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This paper presents experiments on common knowledge logic, conducted with the help of the proof assistant Coq. The main feature of common knowledge logic is the eponymous modality that says that a group of agents shares a knowledge about a…

Artificial Intelligence · Computer Science 2008-01-16 Pierre Lescanne

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

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

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

In this paper, we address the logic of knowing why, an example of a non-standard epistemic logic dealing with justified knowledge via a new epistemic operator, under the extensions with ideas from dynamic epistemic logic, namely public…

Logic · Mathematics 2018-09-24 Nicholas Pischke

Dynamic epistemic logics which model abilities of agents to make various announcements and influence each other's knowledge have been studied extensively in recent years. Two notable examples of such logics are Group Announcement Logic and…

Logic in Computer Science · Computer Science 2017-07-28 Rustam Galimullin , Natasha Alechina

Dynamic epistemic logics which model abilities of agents to make various announcements and influence each other's knowledge have been studied extensively in recent years. Two notable examples of such logics are Group Announcement Logic and…

Logic in Computer Science · Computer Science 2018-10-08 Rustam Galimullin , Natasha Alechina

Reasoning about knowledge seems to play a fundamental role in distributed systems. Indeed, such reasoning is a central part of the informal intuitive arguments used in the design of distributed protocols. Communication in a distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Joseph Y. Halpern , Yoram Moses

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

This paper presents Co-Arg, a new type of cognitive assistant to an intelligence analyst that enables the synergistic integration of analyst imagination and expertise, computer knowledge and critical reasoning, and crowd wisdom, to draw…

Artificial Intelligence · Computer Science 2018-10-04 Mihai Boicu , Dorin Marcu , Gheorghe Tecuci , Lou Kaiser , Chirag Uttamsingh , Navya Kalale

Matching logic is a formalism for specifying, and reasoning about, mathematical structures, using patterns and pattern matching. Growing in popularity, it has been used to define many logical systems such as separation logic with recursive…

Logic in Computer Science · Computer Science 2022-09-22 Péter Bereczky , Xiaohong Chen , Dániel Horpácsi , Lucas Peña , Jan Tušil

Interactive proof assistants make it possible for ordinary mathematicians to write definitions and theorems in a formal proof language, like a programming language, so that a computer can parse them and check them against the rules of a…

History and Overview · Mathematics 2024-11-20 Jeremy Avigad , Johan Commelin , Heather Macbeth , Adam Topaz

The main contribution of this paper is the introduction of a dynamic logic formalism for reasoning about information flow in composite quantum systems. This builds on our previous work on a complete quantum dynamic logic for single systems.…

Quantum Physics · Physics 2021-10-05 Alexandru Baltag , Sonja Smets

Commonsense reasoning aims to incorporate sets of commonsense facts, retrieved from Commonsense Knowledge Graphs (CKG), to draw conclusion about ordinary situations. The dynamic nature of commonsense knowledge postulates models capable of…

Artificial Intelligence · Computer Science 2021-05-17 Farhad Moghimifar , Lizhen Qu , Yue Zhuo , Gholamreza Haffari , Mahsa Baktashmotlagh

Coordinating activities at different sites of a multi-agent system typically imposes epistemic constraints on the participants. Specifying explicit bounds on the relative times at which actions are performed induces combined temporal and…

Logic in Computer Science · Computer Science 2013-10-29 Yannai A. Gonczarowski , Yoram Moses

Humans prove theorems by relying on substantial high-level reasoning and problem-specific insights. Proof assistants offer a formalism that resembles human mathematical reasoning, representing theorems in higher-order logic and proofs as…

Logic in Computer Science · Computer Science 2019-05-24 Kaiyu Yang , Jia Deng

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

Logics for resource-bounded agents have been getting more and more attention in recent years since they provide us with more realistic tools for modelling and reasoning about multi-agent systems. While many existing approaches are based on…

Logic in Computer Science · Computer Science 2024-01-25 Vitaliy Dolgorukov , Rustam Galimullin , Maksim Gladyshev

Dynamic evaluation is a paradigm in computer algebra which was introduced for computing with algebraic numbers. In linear algebra, for instance, dynamic evaluation can be used to apply programs which have been written for matrices with…

Logic in Computer Science · Computer Science 2014-11-27 Jean-Guillaume Dumas , Dominique Duval , Burak Ekici , Damien Pous

In this survey we review dynamic epistemic logics with modalities for quantification over information change. Of such logics we present complete axiomatizations, focussing on axioms involving the interaction between knowledge and such…

Logic in Computer Science · Computer Science 2023-03-22 Hans van Ditmarsch
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