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This paper investigates the contingency of logic within the framework of possible world semantics. Possible world semantics captures the meaning of necessitation, i.e., a statement is necessarily true if it holds in all possible worlds.…

Statistics is sometimes described as the science of reasoning under uncertainty. Statistical models provide one view of this uncertainty, but what is frequently neglected is the 'invisible' portion of uncertainty: that assumed not to exist…

Methodology · Statistics 2026-03-18 Oliver L. Pescott , Robin J. Boyd , Gary D. Powney , Gavin B. Stewart

The aim of this of this paper is to study infinite games and to prove formally some properties in this framework. As a consequence we show that the behavior (the madness) of people which leads to speculative crashes or escalation can be…

Computer Science and Game Theory · Computer Science 2012-02-10 Pierre Lescanne

Logic can define how agents are provided or denied access to resources, how to interlink resources using mining processes and provide users with choices for possible next steps in a workflow. These decisions are for the most part hidden,…

Logic in Computer Science · Computer Science 2023-05-16 Patrick Hochstenbach , Jos De Roo , Ruben Verborgh

Logical reasoning is central to human cognition and intelligence. It includes deductive, inductive, and abductive reasoning. Past research of logical reasoning within AI uses formal language as knowledge representation and symbolic…

Computation and Language · Computer Science 2024-02-19 Zonglin Yang , Xinya Du , Rui Mao , Jinjie Ni , Erik Cambria

Large language models (LLMs) exhibit emergent behaviors suggestive of human-like reasoning. While recent work has identified structured conceptual representations within these models, it remains unclear whether they functionally rely on…

Computation and Language · Computer Science 2026-04-21 Ningyu Xu , Qi Zhang , Xipeng Qiu , Xuanjing Huang

Recent empirical and modeling research has focused on the semantic fluency task because it is informative about semantic memory. An interesting interplay arises between the richness of representations in semantic memory and the complexity…

Computation and Language · Computer Science 2016-02-12 Aida Nematzadeh , Filip Miscevic , Suzanne Stevenson

Distributional semantics has had enormous empirical success in Computational Linguistics and Cognitive Science in modeling various semantic phenomena, such as semantic similarity, and distributional models are widely used in…

Computation and Language · Computer Science 2019-05-20 Matthijs Westera , Gemma Boleda

The emergence of tools based on artificial intelligence has also led to the need of producing explanations which are understandable by a human being. In most approaches, the system is considered a black box, making it difficult to generate…

Artificial Intelligence · Computer Science 2024-10-23 Germán Vidal

Neural rationale models are popular for interpretable predictions of NLP tasks. In these, a selector extracts segments of the input text, called rationales, and passes these segments to a classifier for prediction. Since the rationale is…

Computation and Language · Computer Science 2022-07-26 Yiming Zheng , Serena Booth , Julie Shah , Yilun Zhou

The paper gives a soundness and completeness proof for the implicative fragment of intuitionistic calculus with respect to the semantics of computability logic, which understands intuitionistic implication as interactive algorithmic…

Logic in Computer Science · Computer Science 2011-04-15 Giorgi Japaridze

Neural language models are a powerful tool to embed words into semantic vector spaces. However, learning such models generally relies on the availability of abundant and diverse training examples. In highly specialised domains this…

Computation and Language · Computer Science 2015-12-04 Stephanie L. Hyland , Theofanis Karaletsos , Gunnar Rätsch

In this paper we propose a logic-based, framework inspired by artificial intelligence, but scaled down for practical database and programming applications. Computation in the framework is viewed as the task of generating a sequence of state…

Logic in Computer Science · Computer Science 2014-04-25 Robert Kowalski , Fariba Sadri

Due to the increased complexity of software development projects more and more systems are described by models. The sheer size makes it impractical to describe these systems by a single model. Instead many models are developed that provide…

Software Engineering · Computer Science 2014-09-24 Christoph Herrmann , Holger Krahn , Bernhard Rumpe , Martin Schindler , Steven Völkel

Early theories of perception as probabilistic inference propose that uncertainty about the interpretation of sensory input is represented as a probability distribution over many interpretations -- a relatively complex representation.…

Neurons and Cognition · Quantitative Biology 2025-10-01 Andrew Jun Lee , Daniel Turek , Omer Daglar Tanrikulu

Standard models of multi-agent modal logic do not capture the fact that information is often \emph{ambiguous}, and may be interpreted in different ways by different agents. We propose a framework that can model this, and consider different…

Artificial Intelligence · Computer Science 2014-01-10 Joseph Y. Halpern , Willemien Kets

I introduce a new approach to semantic information based upon the influence of erasure operations (interventions) upon distributions of a system's future trajectories through its phase space. Semantic (meaningful) information is…

Statistical Mechanics · Physics 2024-07-11 Stuart J Bartlett

In computer science, various logical languages are defined to analyze properties of systems. One way to pinpoint the essential differences between those logics is to compare their expressivity in terms of distinguishing power and expressive…

Logic in Computer Science · Computer Science 2009-05-28 Yanjing Wang , Francien Dechesne

Recently, incorporating natural language instructions into reinforcement learning (RL) to learn semantically meaningful representations and foster generalization has caught many concerns. However, the semantical information in language…

Computation and Language · Computer Science 2022-02-02 Yihan Li , Jinsheng Ren , Tianrun Xu , Tianren Zhang , Haichuan Gao , Feng Chen

This note is concerned with a formal analysis of the problem of non-monotonic reasoning in intelligent systems, especially when the uncertainty is taken into account in a quantitative way. A firm connection between logic and probability is…

Artificial Intelligence · Computer Science 2013-04-05 Hung-Trung Nguyen
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