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We study the task of conducting structured reasoning as generating a reasoning graph from natural language input using large language models (LLMs). Previous approaches have explored various prompting schemes, yet they suffer from error…

Computation and Language · Computer Science 2024-06-04 Inderjeet Nair , Lu Wang

Optimization problems with discrete-continuous decisions are traditionally modeled in algebraic form via (non)linear mixed-integer programming. A more systematic approach to modeling such systems is to use Generalized Disjunctive…

Optimization and Control · Mathematics 2023-03-09 Hector D. Perez , Ignacio E. Grossmann

This paper reports on the "Learning Computational Grammars" (LCG) project, a postdoc network devoted to studying the application of machine learning techniques to grammars suitable for computational use. We were interested in a more…

This paper provides a model theoretic semantics to feature terms augmented with set descriptions. We provide constraints to specify HPSG style set descriptions, fixed cardinality set descriptions, set-membership constraints, restricted…

cmp-lg · Computer Science 2008-02-03 Suresh Manandhar

Recent pre-trained language models (PLMs) equipped with foundation reasoning skills have shown remarkable performance on downstream complex tasks. However, the significant structure reasoning skill has been rarely studied, which involves…

Computation and Language · Computer Science 2023-07-18 Siyuan Wang , Zhongyu Wei , Jiarong Xu , Taishan Li , Zhihao Fan

Sequential Constraint Grammar (SCG) (Karlsson, 1990) and its extensions have lacked clear connections to formal language theory. The purpose of this article is to lay a foundation for these connections by simplifying the definition of…

Formal Languages and Automata Theory · Computer Science 2017-07-18 Anssi Yli-Jyrä

Statistical analysis of corpora provides an approach to quantitatively investigate natural languages. This approach has revealed that several power laws consistently emerge across different corpora and languages, suggesting universal…

Computation and Language · Computer Science 2026-03-16 Kai Nakaishi , Ryo Yoshida , Kohei Kajikawa , Koji Hukushima , Yohei Oseki

Sequence representations supporting not only direct access to their symbols, but also rank/select operations, are a fundamental building block in many compressed data structures. Several recent applications need to represent highly…

Data Structures and Algorithms · Computer Science 2019-11-25 Alberto Ordóñez , Gonzalo Navarro , Nieves R. Brisaboa

SYNTAGMA is a rule-based parsing system, structured on two levels: a general parsing engine and a language specific grammar. The parsing engine is a language independent program, while grammar and language specific rules and resources are…

Computation and Language · Computer Science 2016-01-22 Daniel Christen

Graph transformation is concerned with the manipulation of graphs by means of rules. Graph grammars have been traditionally studied using techniques from category theory. In previous works, we introduced Matrix Graph Grammars (MGGs) as a…

Discrete Mathematics · Computer Science 2009-02-06 Pedro Pablo Perez Velasco , Juan de Lara

The mathematical representation of semantics is a key issue for Natural Language Processing (NLP). A lot of research has been devoted to finding ways of representing the semantics of individual words in vector spaces. Distributional…

Computation and Language · Computer Science 2014-11-13 Karl Moritz Hermann

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

Compositional generalization is a key ability of humans that enables us to learn new concepts from only a handful examples. Neural machine learning models, including the now ubiquitous Transformers, struggle to generalize in this way, and…

Machine Learning · Computer Science 2024-01-19 Tim Klinger , Luke Liu , Soham Dan , Maxwell Crouse , Parikshit Ram , Alexander Gray

Fascinating and puzzling phenomena, such as landmark vector cells, splitter cells, and event-specific representations to name a few, are regularly discovered in the hippocampus. Without a unifying principle that can explain these divergent…

Neurons and Cognition · Quantitative Biology 2022-12-06 Rajkumar Vasudeva Raju , J. Swaroop Guntupalli , Guangyao Zhou , Miguel Lázaro-Gredilla , Dileep George

Matching Logic is a framework for specifying programming language semantics and reasoning about programs. Its formulas are called patterns and are built with variables, symbols, connectives and quantifiers. A pattern is a combination of…

Logic in Computer Science · Computer Science 2018-11-16 Andrei Arusoaie , Dorel Lucanu

Combining abstract, symbolic reasoning with continuous neural reasoning is a grand challenge of representation learning. As a step in this direction, we propose a new architecture, called neural equivalence networks, for the problem of…

Machine Learning · Computer Science 2017-06-13 Miltiadis Allamanis , Pankajan Chanthirasegaran , Pushmeet Kohli , Charles Sutton

Compositional generalization is a basic mechanism in human language learning, which current neural networks struggle with. A recently proposed Disentangled sequence-to-sequence model (Dangle) shows promising generalization capability by…

Computation and Language · Computer Science 2022-12-13 Hao Zheng , Mirella Lapata

Several studies on sentence processing suggest that the mental lexicon keeps track of the mutual expectations between words. Current DSMs, however, represent context words as separate features, thereby loosing important information for word…

Computation and Language · Computer Science 2016-10-06 Emmanuele Chersoni , Enrico Santus , Alessandro Lenci , Philippe Blache , Chu-Ren Huang

One of the fundamental requirements for models of semantic processing in dialogue is incrementality: a model must reflect how people interpret and generate language at least on a word-by-word basis, and handle phenomena such as fragments,…

Computation and Language · Computer Science 2018-11-05 Mehrnoosh Sadrzadeh , Matthew Purver , Julian Hough , Ruth Kempson

Syntactic structures used to play a vital role in natural language processing (NLP), but since the deep learning revolution, NLP has been gradually dominated by neural models that do not consider syntactic structures in their design. One…

Computation and Language · Computer Science 2023-11-28 Haoyi Wu , Kewei Tu
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