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A type theory is presented that combines (intuitionistic) linear types with type dependency, thus properly generalising both intuitionistic dependent type theory and full linear logic. A syntax and complete categorical semantics are…

Logic in Computer Science · Computer Science 2026-05-07 Matthijs Vákár

The aim of this paper is twofold: first we will use vector space distributional compositional categorical models of meaning to compare the meaning of sentences in Irish and in English (and thus ascertain when a sentence is the translation…

Computation and Language · Computer Science 2018-11-09 Brian Tyrrell

Compositional models were introduce by Jirousek and Shenoy in the general framework of valuation-based systems. They based their theory on an axiomatic system of valuations involving not only the operations of combination and…

Artificial Intelligence · Computer Science 2016-12-09 Juerg Kohlas

In a recent issue of Linguistics and Philosophy Kasmi and Pelletier (1998) (K&P), and Westerstahl (1998) criticize Zadrozny's (1994) argument that any semantics can be represented compositionally. The argument is based upon Zadrozny's…

Computation and Language · Computer Science 2007-05-23 Shalom Lappin , Wlodek Zadrozny

Current open-domain neural semantics parsers show impressive performance. However, closer inspection of the symbolic meaning representations they produce reveals significant weaknesses: sometimes they tend to merely copy character sequences…

Computation and Language · Computer Science 2024-09-19 Xiao Zhang , Gosse Bouma , Johan Bos

Since first introduced, computer simulation has been an increasingly important tool in evolutionary linguistics. Recently, with the development of deep learning techniques, research in grounded language learning has also started to focus on…

Computation and Language · Computer Science 2019-10-14 Shangmin Guo , Yi Ren , Serhii Havrylov , Stella Frank , Ivan Titov , Kenny Smith

Emerging computational paradigms, such as probabilistic and hybrid programming, introduce new primitive operations that often need to be combined with classic programming constructs. However, it still remains a challenge to provide a…

Logic in Computer Science · Computer Science 2018-04-13 Fredrik Dahlqvist , Renato Neves

Predicting the structure of a discourse is challenging because relations between discourse segments are often implicit and thus hard to distinguish computationally. I extend previous work to classify implicit discourse relations by…

Computation and Language · Computer Science 2018-08-27 Michael Roth

How can a learner systematically prepare for reading a book they are interested in? In this paper,we explore how computational linguistic methods such as distributional semantics, morphological clustering, and exercise generation can be…

Computation and Language · Computer Science 2020-11-24 Haemanth Santhi Ponnusamy , Detmar Meurers

Compounding is a highly productive word-formation process in some languages that is often problematic for natural language processing applications. In this paper, we investigate whether distributional semantics in the form of word…

Computation and Language · Computer Science 2015-09-16 Joachim Daiber , Lautaro Quiroz , Roger Wechsler , Stella Frank

One of the basic sanity properties of a behavioural semantics is that it constitutes a congruence with respect to standard process operators. This issue has been traditionally addressed by the development of rule formats for transition…

Logic in Computer Science · Computer Science 2010-08-13 Maciej Gazda , Wan Fokkink

Compositionality is a key property for dealing with complexity, which has been studied from many points of view in diverse fields. Particularly, the composition of individual computations (or programs) has been widely studied almost since…

Logic in Computer Science · Computer Science 2022-06-06 Damian Arellanes

In this paper we provide a unifying description of different types of semantics of modal logic found in the literature via the framework of topological categories. In the style of categorical logic, we establish an exact correspondence…

Category Theory · Mathematics 2023-08-01 Lingyuan Ye

Recent work on compositional distributional models shows that bialgebras over finite dimensional vector spaces can be applied to treat generalised quantifiers for natural language. That technique requires one to construct the vector space…

Computation and Language · Computer Science 2021-09-24 Matej Dostal , Mehrnoosh Sadrzadeh , Gijs Wijnholds

Vector representations have become a central element in semantic language modelling, leading to mathematical overlaps with many fields including quantum theory. Compositionality is a core goal for such representations: given representations…

Computation and Language · Computer Science 2021-05-12 Dominic Widdows , Kristen Howell , Trevor Cohen

Semantic processing is a fundamental research domain in computational linguistics. In the era of powerful pre-trained language models and large language models, the advancement of research in this domain appears to be decelerating. However,…

Computation and Language · Computer Science 2023-10-31 Rui Mao , Kai He , Xulang Zhang , Guanyi Chen , Jinjie Ni , Zonglin Yang , Erik Cambria

The pervasive use of distributional semantic models or word embeddings in a variety of research fields is due to their remarkable ability to represent the meanings of words for both practical application and cognitive modeling. However,…

Computation and Language · Computer Science 2018-02-07 Akira Utsumi

It has been an open question as to whether the Modular Structural Operational Semantics framework can express the dynamic semantics of call/cc. This paper shows that it can, and furthermore, demonstrates that it can express the more general…

Programming Languages · Computer Science 2016-06-22 Neil Sculthorpe , Paolo Torrini , Peter D. Mosses

Semantic vectors are learned from data to express semantic relationships between elements of information, for the purpose of solving and informing downstream tasks. Other models exist that learn to map and classify supervised data. However,…

Artificial Intelligence · Computer Science 2018-07-24 Peter Sutor , Douglas Summers-Stay , Yiannis Aloimonos

In this paper, we use a categorical and functorial set up to model the syntax and inference of logics with algebraic signature, extending previous works on algebraisation of logics. The main feature of this work is that structurality, or…

Category Theory · Mathematics 2021-09-22 Lingyuan Ye