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We study probabilistic team semantics which is a semantical framework allowing the study of logical and probabilistic dependencies simultaneously. We examine and classify the expressive power of logical formalisms arising by different…

Logic in Computer Science · Computer Science 2019-02-26 Miika Hannula , Åsa Hirvonen , Juha Kontinen , Vadim Kulikov , Jonni Virtema

Brandenburger, Friedenberg, and Keisler provide an epistemic characterization of iterated admissibility (i.e., iterated deletion of weakly dominated strategies) where uncertainty is represented using LPSs (lexicographic probability…

Artificial Intelligence · Computer Science 2009-06-24 Joseph Y. Halpern , Rafael Pass

We propose a many-sorted modal logic for reasoning about knowledge in multi-agent systems. Our logic introduces a clear distinction between participating agents and the environment. This allows to express local properties of agents and…

Logic in Computer Science · Computer Science 2023-08-02 Eric Goubault , Roman Kniazev , Jérémy Ledent

Coalition logic is one of the most popular logics for multi-agent systems. While epistemic extensions of coalition logic have received much attention, existence of their complete axiomatisations has so far been an open problem. In this…

Logic in Computer Science · Computer Science 2011-07-04 Thomas Ågotnes , Natasha Alechina

We introduce an expressive probabilistic temporal epistemic logic PTEL suitable to reason about uncertain knowledge of a non-rigid set of agents that can be changed during time. We define semantics for PTEL as Kripke models with epistemic…

Logic · Mathematics 2021-05-27 Zoran Ognjanović , Angelina Ilić Stepić , Aleksandar Perović

Representations are essential to mathematically model phenomena, but there are many options available. While each of those options provides useful properties with which to solve problems related to the phenomena in study, comparing results…

Logic in Computer Science · Computer Science 2025-10-01 Luke Bayzid , Alexandre Madeira , Manuel A. Martins

The paper considers epistemic properties of linear communication chains. It describes a sound and complete logical system that, in addition to the standard axioms of S5 in a multi-modal language, contains two non-trivial axioms that capture…

Logic in Computer Science · Computer Science 2013-10-29 Jeffrey Kane , Pavel Naumov

This paper is a contribution to the theoretical foundations of strategies. We first present a general definition of abstract strategies which is extensional in the sense that a strategy is defined explicitly as a set of derivations of an…

Computer Science and Game Theory · Computer Science 2010-01-26 Tony Bourdier , Horatiu Cirstea , Daniel Dougherty , Hélène Kirchner

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

Textual analytics based on representations of documents as bags of words have been reasonably successful. However, analysis that requires deeper insight into language, into author properties, or into the contexts in which documents were…

Computation and Language · Computer Science 2018-06-15 D. B. Skillicorn , N. Alsadhan

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

In standard epistemic logic, agent names are usually assumed to be common knowledge implicitly. This is unreasonable for various applications. Inspired by term modal logic and assignment operators in dynamic logic, we introduce a…

Artificial Intelligence · Computer Science 2018-06-26 Yanjing Wang , Jeremy Seligman

Social scientists have shown an increasing interest in understanding the structure of knowledge communities, and particularly the organization of "epistemic communities", that is groups of agents sharing common knowledge concerns. However,…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Camille Roth , Paul Bourgine

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

Standard models of multi-agent modal logic do not capture the fact that information is often \emph{ambiguous}, and may be interpreted in different ways by different agents. We propose a framework that can model this, and consider different…

Artificial Intelligence · Computer Science 2014-01-10 Joseph Y. Halpern , Willemien Kets

We seize the opportunity of the publication of selected papers from the \emph{Logic, categories, semantics} workshop in the \emph{Journal of Applied Logic} to survey some current trends in logic, namely intuitionistic and linear type…

Category Theory · Mathematics 2014-02-07 Jean Gillibert , Christian Retoré

Epistemic logic is known as a logic that captures the knowledge and beliefs of agents and has undergone various developments since Hintikka (1962). In this paper, we propose a new logic called agent-knowledge logic by taking the product of…

Logic · Mathematics 2025-01-03 Yuki Nishimura

Probabilistic team semantics is a framework for logical analysis of probabilistic dependencies. Our focus is on the axiomatizability, complexity, and expressivity of probabilistic inclusion logic and its extensions. We identify a natural…

Logic in Computer Science · Computer Science 2021-12-22 Miika Hannula , Jonni Virtema

Axiomatizing mathematical structures and theories is an objective of Mathematical Logic. Some axiomatic systems are nowadays mere definitions, such as the axioms of Group Theory; but some systems are much deeper, such as the axioms of…

Logic · Mathematics 2023-05-18 Saeed Salehi

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