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In this paper, we propose a fresh perspective on argumentation semantics, to view them as a relational database. It offers encapsulation of the underlying argumentation graph, and allows us to understand argumentation semantics under a…

Artificial Intelligence · Computer Science 2021-04-27 Ryuta Arisaka , Takayuki Ito

Relational properties arise in many settings: relating two versions of a program that use different data representations, noninterference properties for security, etc. The main ingredient of relational verification, relating aligned pairs…

Logic in Computer Science · Computer Science 2016-11-29 Anindya Banerjee , David A. Naumann , Mohammad Nikouei

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

While argument mining has achieved significant success in classifying argumentative relations between statements (support, attack, and neutral), we have a limited computational understanding of logical mechanisms that constitute those…

Computation and Language · Computer Science 2021-05-18 Yohan Jo , Seojin Bang , Chris Reed , Eduard Hovy

Temporal logics are an obvious high-level descriptive companion formalism to dynamical systems which model behavior as deterministic evolution of state over time. A wide variety of distinct temporal logics applicable to dynamical systems…

Logic in Computer Science · Computer Science 2012-12-11 Baltasar Trancón y Widemann

Many forms of dependence manifest themselves over time, with behavior of variables in dynamical systems as a paradigmatic example. This paper studies temporal dependence in dynamical systems from a logical perspective, by enriching a…

Logic in Computer Science · Computer Science 2024-03-29 Alexandru Baltag , Johan van Benthem , Dazhu Li

Argumentation is a non-monotonic process. This reflects the fact that argumentation involves uncertain information, and so new information can cause a change in the conclusions drawn. However, the base logic does not need to be…

Artificial Intelligence · Computer Science 2018-09-05 Anthony Hunter

We develop a logical framework for reasoning about knowledge and evidence in which the agent may be uncertain about how to interpret their evidence. Rather than representing an evidential state as a fixed subset of the state space, our…

Logic in Computer Science · Computer Science 2019-07-23 Adam Bjorndahl , Aybüke Özgün

Proofs, in Ludics, have an interpretation provided by their counter-proofs, that is the objects they interact with. We follow the same idea by proposing that sentence meanings are given by the counter-meanings they are opposed to in a…

Computation and Language · Computer Science 2009-10-09 Alain Lecomte , Myriam Quatrini

Real-valued logics underlie an increasing number of neuro-symbolic approaches, though typically their logical inference capabilities are characterized only qualitatively. We provide foundations for establishing the correctness and power of…

Logic in Computer Science · Computer Science 2022-09-01 Ronald Fagin , Ryan Riegel , Alexander Gray

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

The use of logical systems for problem-solving may be as diverse as in proving theorems in mathematics or in figuring out how to meet up with a friend. In either case, the problem solving activity is captured by the search for an…

Logic in Computer Science · Computer Science 2023-03-28 Alexander V. Gheorghiu , David J. Pym

Temporal logics over finite traces have recently seen wide application in a number of areas, from business process modelling, monitoring, and mining to planning and decision making. However, real-life dynamic systems contain a degree of…

Logic in Computer Science · Computer Science 2019-11-19 Fabrizio M. Maggi , Marco Montali , Rafael Peñaloza

The present paper provides an analysis of the existing proof systems for dynamic epistemic logic from the viewpoint of proof-theoretic semantics. Dynamic epistemic logic is one of the best known members of a family of logical systems which…

Justification Logics provide a framework for reasoning about justifications and evidences. Most of the accounts of justification logics are crisp in the sense that agent's justifications for a statement is convincing or is not. In this…

Logic · Mathematics 2025-01-17 Meghdad Ghari

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

We introduce a new semantics for justification logic based on subset relations. Instead of using the established and more symbolic interpretation of justifications, we model justifications as sets of possible worlds. We introduce a new…

Logic · Mathematics 2020-08-19 Eveline Lehmann , Thomas Studer

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

We study conflict situations that dynamically arise in traffic scenarios, where different agents try to achieve their set of goals and have to decide on what to do based on their local perception. We distinguish several types of conflicts…

Multiagent Systems · Computer Science 2019-11-19 Werner Damm , Martin Fränzle , Willem Hagemann , Paul Kröger , Astrid Rakow