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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

We study notions of (virtual) group knowledge and group belief within multi-agent evidence models, obtained by extending the topological semantics of evidence-based belief and fallible knowledge from individuals to groups. We completely…

Artificial Intelligence · Computer Science 2025-09-03 Alexandru Baltag , Malvin Gattinger , Djanira Gomes

We propose a number of powerful dynamic-epistemic logics for multi-agent information sharing and acts of publicly or privately accessing other agents' information databases. The static base of our logics is obtained by adding to standard…

Logic in Computer Science · Computer Science 2021-09-16 Alexandru Baltag , Sonja Smets

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

We study distributed knowledge, which is what privately informed agents come to know by communicating freely with one another and sharing everything they know. Knowledge is not necessarily partitional: agents may be boundedly rational and…

Theoretical Economics · Economics 2025-05-13 Michele Crescenzi

We present a logical framework that enables us to define a formal theory of computational trust in which this notion is analysed in terms of epistemic attitudes towards the possible objects of trust and in relation to existing evidence in…

Logic in Computer Science · Computer Science 2025-06-19 Francesco A. Genco

Several rules for social choice are examined from a unifying point of view that looks at them as procedures for revising a system of degrees of belief in accordance with certain specified logical constraints. Belief is here a social…

Artificial Intelligence · Computer Science 2015-05-06 Rosa Camps , Xavier Mora , Laia Saumell

The classical view of epistemic logic is that an agent knows all the logical consequences of their knowledge base. This assumption of logical omniscience is often unrealistic and makes reasoning computationally intractable. One approach to…

Artificial Intelligence · Computer Science 2018-05-09 Yijia Chen , Abdallah Saffidine , Christoph Schwering

In recent years, epistemic logics have been extended with operators K_ax for knowledge of (the value of) a variable x (by an agent a). We study dynamic versions of these logics, enriched with modalities for semi-public data-exchange events…

Logic in Computer Science · Computer Science 2025-12-01 Alexandru Baltag , Sonja Smets

AGM's belief revision is one of the main paradigms in the study of belief change operations. In this context, belief bases (prioritised bases) have been primarily used to specify the agent's belief state. While the connection of iterated…

Logic in Computer Science · Computer Science 2019-12-24 Marlo Souza , Álvaro Moreira

Collective intelligence is believed to underly the remarkable success of human society. The formation of accurate shared beliefs is one of the key components of human collective intelligence. How are accurate shared beliefs formed in groups…

Computers and Society · Computer Science 2016-08-08 Peter M. Krafft , Julia Zheng , Wei Pan , Nicolás Della Penna , Yaniv Altshuler , Erez Shmueli , Joshua B. Tenenbaum , Alex Pentland

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

A semantics is given to possibilistic logic, a logic that handles weighted classical logic formulae, and where weights are interpreted as lower bounds on degrees of certainty or possibility, in the sense of Zadeh's possibility theory. The…

Artificial Intelligence · Computer Science 2013-03-26 Jerome Lang , Didier Dubois , Henri Prade

Traditionally, an agent's beliefs would come from what the agent can see, hear, or sense. In the modern world, beliefs are often based on the data available to the agents. In this work, we investigate a dynamic logic of such beliefs that…

Logic in Computer Science · Computer Science 2025-11-04 Junli Jiang , Pavel Naumov , Wenxuan Zhang

Motivated by the search for forms of distributed belief that do not collapse in the face of conflicting information, this paper introduces the notions of cautious and bold distributed belief. Both notions rely on maximally consistent…

Logic in Computer Science · Computer Science 2024-08-21 John Lindqvist , Fernando R. Velázquez-Quesada , Thomas Ågotnes

In Dempster-Shafer belief theory, general beliefs are expressed as belief mass distribution functions over frames of discernment. In Subjective Logic beliefs are expressed as belief mass distribution functions over binary frames of…

Artificial Intelligence · Computer Science 2007-05-23 Audun Josang

Distributed knowledge is a key concept in the standard epistemic logic of knowledge-that. In this paper, we propose a corresponding notion of distributed knowledge-how and study its logic. Our framework generalizes two existing traditions…

Logic in Computer Science · Computer Science 2025-12-01 Bin Liu , Yanjing Wang

In this paper, we delve into the study of epistemic logics, interpreted through similarity models based on weighted graphs. We explore eight languages that extend the traditional epistemic language by incorporating modalities of common,…

Logic in Computer Science · Computer Science 2023-10-03 Xiaolong Liang , Yì N. Wáng

We use a novel type of epistemic logic, employing comparative knowledge assertions, to analyze the relative epistemic powers of individuals or groups of agents. Such comparative assertions can express that a group has the potential to…

Logic in Computer Science · Computer Science 2025-12-09 Baltag Alexandru , Smets Sonja

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
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