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This paper presents preliminary work on a general system for integrating dependent types into substructural type systems such as linear logic and linear type theory. Prior work on this front has generally managed to deliver type systems…

Logic in Computer Science · Computer Science 2024-01-30 C. B. Aberlé

Semantic dependency parsing aims to identify semantic relationships between words in a sentence that form a graph. In this paper, we propose a second-order semantic dependency parser, which takes into consideration not only individual…

Computation and Language · Computer Science 2021-02-25 Xinyu Wang , Jingxian Huang , Kewei Tu

We describe a cross-lingual adaptation method based on syntactic parse trees obtained from the Universal Dependencies (UD), which are consistent across languages, to develop classifiers in low-resource languages. The idea of UD parsing is…

Computation and Language · Computer Science 2020-03-31 Nasrin Taghizadeh , Heshaam Faili

Finding a denotational semantics for higher order quantum computation is a long-standing problem in the semantics of quantum programming languages. Most past approaches to this problem fell short in one way or another, either limiting the…

Logic in Computer Science · Computer Science 2013-11-12 Michele Pagani , Peter Selinger , Benoît Valiron

We consider the task of learning a context-dependent mapping from utterances to denotations. With only denotations at training time, we must search over a combinatorially large space of logical forms, which is even larger with…

Computation and Language · Computer Science 2016-06-20 Reginald Long , Panupong Pasupat , Percy Liang

Following the types-as-sets paradigm, we present a mechanized embedding of dependent function types with a hierarchy of universes into schematic first-order logic with equality, with axiom schemas of Tarski-Grothendieck set theory. We carry…

Logic in Computer Science · Computer Science 2026-03-16 Yunsong Yang , Simon Guilloud , Viktor Kunčak

We present a novel lambda calculus that casts the categorical approach to the study of quantum protocols into the rich and well established tradition of type theory. Our construction extends the linear typed lambda calculus with a linear…

Logic in Computer Science · Computer Science 2014-12-31 Philip Atzemoglou

There are various interesting semantics' (extensions) designed for argumentation frameworks. They enable to assign a meaning, e.g., to odd-length cycles. Our main motivation is to transfer semantics' proposed by Baroni, Giacomin and Guida…

Logic in Computer Science · Computer Science 2011-08-29 Monika Adamova , Jan Sefranek

English verbs have multiple forms. For instance, talk may also appear as talks, talked or talking, depending on the context. The NLP task of lemmatization seeks to map these diverse forms back to a canonical one, known as the lemma. We…

Computation and Language · Computer Science 2024-05-29 Chaitanya Malaviya , Shijie Wu , Ryan Cotterell

We investigate the use of different syntactic dependency representations in a neural relation classification task and compare the CoNLL, Stanford Basic and Universal Dependencies schemes. We further compare with a syntax-agnostic approach…

Computation and Language · Computer Science 2018-05-30 Farhad Nooralahzadeh , Lilja Øvrelid

The Resource Description Framework (RDF) is a fundamental technology in the Semantic Web, enabling the representation and interchange of structured data. However, RDF lacks the capability to express negated statements in a generic way. As a…

Logic in Computer Science · Computer Science 2024-06-18 Patrick Hochstenbach , Mathijs van Noort , Dörthe Arndt , Rebekka Martens , Jos De Roo , Ruben Verborgh , Pieter Bonte , Femke Ongenae

To answer database queries over incomplete data the gold standard is finding certain answers: those that are true regardless of how incomplete data is interpreted. Such answers can be found efficiently for conjunctive queries and their…

Databases · Computer Science 2023-10-20 Amélie Gheerbrant , Leonid Libkin , Alexandra Rogova , Cristina Sirangelo

Default logic can be regarded as a mechanism to represent families of belief sets of a reasoning agent. As such, it is inherently second-order. In this paper, we study the problem of representability of a family of theories as the set of…

Logic in Computer Science · Computer Science 2007-05-23 Victor Marek , Jan Treur , Miroslaw Truszczynski

Kuroda's translation embeds classical first-order logic into intuitionistic logic, through the insertion of double negations. Recently, Brown and Rizkallah extended this translation to higher-order logic. In this paper, we adapt it for…

Logic in Computer Science · Computer Science 2024-07-10 Thomas Traversié

We propose a new contextual-compositional neural network layer that handles out-of-vocabulary (OOV) words in natural language processing (NLP) tagging tasks. This layer consists of a model that attends to both the character sequence and the…

Machine Learning · Computer Science 2019-12-17 Nicolas Garneau , Jean-Samuel Leboeuf , Yuval Pinter , Luc Lamontagne

Learning disentangled representations of natural language is essential for many NLP tasks, e.g., conditional text generation, style transfer, personalized dialogue systems, etc. Similar problems have been studied extensively for other forms…

Machine Learning · Computer Science 2022-01-13 Pengyu Cheng , Martin Renqiang Min , Dinghan Shen , Christopher Malon , Yizhe Zhang , Yitong Li , Lawrence Carin

Dependency parsing aims to extract syntactic dependency structure or semantic dependency structure for sentences. Existing methods suffer the drawbacks of lacking universality or highly relying on the auxiliary decoder. To remedy these…

Computation and Language · Computer Science 2022-02-01 Boda Lin , Zijun Yao , Jiaxin Shi , Shulin Cao , Binghao Tang , Si Li , Yong Luo , Juanzi Li , Lei Hou

We introduce a category-theoreticabstraction of a syntax with auxiliary functions, called an admissiblemonad morphism. Relying on an abstract form of structural recursion,we then design generic tools to construct admissible monad…

Logic in Computer Science · Computer Science 2022-04-11 Tom Hirschowitz , Ambroise Lafont

The Universal Morphology UniMorph project is a collaborative effort to improve how NLP handles complex morphology across the world's languages. The project releases annotated morphological data using a universal tagset, the UniMorph schema.…

The importance of transformations and normal forms in logic programming, and generally in computer science, is well documented. This paper investigates transformations and normal forms in the context of Defeasible Logic, a simple but…

Logic in Computer Science · Computer Science 2021-02-16 G. Antoniou , D. Billington , G. Governatori , M. J. Maher