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The usual semantics of multi-agent epistemic logic is based on Kripke models, defined in terms of binary relations on a set of possible worlds. Recently, there has been a growing interest in using simplicial complexes rather than graphs, as…

Logic in Computer Science · Computer Science 2026-02-09 Éric Goubault , Jérémy Ledent , Sergio Rajsbaum

We study dynamic changes of agents' observational power in logics of knowledge and time. We consider CTL*K, the extension of CTL* with knowledge operators, and enrich it with a new operator that models a change in an agent's way of…

Logic in Computer Science · Computer Science 2018-09-05 Aurèle Barrière , Bastien Maubert , Aniello Murano , Sasha Rubin

We introduce AgenticSimLaw, a role-structured, multi-agent debate framework that provides transparent and controllable test-time reasoning for high-stakes tabular decision-making tasks. Unlike black-box approaches, our courtroom-style…

Artificial Intelligence · Computer Science 2026-01-30 Jon Chun , Kathrine Elkins , Yong Suk Lee

Multi-agent debate system (MAD) imitating the process of human discussion in pursuit of truth, aims to align the correct cognition of different agents for the optimal solution. It is challenging to make various agents perform right and…

Computation and Language · Computer Science 2024-07-12 Haotian Wang , Xiyuan Du , Weijiang Yu , Qianglong Chen , Kun Zhu , Zheng Chu , Lian Yan , Yi Guan

Existing multimodal document question-answering (QA) systems predominantly rely on flat semantic retrieval, representing documents as a set of disconnected text chunks and largely neglecting their intrinsic hierarchical and relational…

Information Retrieval · Computer Science 2026-01-28 ShunLiang Fu , Yanxin Zhang , Yixin Xiang , Xiaoyu Du , Jinhui Tang

We investigate multi-agent epistemic modal logic with common knowledge modalities for groups of agents and obtain van Benthem style model-theoretic characterisations, in terms of bisimulation invariance of classical first-order logic over…

Logic · Mathematics 2021-12-22 Felix Canavoi , Martin Otto

Synthesis of models and strategies is a very important problem in software engineering. The main element here is checking the satisfiability of formulae expressing the specification of a system to be implemented. This paper puts forward a…

Logic in Computer Science · Computer Science 2020-02-11 Magdalena Kacprzak , Artur Niewiadomski , Wojciech Penczek

Multi-agent systems (MAS) powered by large language models (LLMs) hold significant promise for solving complex decision-making tasks. However, the core process of collaborative decision-making (CDM) within these systems remains…

Artificial Intelligence · Computer Science 2025-08-19 Xuyang Zhao , Shiwan Zhao , Hualong Yu , Liting Zhang , Qicheng Li

This paper presents a method for synthesising sound and complete tableau calculi. Given a specification of the formal semantics of a logic, the method generates a set of tableau inference rules that can then be used to reason within the…

Logic in Computer Science · Computer Science 2015-07-01 Renate A. Schmidt , Dmitry Tishkovsky

Propositional linear time temporal logic (LTL) is the standard temporal logic for computing applications and many reasoning techniques and tools have been developed for it. Tableaux for deciding satisfiability have existed since the 1980s.…

Logic in Computer Science · Computer Science 2016-04-15 Mark Reynolds

Multi-agent systems have demonstrated exceptional performance in downstream tasks beyond diverse single agent baselines. A growing body of work has explored ways to improve their reasoning and collaboration, from vote, debate, to complex…

Artificial Intelligence · Computer Science 2026-02-13 Yu Yao , Jiayi Dong , Yang Yang , Ju Li , Yilun Du

We present a tableau-based algorithm for deciding satisfiability for propositional dynamic logic (PDL) which builds a finite rooted tree with ancestor loops and passes extra information from children to parents to separate good loops from…

Logic in Computer Science · Computer Science 2008-01-08 Pietro Abate , Rajeev Goré , Florian Widmann

We present Diagrammatica, a symbolic computation extension to the HEPTAPOD agentic framework, which enables LLM agents to plan and execute multi-step theoretical calculations. Symbolic computation poses a distinctive reliability challenge…

High Energy Physics - Phenomenology · Physics 2026-03-31 Tony Menzo , Alexander Roman , George T. Fleming , Sergei Gleyzer , Konstantin T. Matchev , Stephen Mrenna

We define and construct a new data structure, the tables, this structure generalizes the (finite) $k$-sets sets of Eilenberg \cite{Ei}, it is versatile (one can vary the letters, the words and the coefficients). We derive from this…

Multiagent Systems · Computer Science 2016-08-16 Cyrille Bertelle , Gérard Henry Edmond Duchamp , Khalaf Khatatneh

Multimodal Question Answering (MMQA) is crucial as it enables comprehensive understanding and accurate responses by integrating insights from diverse data representations such as tables, charts, and text. Most existing researches in MMQA…

Computation and Language · Computer Science 2024-10-30 Bowen Zhao , Tianhao Cheng , Yuejie Zhang , Ying Cheng , Rui Feng , Xiaobo Zhang

Epistemic logics are a primary formalism for multi-agent systems but major reasoning tasks in such epistemic logics are intractable, which impedes applications of multi-agent epistemic logics in automatic planning. Knowledge compilation…

Artificial Intelligence · Computer Science 2018-06-29 Liangda Fang , Kewen Wang , Zhe Wang , Ximing Wen

This paper considers two logics. The first one, $\mathbf{K}\mathsf{G}_\mathsf{inv}$, is an expansion of the G\"odel modal logic $\mathbf{K}\mathsf{G}$ with the involutive negation $\sim_\mathsf{i}$ defined as…

Logic · Mathematics 2024-01-30 Marta Bilkova , Thomas Ferguson , Daniil Kozhemiachenko

Amodal completion, the task of inferring invisible object parts, faces significant challenges in maintaining semantic consistency and structural integrity. Prior progressive approaches are inherently limited by inference instability and…

Computer Vision and Pattern Recognition · Computer Science 2025-12-25 Hongxing Fan , Shuyu Zhao , Jiayang Ao , Lu Sheng

This paper describes a general framework for automatic termination analysis of logic programs, where we understand by ``termination'' the finitenes s of the LD-tree constructed for the program and a given query. A general property of…

Programming Languages · Computer Science 2020-06-11 Nachum Dershowitz , Naomi Lindenstrauss , Yehoshua Sagiv , Alexander Serebrenik

We introduce a novel semantics for a multi-agent epistemic operator of knowing how, based on an indistinguishability relation between plans. Our proposal is, arguably, closer to the standard presentation of knowing that modalities in…

Logic in Computer Science · Computer Science 2023-04-04 Carlos Areces , Raul Fervari , Andrés R. Saravia , Fernando R. Velázquez-Quesada