Glue Semantics
Encyclopedia
Glue semantics, or simply Glue (Dalrymple et al. 1993; Dalrymple 1999, 2001) is a linguistic theory of semantic composition and the syntax-semantics interface which assumes that meaning composition is constrained by a set of instructions stated within a formal logic, Linear logic
Linear logic
Linear logic is a substructural logic proposed by Jean-Yves Girard as a refinement of classical and intuitionistic logic, joining the dualities of the former with many of the constructive properties of the latter...

. These instructions, called meaning constructors, state how the meanings of the parts of a sentence can be combined to provide the meaning of the sentence.

Glue was developed as a theory of the syntax-semantics interface within the linguistic theory of Lexical functional grammar
Lexical functional grammar
Lexical functional grammar is a grammar framework in theoretical linguistics, a variety of generative grammar. It is a type of phrase structure grammar, as opposed to a dependency grammar. The development of the theory was initiated by Joan Bresnan and Ronald Kaplan in the 1970s, in reaction to...

, and most work within Glue has been conducted within that framework. LFG-Glue assumes that the syntactic structure that is most relevant for meaning assembly is the functional structure, a structure which represents abstract syntactic predicate argument structure and relations like subject and object. In this setting, a meaning constructor for an intransitive verb
Intransitive verb
In grammar, an intransitive verb is a verb that has no object. This differs from a transitive verb, which takes one or more objects. Both classes of verb are related to the concept of the transitivity of a verb....

 states that the verb combines with the meaning of its subject to produce a meaning for the sentence. This is similar in some respects to the view of the syntax-semantics interface assumed within categorial grammar
Categorial grammar
Categorial grammar is a term used for a family of formalisms in natural language syntax motivated by the principle of compositionality and organized according to the view that syntactic constituents should generally combine as functions or according to a function-argument relationship...

, except that abstract syntactic relations like subject and object rather than relations such as to-the-left-of are involved in meaningful constructor specifications. Glue analyses within other syntactic formalisms have also been proposed; besides LFG, glue analyses have been proposed within HPSG, Context-free grammar
Context-free grammar
In formal language theory, a context-free grammar is a formal grammar in which every production rule is of the formwhere V is a single nonterminal symbol, and w is a string of terminals and/or nonterminals ....

, Categorial grammar
Categorial grammar
Categorial grammar is a term used for a family of formalisms in natural language syntax motivated by the principle of compositionality and organized according to the view that syntactic constituents should generally combine as functions or according to a function-argument relationship...

, and Tree-adjoining grammar
Tree-adjoining grammar
Tree-adjoining grammar is a grammar formalism defined by Aravind Joshi. Tree-adjoining grammars are somewhat similar to context-free grammars, but the elementary unit of rewriting is the tree rather than the symbol...

.

Glue is a theory of the syntax-semantics interface which is compatible not only with various syntactic frameworks, but also with different theories of semantics and meaning representation. Semantic formalisms that have been used as the meaning languages in Glue Semantics analyses include versions of Discourse Representation Theory
Discourse representation theory
Discourse Representation Theory is a framework for exploring meaning under a formal semantics approach. One of the main differences between DRT-style approaches and traditional Montagovian approaches is that DRT-style approaches include a level of abstract mental representations within its...

, Intensional logic
Intensional logic
Intensional logic is an approach to predicate logic that extends first-order logic, which has quantifiers that range over the individuals of a universe , by additional quantifiers that range over terms that may have such individuals as their value...

, First-order logic
First-order logic
First-order logic is a formal logical system used in mathematics, philosophy, linguistics, and computer science. It goes by many names, including: first-order predicate calculus, the lower predicate calculus, quantification theory, and predicate logic...

, and Natural semantic metalanguage
Natural semantic metalanguage
The Natural semantic metalanguage is a linguistic theory and a practical, meaning-based approach to linguistic analysis. The theory is based on the conception of Polish professor Andrzej Bogusławski...

.

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