic functions) are functional relationships between constituents in a clause. The standard examples of grammatical functions from traditional gra ...
or their notational equivalents. These are usually related to one another directly using principles of mapping.


See also

*
Case grammar Case grammar is a system of linguistic analysis, focusing on the link between the valence, or number of subjects, objects, etc., of a verb and the grammatical context it requires. The system was created by the American linguist Charles J. Fil ...
*
Morphosyntactic alignment In linguistics, morphosyntactic alignment is the grammatical relationship between arguments—specifically, between the two arguments (in English, subject and object) of transitive verbs like ''the dog chased the cat'', and the single argument ...
* Syntax‐semantics interface *
Thematic relations In certain theories of linguistics, thematic relations, also known as semantic roles, are the various roles that a noun phrase may play with respect to the action or state described by a governing verb, commonly the sentence's main verb. For ex ...
*
Valency (linguistics) In linguistics, valency or valence is the number and type of arguments controlled by a predicate, content verbs being typical predicates. Valency is related, though not identical, to subcategorization and transitivity, which count only object ...


References

* * Bresnan, Joan (2001). Lexical Functional Syntax. Blackwell. * Carnie, Andrew (2006) Syntax: A Generative Introduction. Blackwell. * Chomsky, Noam. 1981. Lectures on Government and Binding. Mouton. * Culicover, Peter and
Ray Jackendoff Ray Jackendoff (born January 23, 1945) is an American linguist. He is professor of philosophy, Seth Merrin Chair in the Humanities and, with Daniel Dennett, co-director of the Center for Cognitive Studies at Tufts University. He has always s ...
(2005) Simpler Syntax. Oxford University press. * Dowty, David. 1979
Word meaning and Montague grammar. The semantics of verbs and times in Generative Semantics and in Montague's PTQ
Synthese Language Library. Dordrecht: Reidel. *Falk, Yehuda N. (2001). Lexical-Functional Grammar: An Introduction to Parallel Constraint-Based Syntax. CSLI. * * * *{{citation, authorlink1=Kenneth L. Hale, author1=Hale, Kenneth, author2=Keyser, Samuel J., authorlink2=Keyser, Samuel J., year=1993, contribution=On argument structure and the lexical expression of syntactic relations, editor1=Hale, K. , editor2=S.J. Keyser, title=The view from Building 20: Essays in honor of Sylvain Bromberger, location=Cambridge, publisher=MIT Press *Hale, K. and Keyser, S.J. 2001. Prolegomenon to a Theory of Argument Structure. Linguistic Inquiry Monograph 39. Cambridge: MIT Press. * Harley, Heidi. 2007. Thematic Roles. In Patrick Hogan, ed. The Cambridge Encyclopedia of the Language Sciences. Cambridge University Press. *Jackendoff, Ray. 1983. Semantics and cognition. Cambridge, Massachusetts: MIT Press. *Jackendoff, Ray. 1990. Semantic structures. Cambridge, Massachusetts: MIT Press. * David Perlmutter and
Paul Postal Paul Martin Postal (born November 10, 1936 in Weehawken, New Jersey) is an American linguist. Biography Postal received his PhD from Yale University in 1963 and taught at MIT until 1965. That year, he moved to the City University of New York. I ...
. 1984. The 1-advancement exclusiveness law. In David Perlmutter and Carol G. Rosen (ed.) Studies in Relational Grammar 2. University of Chicago Press, Chicago. pp. 81–125. * Reinhart, Tanya (2002). The Theta System: An Overview. ''
Theoretical Linguistics Theoretical linguistics is a term in linguistics which, like the related term general linguistics, can be understood in different ways. Both can be taken as a reference to theory of language, or the branch of linguistics which inquires into the ...
'' 28(3), 229-290, as well as comment articles in the same issue. A version of Reinhart's paper i
accessible online
* Sag, Ivan, Thomas Wasow and Bender (2005) An Introduction to Formal Syntax. CSLI Publications. * Tenny, Carol (1992) Lexical Matters: The Aspectual Interface Hypothesis. Center for the Study of Language and Information Leland Stanford Junior University. * Van Valin, Robert and Randy LaPolla (1997) Syntax: Structure meaning and function. Cambridge University Press. Thematic roles