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We introduce the concept of access-based intuitionistic knowledge which relies on the intuition that agent $i$ knows $\varphi$ if $i$ has found access to a proof of $\varphi$. Basic principles are distribution and factivity of knowledge as…

Logic in Computer Science · Computer Science 2021-02-25 Steffen Lewitzka

This paper establishes a dual theory about knowledge and argumentation. Our idea is rooted at both epistemic logic and argumentation theory, and we aim to merge these two fields, not just in a superficial way but to thoroughly disclose the…

Logic in Computer Science · Computer Science 2022-09-28 Xinyu Wang , Momoka Fujieda

This comprehensive report distinguishes prior works by the cognitive functions they innovate. Many works claim an almost "human-like" cognitive capability in their world models. To evaluate these claims requires a proper grounding in first…

Uniform interpolation is the property that, for any formula and set of atoms, there exists the strongest consequence omitting those atoms. It plays a central role in knowledge representation and reasoning tasks such as knowledge update and…

Logic in Computer Science · Computer Science 2026-03-31 Kexu Wang , Liangda Fang

Categorization systems are widely studied in psychology, sociology, and organization theory as information-structuring devices which are critical to decision-making processes. In the present paper, we introduce a sound and complete…

Logic in Computer Science · Computer Science 2017-07-28 Willem Conradie , Sabine Frittella , Alessandra Palmigiano , Michele Piazzai , Apostolos Tzimoulis , Nachoem M. Wijnberg

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

Knowledge-based programs specify multi-agent protocols with epistemic guards that abstract from how agents learn and record facts or information about other agents and the environment. Their interpretation involves a non-monotone mutual…

Programming Languages · Computer Science 2023-01-27 Alexander Knapp , Heribert Mühlberger , Bernhard Reus

Epistemic reasoning requires agents to infer the state of the world from partial observations and information about other agents' knowledge. Prior work evaluating LLMs on canonical epistemic puzzles interpreted their behavior through a…

Computation and Language · Computer Science 2026-03-24 Adi Gabay , Gabriel Stanovsky , Liat Peterfreund

Epistemic logics typically talk about knowledge of individual agents or groups of explicitly listed agents. Often, however, one wishes to express knowledge of groups of agents specified by a given property, as in `it is common knowledge…

Artificial Intelligence · Computer Science 2022-11-30 Merlin Humml , Lutz Schröder

The study of group knowledge concepts such as mutual, common, and distributed knowledge is well established within the discipline of epistemic logic. In this work, we incorporate epistemic abilities of agents to refine the formal definition…

Logic in Computer Science · Computer Science 2024-07-02 Xiaolong Liang , Yì N. Wáng

This paper revisits the multi-agent epistemic logic presented in [10], where agents and sets of agents are replaced by abstract, intensional "names". We make three contributions. First, we study its model theory, providing adequate notions…

Logic in Computer Science · Computer Science 2021-06-23 Marta Bílková , Zoé Christoff , Olivier Roy

We consider two simple variants of a framework for reasoning about knowledge amongst communicating groups of players. Our goal is to clarify the resulting epistemic issues. In particular, we investigate what is the impact of common…

Logic in Computer Science · Computer Science 2009-07-03 Krzysztof R. Apt , Andreas Witzel , Jonathan A. Zvesper

Conceptualization, or viewing entities and situations as instances of abstract concepts in mind and making inferences based on that, is a vital component in human intelligence for commonsense reasoning. Despite recent progress in artificial…

Computation and Language · Computer Science 2024-05-21 Mutian He , Tianqing Fang , Weiqi Wang , Yangqiu Song

We propose a logic of knowledge for impure simplicial complexes. Impure simplicial complexes represent synchronous distributed systems under uncertainty over which processes are still active (are alive) and which processes have failed or…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-21 Hans van Ditmarsch , Roman Kuznets

A major difficulty in developing and maintaining very large knowledge bases originates from the variety of forms in which knowledge is made available to the KB builder. The objective of this research is to bring together two complementary…

Artificial Intelligence · Computer Science 2013-04-05 John Yen , Piero P. Bonissone

People ``understand'' the world via vision, hearing, tactile, and also the past experience. Human experience can be learned through normal learning (we call it explicit knowledge), or subconsciously (we call it implicit knowledge). These…

Computer Vision and Pattern Recognition · Computer Science 2021-05-11 Chien-Yao Wang , I-Hau Yeh , Hong-Yuan Mark Liao

Coordinating activities at different sites of a multi-agent system typically imposes epistemic constraints on the participants. Specifying explicit bounds on the relative times at which actions are performed induces combined temporal and…

Logic in Computer Science · Computer Science 2013-10-29 Yannai A. Gonczarowski , Yoram Moses

We present the detailed account of the quantum(-like) viewpoint to common knowledge. The Binmore-Brandenburger operator approach to the notion of common knowledge is extended to the quantum case. We develop a special quantum(-like) model of…

Logic in Computer Science · Computer Science 2014-07-29 Irina Basieva , Andrei Khrennikov

In this paper, we present a conceptual model game to examine the dynamics of asymmetric interactions in games with imperfect information. The game involves two agents with starkly contrasting capabilities: one agent can take actions but has…

Multiagent Systems · Computer Science 2025-01-09 Fabian Farestam , Dilian Gurov

In this paper, we propose a single-agent logic of goal-directed knowing how extending the standard epistemic logic of knowing that with a new knowing how operator. The semantics of the new operator is based on the idea that knowing how to…

Artificial Intelligence · Computer Science 2017-05-16 Raul Fervari , Andreas Herzig , Yanjun Li , Yanjing Wang