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Argument Mining(AM) aims to uncover the argumentative structures within a text. Previous methods require several subtasks, such as span identification, component classification, and relation classification. Consequently, these methods need…

Computation and Language · Computer Science 2026-03-26 Masayuki Kawarada , Tsutomu Hirao , Wataru Uchida , Masaaki Nagata

We study invariant local expansion operators for conflict-free and admissible sets in Abstract Argumentation Frameworks (AFs). Such operators are directly applied on AFs, and are invariant with respect to a chosen "semantics" (that is…

Artificial Intelligence · Computer Science 2018-08-01 Stefano Bistarelli , Francesco Santini , Carlo Taticchi

In this paper, we aim to establish a simple, effective, and theoretically grounded benchmark for rigorously probing abstract reasoning in Large Language Models (LLMs). To achieve this, we first develop a mathematic framework that defines…

Computation and Language · Computer Science 2025-06-02 Qingchuan Ma , Yuhang Wu , Xiawu Zheng , Rongrong Ji

Local explanation methods highlight the input tokens that have a considerable impact on the outcome of classifying the document at hand. For example, the Anchor algorithm applies a statistical analysis of the sensitivity of the classifier…

Machine Learning · Computer Science 2024-01-15 Alon Mor , Yonatan Belinkov , Benny Kimelfeld

We study the logic obtained by endowing the language of first-order arithmetic with second-order measure quantifiers. This new kind of quantification allows us to express that the argument formula is true in a certain portion of all…

Logic in Computer Science · Computer Science 2021-04-27 Melissa Antonelli , Ugo Dal Lago , Paolo Pistone

In this paper, we consider counting and projected model counting of extensions in abstract argumentation for various semantics. When asking for projected counts we are interested in counting the number of extensions of a given argumentation…

Artificial Intelligence · Computer Science 2018-11-29 Johannes K. Fichte , Markus Hecher , Arne Meier

We prove a new upper bound on the generalization gap of classifiers that are obtained by first using self-supervision to learn a representation $r$ of the training data, and then fitting a simple (e.g., linear) classifier $g$ to the labels.…

Machine Learning · Computer Science 2020-10-19 Yamini Bansal , Gal Kaplun , Boaz Barak

The Abstraction and Reasoning Corpus (ARC) provides a compact laboratory for studying abstract reasoning, an ability central to human intelligence. Modern AI systems, including LLMs and ViTs, largely operate as sequence-of-behavior…

Artificial Intelligence · Computer Science 2026-01-21 Zhiguang Liu , Yi Shang

This paper proposes new derivations of three well-known sorting algorithms, in their functional formulation. The approach we use is based on three main ingredients: first, the algorithms are derived from a simpler algorithm, i.e. the…

Data Structures and Algorithms · Computer Science 2008-02-27 José Bacelar Almeida , Jorge Sousa Pinto

Equitability is a fundamental notion in fair division which requires that all agents derive equal value from their allocated bundles. We study, for general (possibly non-monotone) valuations, a popular relaxation of equitability known as…

Computer Science and Game Theory · Computer Science 2025-11-11 Hadi Hosseini , Vishwa Prakash HV , Aditi Sethia , Jatin Yadav

Among the most general structures extending the framework by Dung are the abstract dialectical frameworks (ADFs). They come equipped with various types of semantics, with the most prominent - the labeling-based one - analyzed in the context…

Artificial Intelligence · Computer Science 2016-07-05 Sylwia Polberg

Writers generally rely on plans or sketches to write long stories, but most current language models generate word by word from left to right. We explore coarse-to-fine models for creating narrative texts of several hundred words, and…

Computation and Language · Computer Science 2019-06-18 Angela Fan , Mike Lewis , Yann Dauphin

Call a semantics for a language with variables absolute when variables map to fixed entities in the denotation. That is, a semantics is absolute when the denotation of a variable a is a copy of itself in the denotation. We give a trio of…

Logic in Computer Science · Computer Science 2026-04-20 Murdoch J. Gabbay

We study a general aggregation problem in which a society has to determine its position on each of several issues, based on the positions of the members of the society on those issues. There is a prescribed set of feasible evaluations,…

Computer Science and Game Theory · Computer Science 2015-03-20 Elad Dokow , Dvir Falik

In a compiler, an essential component is the register allocator. Two main algorithms have dominated implementations, graph coloring and linear scan, differing in how live values are modeled. Graph coloring uses an edge in an `interference…

Programming Languages · Computer Science 2020-11-12 Ian Rogers

We consider the problem of modularizing control flow in a generic abstract interpretation framework. A generic abstract interpretation framework is not truly flexible if it does not allow interpreting with different path- and…

Programming Languages · Computer Science 2026-02-19 Cade Lueker , Andrew Fox , Bor-Yuh Evan Chang

Large language models (LLMs) exhibit strong general capabilities, but their deployment in high-stakes domains is hindered by their opacity and unpredictability. Recent work has taken meaningful steps towards addressing these issues by…

Artificial Intelligence · Computer Science 2026-05-05 Adam Dejl , Matthew Williams , Francesca Toni

We introduce a way to represent word pairs instantiating arbitrary semantic relations that keeps track of the contexts in which the words in the pair occur both together and independently. The resulting features are of sufficient generality…

Computation and Language · Computer Science 2009-02-16 Amaç Herdağdelen , Marco Baroni

By limiting the range of the predicate variables in a second-order language one may obtain restricted versions of second-order logic such as weak second-order logic or definable subset logic. In this note we provide an infinitary strongly…

Logic · Mathematics 2023-07-11 Guillermo Badia , John Lane Bell

With the growing complexity of deep learning methods adopted in practical applications, there is an increasing and stringent need to explain and interpret the decisions of such methods. In this work, we focus on explainable AI and propose a…

Machine Learning · Computer Science 2020-08-05 Antonio Barbalau , Adrian Cosma , Radu Tudor Ionescu , Marius Popescu