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Argumentation theory is a powerful paradigm that formalizes a type of commonsense reasoning that aims to simulate the human ability to resolve a specific problem in an intelligent manner. A classical argumentation process takes into account…

Artificial Intelligence · Computer Science 2019-03-06 Maximiliano C. D. Budán , Gerardo I. Simari , Ignacio Viglizzo , Guillermo R. Simari

We develop a model of abduction in abstract argumentation, where changes to an argumentation framework act as hypotheses to explain the support of an observation. We present dialogical proof theories for the main decision problems (i.e.,…

Artificial Intelligence · Computer Science 2014-07-16 Richard Booth , Dov Gabbay , Souhila Kaci , Tjitze Rienstra , Leendert van der Torre

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

A framework is presented for a computational theory of probabilistic argument. The Probabilistic Reasoning Environment encodes knowledge at three levels. At the deepest level are a set of schemata encoding the system's domain knowledge.…

Artificial Intelligence · Computer Science 2013-04-05 Kathryn Blackmond Laskey

We present a logical framework that enables us to define a formal theory of computational trust in which this notion is analysed in terms of epistemic attitudes towards the possible objects of trust and in relation to existing evidence in…

Logic in Computer Science · Computer Science 2025-06-19 Francesco A. Genco

We consider multi-agent argumentation, where each agent's view of the arguments is encoded as an argumentation framework (AF). Then we study deliberative processes than can occur on this basis. We think of a deliberative process as taking…

Logic in Computer Science · Computer Science 2014-08-08 Truls Pedersen , Sjur Dyrkolbotn

Formal logic has often been seen as uniquely placed to analyze mathematical argumentation. While formal logic is certainly necessary for a complete understanding of mathematical practice, it is not sufficient. Important aspects of…

History and Overview · Mathematics 2024-05-06 Andrew Aberdein , Zoe Ashton

Modelling qualitative uncertainty in formal argumentation is essential both for practical applications and theoretical understanding. Yet, most of the existing works focus on \textit{abstract} models for arguing with uncertainty. Following…

Artificial Intelligence · Computer Science 2026-02-18 Carlo Proietti , Antonio Yuste-Ginel

This paper is aimed at providing a uniform framework for reasoning about beliefs of multiple agents and their fusion. In the first part of the paper, we develop logics for reasoning about cautiously merged beliefs of agents with different…

Artificial Intelligence · Computer Science 2007-05-23 Churn-Jung Liau

Many dialogue management frameworks allow the system designer to directly define belief rules to implement an efficient dialog policy. Because these rules are directly defined, the components are said to be hand-crafted. As dialogues become…

Artificial Intelligence · Computer Science 2019-05-22 Aishwarya Chhabra , Pratik Saini , Amit Sangroya , C. Anantaram

Belief systems are often treated as globally consistent sets of propositions or as scalar-valued probability distributions. Such representations tend to obscure the internal structure of belief, conflate external credibility with internal…

Artificial Intelligence · Computer Science 2025-08-06 Saleh Nikooroo

One aspect of the algorithmic lens in theoretical computer science is a view on other scientific disciplines that focuses on satisfactory solutions that adhere to real-world constraints, as opposed to solutions that would be optimal…

Computer Science and Game Theory · Computer Science 2024-03-14 Eric Neyman

Through a series of examples, we illustrate some important drawbacks that the action logic framework suffers from in its ability to represent the dynamics of information updates. We argue that these problems stem from the fact that the…

Logic in Computer Science · Computer Science 2017-07-28 Will Nalls , Adam Bjorndahl

Convincing someone of the truth value of a premise requires understanding and articulating the core logical structure of the argument which proves or disproves the premise. Understanding the logical structure of an argument refers to…

Computation and Language · Computer Science 2025-08-21 Krunal Shah , Dan Roth

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

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

This paper presents Abduction and Argumentation as two principled forms for reasoning, and fleshes out the fundamental role that they can play within Machine Learning. It reviews the state-of-the-art work over the past few decades on the…

Artificial Intelligence · Computer Science 2020-10-27 Antonis Kakas , Loizos Michael

We use a novel type of epistemic logic, employing comparative knowledge assertions, to analyze the relative epistemic powers of individuals or groups of agents. Such comparative assertions can express that a group has the potential to…

Logic in Computer Science · Computer Science 2025-12-09 Baltag Alexandru , Smets Sonja

Distributed knowledge based applications in open domain rely on common sense information which is bound to be uncertain and incomplete. To draw the useful conclusions from ambiguous data, one must address uncertainties and conflicts…

Artificial Intelligence · Computer Science 2013-02-01 Benson Hin Kwong Ng , Kam-Fai Wong , Boon-Toh Low

The dynamics of belief and knowledge is one of the major components of any autonomous system that should be able to incorporate new pieces of information. We introduced the Horn knowledge base dynamics to deal with two important points:…

Logic in Computer Science · Computer Science 2014-05-23 Radhakrishnan Delhibabu