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This is the full version of a paper submitted to the Computability in Europe (CiE 2023) conference, with all proofs omitted there. In 2012 P. D. Azar and S. Micali introduced a new model of interactive proofs, called "Rational Interactive…

Computational Complexity · Computer Science 2023-05-09 Daniil Musatov , Georgii Potapov

Advances in the general capabilities of large language models (LLMs) have led to their use for information retrieval, and as components in automated decision systems. A faithful representation of probabilistic reasoning in these models may…

Artificial Intelligence · Computer Science 2025-04-21 Gabriel Freedman , Francesca Toni

In Dung-style abstract argumentation, various semantics capture notions of acceptability of arguments. The admissibility semantics capture the notion that an argument can be consistently defended from any potential counterargument. Weak…

Artificial Intelligence · Computer Science 2026-05-05 Uri Andrews , Luca San Mauro , John Spoerl

Given the large variety of existing logical formalisms it is of utmost importance to select the most adequate one for a specific purpose, e.g. for representing the knowledge relevant for a particular application or for using the formalism…

Artificial Intelligence · Computer Science 2020-03-04 Ringo Baumann

Presenting high-level arguments is a crucial task for fostering participation in online societal discussions. Current argument summarization approaches miss an important facet of this task -- capturing diversity -- which is important for…

Computation and Language · Computer Science 2024-02-15 Michiel van der Meer , Piek Vossen , Catholijn M. Jonker , Pradeep K. Murukannaiah

Description Logics (DLs) are a family of knowledge representation formalisms mainly characterised by constructors to build complex concepts and roles from atomic ones. Expressive role constructors are important in many applications, but can…

Logic in Computer Science · Computer Science 2007-05-23 Ian Horrocks , Ulrike Sattler , Stephan Tobies

Rather than discussing the isolated merits of a nominative theory of uncertainty, this paper focuses on a class of problems, referred to as Dynamic Classification Problem (DCP), which requires the integration of many theories, including a…

Artificial Intelligence · Computer Science 2013-04-08 Piero P. Bonissone

Over the recent twenty years, argumentation has received considerable attention in the fields of knowledge representation, reasoning, and multi-agent systems. However, argumentation in dynamic multi-agent systems encounters the problem of…

Artificial Intelligence · Computer Science 2022-11-30 Minal Suresh Patil

The Large language models (LLMs) have showcased superior capabilities in sophisticated tasks across various domains, stemming from basic question-answer (QA), they are nowadays used as decision assistants or explainers for unfamiliar…

Computation and Language · Computer Science 2024-07-09 Longchao Da , Tiejin Chen , Lu Cheng , Hua Wei

We introduce a model for collaborative text aggregation in which an agent community coauthors a document, modeled as an unordered collection of paragraphs, using a dynamic mechanism: agents propose paragraphs and vote on those suggested by…

Computer Science and Game Theory · Computer Science 2025-08-27 Avital Finanser , Nimrod Talmon

Difference Logic (DL) is a fragment of linear arithmetics where atoms are constraints x+k <= y for variables x,y (ranging over Q or Z) and integer k. We study the complexity of deciding the truth of existential DL sentences. This problem…

Data Structures and Algorithms · Computer Science 2024-02-06 Konrad K. Dabrowski , Peter Jonsson , Sebastian Ordyniak , George Osipov

In recent years, large language models (LLMs) have made significant advancements in developing human-like and engaging dialogue systems. However, in tasks such as consensus-building and persuasion, LLMs often struggle to resolve conflicts…

Artificial Intelligence · Computer Science 2025-11-14 Zhaoqun Li , Xiaotong Fang , Chen Chen , Mengze Li , Beishui Liao

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

Abstract Dialectical Frameworks (ADFs) are argumentation frameworks where each node is associated with an acceptance condition. This allows us to model different types of dependencies as supports and attacks. Previous studies provided a…

Artificial Intelligence · Computer Science 2019-07-24 João Alcântara , Samy Sá , Juan Acosta-Guadarrama

Recent advances of powerful Language Models have allowed Natural Language Generation (NLG) to emerge as an important technology that can not only perform traditional tasks like summarisation or translation, but also serve as a natural…

Computation and Language · Computer Science 2023-07-31 Joris Baan , Nico Daheim , Evgenia Ilia , Dennis Ulmer , Haau-Sing Li , Raquel Fernández , Barbara Plank , Rico Sennrich , Chrysoula Zerva , Wilker Aziz

The problem of explaining inconsistency-tolerant reasoning in knowledge bases (KBs) is a prominent topic in Artificial Intelligence (AI). While there is some work on this problem, the explanations provided by existing approaches often lack…

Artificial Intelligence · Computer Science 2025-02-18 Loan Ho , Stefan Schlobach

Some of the major limitations identified in the areas of argument mining, argument generation, and natural language argument analysis are related to the complexity of annotating argumentatively rich data, the limited size of these corpora,…

Computation and Language · Computer Science 2024-02-23 Ramon Ruiz-Dolz , Joaquin Taverner , John Lawrence , Chris Reed

Social norms are powerful formalism in coordinating autonomous agents' behaviour to achieve certain objectives. In this paper, we propose a dynamic normative system to enable the reasoning of the changes of norms under different…

Artificial Intelligence · Computer Science 2016-04-19 Xiaowei Huang , Ji Ruan , Qingliang Chen , Kaile Su

A main goal of Argument Mining (AM) is to analyze an author's stance. Unlike previous AM datasets focusing only on text, the shared task at the 10th Workshop on Argument Mining introduces a dataset including both text and images.…

Artificial Intelligence · Computer Science 2023-10-11 Qing Zong , Zhaowei Wang , Baixuan Xu , Tianshi Zheng , Haochen Shi , Weiqi Wang , Yangqiu Song , Ginny Y. Wong , Simon See

For argumentation mining, there are several sub-tasks such as argumentation component type classification, relation classification. Existing research tends to solve such sub-tasks separately, but ignore the close relation between them. In…

Computation and Language · Computer Science 2017-01-20 Zhongyu Wei , Chen Li , Yang Liu