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Combinatory categorial grammar (CCG) is a grammar formalism used for natural language parsing. CCG assigns structured lexical categories to words and uses a small set of combinatory rules to combine these categories to parse a sentence. In…

Artificial Intelligence · Computer Science 2011-08-30 Yuliya Lierler , Peter Schüller

We propose a categorial grammar based on classical multiplicative linear logic. This can be seen as an extension of abstract categorial grammars (ACG) and is at least as expressive. However, constituents of {\it linear logic grammars (LLG)}…

Logic · Mathematics 2020-08-04 Sergey Slavnov

Although unification can be used to implement a weak form of $\beta$-reduction, several linguistic phenomena are better handled by using some form of $\lambda$-calculus. In this paper we present a higher order feature description calculus…

cmp-lg · Computer Science 2008-02-03 Luis Damas , Nelma Moreira

In relatively free word order languages, grammatical functions are intricately related to case marking. Assuming an ordered representation of the predicate-argument structure, this work proposes a Combinatory Categorial Grammar formulation…

cmp-lg · Computer Science 2007-05-23 Cem Bozsahin

Lambek Grammars (LG) are a computational modelling of natural language, based on non-commutative compositional types. It has been widely studied, especially for languages where the syntax plays a major role (like English). The goal of this…

Computation and Language · Computer Science 2020-02-04 Valentin D. Richard

A well-known approach to treating syntactic island constraints in the setting of Lambek grammars consists in adding specific bracket modalities to the logic. We adapt this approach to abstract categorial grammars (ACG). Thus we define…

Logic · Mathematics 2020-05-21 Sergey Slavnov

A grammar model for concurrent, object-oriented natural language parsing is introduced. Complete lexical distribution of grammatical knowledge is achieved building upon the head-oriented notions of valency and dependency, while inheritance…

cmp-lg · Computer Science 2008-02-03 Norbert Broeker , Udo Hahn , Susanne Schacht

Comparative constructions play an important role in natural language inference. However, attempts to study semantic representations and logical inferences for comparatives from the computational perspective are not well developed, due to…

Computation and Language · Computer Science 2019-10-03 Izumi Haruta , Koji Mineshima , Daisuke Bekki

We propose a categorial grammar based on classical multiplicative linear logic. This can be seen as an extension of abstract categorial grammars (ACG) and is at least as expressive. However, constituents of {\it linear logic grammars (LLG)}…

Logic in Computer Science · Computer Science 2019-02-12 Sergey Slavnov

Whether language models (LMs) have inductive biases that favor typologically frequent grammatical properties over rare, implausible ones has been investigated, typically using artificial languages (ALs) (White and Cotterell, 2021;…

Computation and Language · Computer Science 2025-10-15 Nadine El-Naggar , Tatsuki Kuribayashi , Ted Briscoe

Many theories of semantic interpretation use lambda-term manipulation to compositionally compute the meaning of a sentence. These theories are usually implemented in a language such as Prolog that can simulate lambda-term operations with…

cmp-lg · Computer Science 2008-02-03 Seth Kulick

In this paper, we consider combining the ideas of forbidden random context grammars as well as of ordered grammars with cooperating distributed grammar systems (CDGS). We focus on investigating their generative capacities. Both ideas can be…

Formal Languages and Automata Theory · Computer Science 2026-04-23 Henning Fernau , Lakshmanan Kuppusamy , Jana Schulz

We propose a new domain adaptation method for Combinatory Categorial Grammar (CCG) parsing, based on the idea of automatic generation of CCG corpora exploiting cheaper resources of dependency trees. Our solution is conceptually simple, and…

Computation and Language · Computer Science 2019-06-06 Masashi Yoshikawa , Hiroshi Noji , Koji Mineshima , Daisuke Bekki

Categorical compositional distributional semantics is a model of natural language; it combines the statistical vector space models of words with the compositional models of grammar. We formalise in this model the generalised quantifier…

Computation and Language · Computer Science 2019-11-12 Jules Hedges , Mehrnoosh Sadrzadeh

The categorical models of the differential lambda-calculus are additive categories because of the Leibniz rule which requires the summation of two expressions. This means that, as far as the differential lambda-calculus and differential…

Logic in Computer Science · Computer Science 2024-02-14 Thomas Ehrhard

This thesis studies the categorical formalisation of quantum computing, through the prism of type theory, in a three-tier process. The first stage of our investigation involves the creation of the dagger lambda calculus, a lambda calculus…

Logic in Computer Science · Computer Science 2013-11-27 Philip Atzemoglou

The categorical compositional distributional model of natural language provides a conceptually motivated procedure to compute the meaning of sentences, given grammatical structure and the meanings of its words. This approach has…

Computation and Language · Computer Science 2016-01-26 Desislava Bankova , Bob Coecke , Martha Lewis , Daniel Marsden

Automated Test Case Generation (ATCG) is crucial for evaluating software reliability, particularly in competitive programming where robust algorithm assessments depend on diverse and accurate test cases. However, existing ATCG methods often…

Software Engineering · Computer Science 2025-05-22 Sicheol Sung , Aditi , Dogyu kim , Yo-Sub Han , Sang-Ki Ko

A practical tool for natural language modeling and development of human-machine interaction is developed in the context of formal grammars and languages. A new type of formal grammars, called grammars with prohibition, is introduced.…

Formal Languages and Automata Theory · Computer Science 2013-02-22 Mark Burgin

Turkish has considerably freer word order than English. The interpretations of different word orders in Turkish rely on information that describes how a sentence relates to its discourse context. To capture the syntactic features of a free…

cmp-lg · Computer Science 2008-02-03 Beryl Hoffman
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