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The notion of argumentation and the one of belief stand in a problematic relation to one another. On the one hand, argumentation is crucial for belief formation: as the outcome of a process of arguing, an agent might come to (justifiably)…

Logic in Computer Science · Computer Science 2021-06-23 Alfredo Burrieza , Antonio Yuste-Ginel

We revisit the duality between Kripke and algebraic semantics of intuitionistic and intuitionistic modal logic. We find that there is a certain mismatch between the two semantics, which means that not all algebraic models can be embedded…

Logic in Computer Science · Computer Science 2024-12-18 G. A. Kavvos

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

We present Dynamic Epistemic Temporal Logic, a framework for reasoning about operations on multi-agent Kripke models that contain a designated temporal relation. These operations are natural extensions of the well-known "action models" from…

Logic in Computer Science · Computer Science 2014-11-25 Bryan Renne , Joshua Sack , Audrey Yap

Justification logics are epistemic logics that explicitly include justifications for the agents' knowledge. We develop a multi-agent justification logic with evidence terms for individual agents as well as for common knowledge. We define a…

Logic in Computer Science · Computer Science 2023-08-01 Samuel Bucheli , Roman Kuznets , Thomas Studer

We propose a novel method for automatic reasoning on knowledge graphs based on debate dynamics. The main idea is to frame the task of triple classification as a debate game between two reinforcement learning agents which extract arguments…

Knowledge-grounded dialogue is a task of generating an informative response based on both the dialogue history and external knowledge source. In general, there are two forms of knowledge: manually annotated knowledge graphs and knowledge…

Computation and Language · Computer Science 2023-12-14 Yizhe Yang , Heyan Huang , Yihang Liu , Yang Gao

Epistemic modal logic normally views an epistemic situation as a Kripke model. We consider a more basic approach: to view an epistemic situation as a set W of possible states/worlds -- maximal consistent sets of propositions -- with…

Logic · Mathematics 2016-10-18 Sergei Artemov

We compare different epistemic notions in the presence of awareness of propositional variables: the logics of implicit knowledge (in which explicit knowledge is definable), explicit knowledge, and speculative knowledge. Different notions of…

Logic in Computer Science · Computer Science 2013-10-29 Hans van Ditmarsch , Tim French , Fernando R. Velazquez-Quesada , Yi N. Wang

Standard epistemic logics introduce a modal operator K to represent knowledge, but in doing so they presuppose the logical apparatus they aim to explain. By contrast, this paper explores how logic may be derived from the structure of…

Logic in Computer Science · Computer Science 2025-12-01 Alexader V. Gheorghiu , Tao Gu

We present a type of epistemic logics that encapsulates both the dynamics of acquiring knowledge (knowing) and losing information (forgetting), alongside the integration of group knowledge concepts. Our approach is underpinned by a system…

Logic in Computer Science · Computer Science 2024-10-31 Xiaolong Liang , Yì N. Wáng

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 give some semantic results for an epistemic logic incorporating dynamic operators to describe information changing events. Such events include epistemic changes, where agents become more informed about the non-changing state of the…

Logic in Computer Science · Computer Science 2011-11-02 H. P. van Ditmarsch , B. P. Kooi

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

We introduce a new semantics for a logic of explicit and implicit beliefs based on the concept of multi-agent belief base. Differently from existing Kripke-style semantics for epistemic logic in which the notions of possible world and…

Artificial Intelligence · Computer Science 2018-12-19 Emiliano Lorini

Common Knowledge Logic is meant to describe situations of the real world where a group of agents is involved. These agents share knowledge and make strong statements on the knowledge of the other agents (the so called \emph{common…

Computer Science and Game Theory · Computer Science 2007-12-20 Pierre Lescanne , Jérôme Puisségur

The computability power of a distributed computing model is determined by the communication media available to the processes, the timing assumptions about processes and communication, and the nature of failures that processes can suffer. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-27 Eric Goubault , Sergio Rajsbaum

In this paper, we generalize epistemic logic so that it can help reason about ways of combining common knowledge and distributed knowledge such as "common distributed knowledge", "distributed common knowledge", "distributed common…

Logic in Computer Science · Computer Science 2025-12-01 Chenwei Shi

Dynamic Epistemic Logic makes it possible to model and reason about information change in multi-agent systems. Information change is mathematically modeled through epistemic action Kripke models introduced by Baltag et al. Also, van…

Logic in Computer Science · Computer Science 2016-11-26 Mohammad Ardeshir Rasoul Ramezanian

We propose a novel method for fact-checking on knowledge graphs based on debate dynamics. The underlying idea is to frame the task of triple classification as a debate game between two reinforcement learning agents which extract arguments…

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