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The notion of a context in formal concept analysis and that of an approximation space in rough set theory are unified in this study to define a Kripke context. For any context (G,M,I), a relation on the set G of objects and a relation on…

Logic · Mathematics 2022-04-12 Prosenjit Howlader , Mohua Banerjee

This paper combines the classical model of labeled transition systems with the epistemic model for reasoning about knowledge. The result is a unifying framework for modeling and analyzing multi-agent, knowledge-based, dynamic systems. On…

Artificial Intelligence · Computer Science 2025-12-03 Alessandro Aldini

Multiagent systems consist of agents that locally exchange information through a physical network subject to a graph topology. Current control methods for networked multiagent systems assume the knowledge of graph topologies in order to…

Optimization and Control · Mathematics 2015-01-15 Tansel Yucelen , John Daniel Peterson , Kevin L. Moore

We develop a conceptually clear, intuitive, and feasible decision procedure for testing satisfiability in the full multi-agent epistemic logic CMAEL(CD) with operators for common and distributed knowledge for all coalitions of agents…

Logic in Computer Science · Computer Science 2016-11-27 Mai Ajspur , Valentin Goranko , Dmitry Shkatov

Multi-agent debate has proven effective in improving large language models quality for reasoning and factuality tasks. While various role-playing strategies in multi-agent debates have been explored, in terms of the communication among…

Computation and Language · Computer Science 2024-06-18 Yunxuan Li , Yibing Du , Jiageng Zhang , Le Hou , Peter Grabowski , Yeqing Li , Eugene Ie

Artificial intelligence is reshaping scientific exploration, but most methods automate procedural tasks without engaging in scientific reasoning, limiting autonomy in discovery. We introduce Materials Agents for Simulation and Theory in…

There are many examples of dualities between topological spaces and algebras in the literature. Particularly, many of those examples come from the algebraic counterpart of a logical system, e.g, boolean and heyting algebras, MV-algebras,…

Category Theory · Mathematics 2023-11-08 Mayk de Andrade , Hugo Mariano

This paper explores the integration of advanced Multi-Agent Systems (MAS) techniques to develop a team of agents with enhanced logical reasoning, long-term knowledge retention, and Theory of Mind (ToM) capabilities. By uniting these core…

Multiagent Systems · Computer Science 2025-07-04 Adam Kostka , Jarosław A. Chudziak

Over the recent twenty years, argumentation has received considerable attention in the fields of knowledge representation, reasoning, and multi-agent systems. However, argumentation in dynamic multi-agent systems encounters the problem of…

Artificial Intelligence · Computer Science 2022-11-30 Minal Suresh Patil

The paper has a form of a survey and consists of three parts. It is focused on the relationship between the many-sorted theory, which leads to logical geometry and one-sorted theory, which is based on the important model-theoretic concepts.…

Logic · Mathematics 2014-06-13 Boris Plotkin , Eugene Plotkin

Distributed artificial intelligence (DAI) studies artificial intelligence entities working together to reason, plan, solve problems, organize behaviors and strategies, make collective decisions and learn. This Ph.D. research proposes a…

Multiagent Systems · Computer Science 2021-08-23 Qin Yang

This paper presents an algorithm for multiobjective optimization that blends together a number of heuristics. A population of agents combines heuristics that aim at exploring the search space both globally and in a neighborhood of each…

Computational Engineering, Finance, and Science · Computer Science 2012-06-07 Massimiliano Vasile , Federico Zuiani

Formal semantics and distributional semantics are distinct approaches to linguistic meaning: the former models meaning as reference via model-theoretic structures; the latter represents meaning as vectors in high-dimensional spaces shaped…

Logic · Mathematics 2026-02-04 Daniel Quigley

This thesis presents the theoretical, conceptual and methodological aspects that support the modeling of dynamical systems (DS) by using several agents. The modeling approach permits the assessment of properties representing order, change,…

Multiagent Systems · Computer Science 2016-06-03 Nelson Fernandez

We provide a comprehensive examination of agent-based approaches that codify the principles and linkages underlying multi-agent systems, simulations, and information systems. Based on two decades of study, this paper confirms a framework…

Multiagent Systems · Computer Science 2025-08-01 Virginia Padilla , Jacinto Dávila

For a (semi-)model category M, we define a notion of a ''homotopy'' Grothendieck topology on M, as well as its associated model category of stacks. We use this to define a notion of geometric stack over a symmetric monoidal base model…

Algebraic Geometry · Mathematics 2007-05-23 Bertrand Toen , Gabriele Vezzosi

Multi-agent systems (MAS) powered by large language models (LLMs) have emerged as a powerful paradigm for complex problem solving, where performance critically depends on the underlying inter-agent communication topology. However, existing…

Machine Learning · Computer Science 2026-05-19 Xuefei Wang , Jialu Wang , Fengbo Zhang , Yihan Hu , Di Zhang , Yutong Ye , Yikun Ban , Jun Han , Ruijie Wang

Large Language Model (LLM)-based Multi-Agent Systems (MAS) enhance complex problem solving through multi-agent collaboration, but often incur substantially higher costs than single-agent systems. Recent MAS routing methods aim to balance…

Multiagent Systems · Computer Science 2026-01-15 Di Zhao , Longhui Ma , Siwei Wang , Miao Wang , Yi Kong

Collaborative reasoning with multiple agents offers the potential for more robust and diverse problem-solving. However, existing approaches often suffer from homogeneous agent behaviors and lack of reflective and rethinking capabilities. We…

Artificial Intelligence · Computer Science 2025-11-13 Jian Zhang , Zhiyuan Wang , Zhangqi Wang , Fangzhi Xu , Qika Lin , Lingling Zhang , Rui Mao , Erik Cambria , Jun Liu

Multi-agent systems (MAS) composed of large language models often exhibit improved problem-solving performance despite operating on identical information. In this work, we provide a formal explanation for this phenomenon grounded in…

Computation and Language · Computer Science 2026-01-22 Christopher Scofield
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