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A large branch of explainable machine learning is grounded in cooperative game theory. However, research indicates that game-theoretic explanations may mislead or be hard to interpret. We argue that often there is a critical mismatch…

Machine Learning · Computer Science 2024-10-28 Luca Franceschi , Michele Donini , Cédric Archambeau , Matthias Seeger

Dynamic Epistemic Logic (DEL) is a family of multimodal logics that has proved to be very successful for epistemic reasoning in planning tasks. In this logic, the agent's knowledge is captured by modal epistemic operators whereas the system…

Artificial Intelligence · Computer Science 2019-05-28 Pedro Cabalar , Jorge Fandinno , Luis Fariñas del Cerro

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

We study the set of possible joint posterior belief distributions of a group of agents who share a common prior regarding a binary state, and who observe some information structure. For two agents we introduce a quantitative version of…

Theoretical Economics · Economics 2020-12-24 Itai Arieli , Yakov Babichenko , Fedor Sandomirskiy , Omer Tamuz

A shallow semantical embedding for public announcement logic with relativized common knowledge is presented. This embedding enables the first-time automation of this logic with off-the-shelf theorem provers for classical higher-order logic.…

Artificial Intelligence · Computer Science 2022-12-12 Christoph Benzmüller , Sebastian Reiche

Agents receive private signals about an unknown state. The resulting joint belief distributions are complex and lack a simple characterization. Our key insight is that, when conditioned on the state, the structure of belief distributions…

Theoretical Economics · Economics 2024-11-19 Itai Arieli , Yakov Babichenko , Fedor Sandomirskiy

We present an epistemic logic equipped with time-stamps in the atoms and epistemic operators, which allows to reason not only about information available to the different agents, but also about the moments at which events happens and new…

Logic in Computer Science · Computer Science 2018-05-10 Raúl Pardo , César Sánchez , Gerardo Schneider

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

A collaborative distributed binary decision problem is considered. Two statisticians are required to declare the correct probability measure of two jointly distributed memoryless process, denoted by $X^n=(X_1,\dots,X_n)$ and…

Information Theory · Computer Science 2016-04-11 Gil Katz , Pablo Piantanida , Merouane Debbah

A hybrid model for opinion dynamics in complex multi-agent networks is introduced, wherein some continuous-valued agents average neighbors' opinions to update their own, while other discrete-valued agents use stochastic copying and voting…

Systems and Control · Computer Science 2019-04-01 Mengran Xue , Sandip Roy

Description logic Knowledge and Action Bases (KAB) are a mechanism for providing both a semantically rich representation of the information on the domain of interest in terms of a description logic knowledge base and actions to change such…

Artificial Intelligence · Computer Science 2014-02-05 Babak Bagheri Hariri , Diego Calvanese , Marco Montali , Giuseppe De Giacomo , Riccardo De Masellis , Paolo Felli

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

Possibilistic logic bases and possibilistic graphs are two different frameworks of interest for representing knowledge. The former stratifies the pieces of knowledge (expressed by logical formulas) according to their level of certainty,…

Artificial Intelligence · Computer Science 2013-01-30 Salem Benferhat , Didier Dubois , Laurent Garcia , Henri Prade

In this paper, we investigate knowledge reasoning within a simple framework called knowledge structure. We use variable forgetting as a basic operation for one agent to reason about its own or other agents\ knowledge. In our framework, two…

Logic in Computer Science · Computer Science 2014-01-16 Kaile Su , Abdul Sattar , Guanfeng Lv , Yan Zhang

This work builds upon a well-established research tradition on modal logics of awareness. One of its aims is to export tools and techniques to other areas within modal logic. To this end, we illustrate a number of significant bridges with…

Logic in Computer Science · Computer Science 2023-07-12 Carlo Proietti , Fernando R. Velázquez-Quesada , Antonio Yuste-Ginel

Epistemic planning is the sub-field of AI planning that focuses on changing knowledge and belief. It is important in both multi-agent domains where agents need to have knowledge/belief regarding the environment, but also the beliefs of…

Artificial Intelligence · Computer Science 2025-10-20 Guang Hu , Tim Miller , Nir Lipovetzky

This paper makes a first step towards a logic of learning from experiments. For this, we investigate formal frameworks for modeling the interaction of causal and (qualitative) epistemic reasoning. Crucial for our approach is the idea that…

Artificial Intelligence · Computer Science 2021-12-02 Fausto Barbero , Katrin Schulz , Fernando R. Velázquez-Quesada , Kaibo Xie

Complete axiomatizations and exponential-time decision procedures are provided for reasoning about knowledge and common knowledge when there are infinitely many agents. The results show that reasoning about knowledge and common knowledge…

Logic in Computer Science · Computer Science 2007-05-23 Joseph Y. Halpern , Richard A. Shore

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 propose a multi-agent epistemic logic capturing reasoning with degrees of plausibility that agents can assign to a given statement, with $1$ interpreted as "entirely plausible for the agent" and $0$ as "completely implausible" (i.e., the…

Logic · Mathematics 2025-12-18 Marta Bílková , Thomas Ferguson , Daniil Kozhemiachenko
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