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We introduce a modal logic for describing statistical knowledge, which we call statistical epistemic logic. We propose a Kripke model dealing with probability distributions and stochastic assignments, and show a stochastic semantics for the…

Logic in Computer Science · Computer Science 2023-07-19 Yusuke Kawamoto

We explore a fuzzy modal logic that can formalise probabilistic reasoning about actions and knowledge. In particular, we deal with contexts involving statements about events expressed via modal formulas, e.g., "after doing $a$, the…

Logic in Computer Science · Computer Science 2026-04-27 Daniil Kozhemiachenko , Igor Sedlár

This paper introduces epistemic graphs as a generalization of the epistemic approach to probabilistic argumentation. In these graphs, an argument can be believed or disbelieved up to a given degree, thus providing a more fine--grained…

Artificial Intelligence · Computer Science 2020-01-15 Anthony Hunter , Sylwia Polberg , Matthias Thimm

Dynamic evidence logics are logics for reasoning about the evidence and evidence-based beliefs of agents in a dynamic environment. In this paper, we introduce a family of logics for reasoning about relational evidence: evidence that…

Logic in Computer Science · Computer Science 2017-06-20 Alexandru Baltag , Andrés Occhipinti Liberman

Logics for reasoning about knowledge and actions have seen many applications in various domains of multi-agent systems, including epistemic planning. Change of knowledge based on observations about the surroundings forms a key aspect in…

Artificial Intelligence · Computer Science 2025-08-14 Avijeet Ghosh , Sujata Ghosh , François Schwarzentruber

Relation-changing modal logics are extensions of the basic modal logic that allow changes to the accessibility relation of a model during the evaluation of a formula. In particular, they are equipped with dynamic modalities that are able to…

Logic in Computer Science · Computer Science 2016-09-15 Carlos Areces , Raul Fervari , Guillaume Hoffmann , Mauricio Martel

Recent ideas about epistemic modals and indicative conditionals in formal semantics have significant overlap with ideas in modal logic and dynamic epistemic logic. The purpose of this paper is to show how greater interaction between formal…

Logic in Computer Science · Computer Science 2017-08-07 Wesley H. Holliday , Thomas F. Icard

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

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

Temporal epistemic logic is a well-established framework for expressing agents knowledge and how it evolves over time. Within language-based security these are central issues, for instance in the context of declassification. We propose to…

Cryptography and Security · Computer Science 2012-09-03 Musard Balliu , Mads Dam , Gurvan Le Guernic

Modal logics allow reasoning about various modes of truth: for example, what it means for something to be possibly true, or to know that something is true as opposed to merely believing it. This report describes embeddings of propositional…

Logic in Computer Science · Computer Science 2022-05-16 John Rushby

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

Quantification over public announcements shifts the perspective from reasoning strictly about the results of a particular announcement to reasoning about the existence of an announcement that achieves some certain epistemic goal. Depending…

Logic in Computer Science · Computer Science 2021-06-23 Hans van Ditmarsch , Tim French , Rustam Galimullin

In this paper, we present an alternative interpretation of propositional inquisitive logic as an epistemic logic of knowing how. In our setting, an inquisitive logic formula $\alpha$ being supported by a state is formalized as "knowing how…

Logic · Mathematics 2022-06-06 Haoyu Wang , Yanjing Wang , Yunsong Wang

Epistemic logic has become a major field of philosophical logic ever since the groundbreaking work by Hintikka (1962). Despite its various successful applications in theoretical computer science, AI, and game theory, the technical…

Artificial Intelligence · Computer Science 2016-11-24 Yanjing Wang

Justification logics are modal-like logics with the additional capability of recording the reason, or justification, for modalities in syntactic structures, called justification terms. Justification logics can be seen as explicit…

Logic in Computer Science · Computer Science 2015-10-27 Samuel Bucheli

We provide algebraic semantics together with a sound and complete sequent calculus for information update due to epistemic actions. This semantics is flexible enough to accommodate incomplete as well as wrong information e.g.due to secrecy…

Logic · Mathematics 2007-05-23 Alexandru Baltag , Bob Coecke , Mehrnoosh Sadrzadeh

We study knowable informational dependence between empirical questions, modeled as continuous functional dependence between variables in a topological setting. We also investigate epistemic independence in topological terms and show that it…

Logic · Mathematics 2024-01-17 Alexandru Baltag , Johan van Benthem

We observe some puzzling linguistic data concerning ordinary knowledge ascriptions that embed an epistemic (im)possibility claim. We conclude that it is untenable to jointly endorse both classical logic and a pair of intuitively attractive…

Logic in Computer Science · Computer Science 2023-07-12 Peter Hawke

We propose a new formalization of legal competences, and in particular for the Hohfeldian categories of power and immunity, through a deontic reinterpretation of dynamic epistemic logic. We argue that this logic explicitly captures the…

Logic in Computer Science · Computer Science 2021-10-12 Huimin Dong , Olivier Roy