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Human language defines the most complex outcomes of evolution. The emergence of such an elaborated form of communication allowed humans to create extremely structured societies and manage symbols at different levels including, among others,…

Physics and Society · Physics 2014-03-14 Ricard V. Solé , Luís F. Seoane

Lexical ambiguity is widespread in language, allowing for the reuse of economical word forms and therefore making language more efficient. If ambiguous words cannot be disambiguated from context, however, this gain in efficiency might make…

Computation and Language · Computer Science 2024-05-29 Tiago Pimentel , Rowan Hall Maudslay , Damián Blasi , Ryan Cotterell

These are lecture notes on the algebraic approach to regular languages. The classical algebraic approach is for finite words; it uses semigroups instead of automata. However, the algebraic approach can be extended to structures beyond…

Formal Languages and Automata Theory · Computer Science 2020-08-27 Mikołaj Bojańczyk

The quality of rationales is essential in the reasoning capabilities of language models. Rationales not only enhance reasoning performance in complex natural language tasks but also justify model decisions. However, obtaining impeccable…

Computation and Language · Computer Science 2025-03-05 Hazel H. Kim

Bernard Lang defines parsing as the calculation of the intersection of a FSA (the input) and a CFG. Viewing the input for parsing as a FSA rather than as a string combines well with some approaches in speech understanding systems, in which…

cmp-lg · Computer Science 2008-02-03 Gertjan van Noord

Labeled unranked trees are used as a model of XML documents, and logical languages for them have been studied actively over the past several years. Such logics have different purposes: some are better suited for extracting data, some for…

Logic in Computer Science · Computer Science 2017-01-11 Leonid Libkin

Information flows by routes inside the network via mechanisms implemented in the model. These routes can be represented as graphs where nodes correspond to token representations and edges to operations inside the network. We automatically…

Computation and Language · Computer Science 2024-04-18 Javier Ferrando , Elena Voita

Although Large Language Models (LLMs) excel at addressing straightforward reasoning tasks, they frequently struggle with difficulties when confronted by more complex multi-step reasoning due to a range of factors. Firstly, natural language…

Computation and Language · Computer Science 2024-02-22 Kewei Cheng , Nesreen K. Ahmed , Theodore Willke , Yizhou Sun

Practical semantic parsers are expected to understand user utterances and map them to executable programs, even when these are ambiguous. We introduce a new benchmark, AMBROSIA, which we hope will inform and inspire the development of…

Computation and Language · Computer Science 2024-11-01 Irina Saparina , Mirella Lapata

To resolve the semantic ambiguity in texts, we propose a model, which innovatively combines a knowledge graph with an improved attention mechanism. An existing knowledge base is utilized to enrich the text with relevant contextual concepts.…

Computation and Language · Computer Science 2024-01-30 Siyu Li , Lu Chen , Chenwei Song , Xinyi Liu

Given an $\omega$-automaton and a set of substitutions, we look at which accepted words can also be defined through these substitutions, and in particular if there is at least one. We introduce a method using desubstitution of…

Formal Languages and Automata Theory · Computer Science 2023-04-12 Pierre Béaur , Benjamin Hellouin de Menibus

Let $X=(V\!X,E\!X)$ be an infinite, locally finite, connected graph without loops or multiple edges. We consider the edges to be oriented, and $E\!X$ is equipped with an involution which inverts the orientation. Each oriented edge is…

Combinatorics · Mathematics 2019-03-07 Christian Lindorfer , Wolfgang Woess

The article suggests a description of a system of tables with a set of special lists absorbing a semantics of data and reflects a fullness of data. It shows how their parallel processing can be constructed based on the descriptions. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-11-03 R. Nuriyev

We introduce heap automata, a formalism for automatic reasoning about robustness properties of the symbolic heap fragment of separation logic with user-defined inductive predicates. Robustness properties, such as satisfiability,…

Logic in Computer Science · Computer Science 2016-10-25 Christina Jansen , Jens Katelaan , Christoph Matheja , Thomas Noll , Florian Zuleger

We explore recently introduced definition modeling technique that provided the tool for evaluation of different distributed vector representations of words through modeling dictionary definitions of words. In this work, we study the problem…

Computation and Language · Computer Science 2018-06-27 Artyom Gadetsky , Ilya Yakubovskiy , Dmitry Vetrov

In neural network models of language, words are commonly represented using context-invariant representations (word embeddings) which are then put in context in the hidden layers. Since words are often ambiguous, representing the…

Computation and Language · Computer Science 2019-06-13 Laura Aina , Kristina Gulordava , Gemma Boleda

Reasoning with declarative knowledge (RDK) and sequential decision-making (SDM) are two key research areas in artificial intelligence. RDK methods reason with declarative domain knowledge, including commonsense knowledge, that is either…

Artificial Intelligence · Computer Science 2022-07-01 Shiqi Zhang , Mohan Sridharan

As a contribution to the challenge of building game-playing AI systems, we develop and analyse a formal language for representing and reasoning about strategies. Our logical language builds on the existing general Game Description Language…

Artificial Intelligence · Computer Science 2014-07-22 Dongmo Zhang , Michael Thielsher

Large language models perform well on many reasoning tasks, yet they often lack awareness of whether their current knowledge or reasoning state is complete. In non-interactive puzzle settings, the narrative is fixed and the underlying…

Artificial Intelligence · Computer Science 2026-04-23 Fulong Fan , Peilin Liu , Fengzhe Liu , Shuyan Yang , Gang Yan

We present a comprehensive language theoretic causality analysis framework for explaining safety property violations in the setting of concurrent reactive systems. Our framework allows us to uniformly express a number of causality notions…

Formal Languages and Automata Theory · Computer Science 2019-01-04 Rayna Dimitrova , Rupak Majumdar , Vinayak S. Prabhu