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The profusion of knowledge encoded in large language models (LLMs) and their ability to apply this knowledge zero-shot in a range of settings makes them promising candidates for use in decision-making. However, they are currently limited by…

Computation and Language · Computer Science 2026-05-08 Gabriel Freedman , Adam Dejl , Deniz Gorur , Xiang Yin , Antonio Rago , Francesca Toni

We introduce a new symbolic representation based on an original generalization of counter abstraction. Unlike classical counter abstraction (used in the analysis of parameterized systems with unordered or unstructured topologies) the new…

Logic in Computer Science · Computer Science 2015-03-20 Ahmed Rezine

Argumentation is an important topic of AI for modelling and reasoning about arguments. In abstract argumentation, we consider directed graphs, so-called argumentation frameworks (AF), that express conflicts between arguments. The semantics…

Artificial Intelligence · Computer Science 2026-05-14 Johannes K. Fichte , Markus Hecher , Yasir Mahmood , Zhengjun Wang

Abstract argumentation frameworks are formal systems that facilitate obtaining conclusions from non-monotonic knowledge systems. Within such a system, an argumentation semantics is defined as a set of arguments with some desired qualities,…

Artificial Intelligence · Computer Science 2018-08-14 Renata Wong

This paper builds on the recent ASPIC+ formalism, to develop a general framework for argumentation with preferences. We motivate a revised definition of conflict free sets of arguments, adapt ASPIC+ to accommodate a broader range of…

Artificial Intelligence · Computer Science 2018-04-19 Sanjay Modgil , Henry Prakken

In AI research, so far, the attention paid to the characterization and representation of function and affordance has been sporadic and sparse, even though this aspect features prominently in an intelligent system's functioning. In the…

Artificial Intelligence · Computer Science 2022-08-18 Seng-Beng Ho

We define a model of predicate logic in which every term and predicate, open or closed, has an absolute denotation independently of a valuation of the variables. For each variable a, the domain of the model contains an element [[a]] which…

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

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

Arguments are a fundamental aspect of human reasoning, in which claims are supported, challenged, and weighed against one another. We present an end-to-end large language model (LLM)-based system for reconstructing arguments from natural…

Computation and Language · Computer Science 2026-05-20 Paulo Pirozelli , Victor Hugo Nascimento Rocha , Fabio G. Cozman , Douglas Aldred

Generalized planning is about finding plans that solve collections of planning instances, often infinite collections, rather than single instances. Recently it has been shown how to reduce the planning problem for generalized planning to…

Artificial Intelligence · Computer Science 2019-06-03 Blai Bonet , Raquel Fuentetaja , Yolanda E-Martin , Daniel Borrajo

We use the combination of argumentative zoning [1] and a legal argumentative scheme to create legal argumentative segments. Based on the argumentative segmentation, we propose a novel task of classifying argumentative segments of legal case…

Computation and Language · Computer Science 2023-07-12 Huihui Xu , Kevin Ashley

This paper proposes an alternative to standard first-order logic that seeks greater naturalness, generality, and semantic self-containment. The system removes the first-order restriction, avoids type hierarchies, and dispenses with external…

Logic · Mathematics 2025-08-12 Mauro Avon

Argument search aims at identifying arguments in natural language texts. In the past, this task has been addressed by a combination of keyword search and argument identification on the sentence- or document-level. However, existing…

Computation and Language · Computer Science 2021-12-02 Michael Färber , Anna Steyer

Reasoning with defeasible and conflicting knowledge in an argumentative form is a key research field in computational argumentation. Reasoning under various forms of uncertainty is both a key feature and a challenging barrier for automated…

Artificial Intelligence · Computer Science 2024-07-09 Andrei Popescu , Johannes P. Wallner

We present a new approach to termination analysis of logic programs. The essence of the approach is that we make use of general term-orderings (instead of level mappings), like it is done in transformational approaches to logic program…

Programming Languages · Computer Science 2007-05-23 Alexander Serebrenik , Danny De Schreye

Designing scalable estimation algorithms is a core challenge in modern statistics. Here we introduce a framework to address this challenge based on parallel approximants, which yields estimators with provable properties that operate on the…

Methodology · Statistics 2023-08-04 Aritra Chakravorty , William S. Cleveland , Patrick J. Wolfe

Ellipses are a meta-linguistic notation for denoting terms the size of which are specified by a meta-variable that ranges over the natural numbers. In this work, we present a systematic approach for encoding such meta-expressions in the…

Logic in Computer Science · Computer Science 2017-01-11 Mayer Goldberg

We present a method for extracting general modules for ontologies formulated in the description logic ALC. A module for an ontology is an ideally substantially smaller ontology that preserves all entailments for a user-specified set of…

Artificial Intelligence · Computer Science 2023-05-17 Hui Yang , Patrick Koopmann , Yue Ma , Nicole Bidoit

Gradual semantics within abstract argumentation associate a numeric score with every argument in a system, which represents the level of acceptability of this argument, and from which a preference ordering over arguments can be derived.…

Artificial Intelligence · Computer Science 2022-03-03 Nir Oren , Bruno Yun , Assaf Libman , Murilo S. Baptista

In abstract argumentation, multiple argumentation semantics have been proposed that allow to select sets of jointly acceptable arguments from a given argumentation framework, i.e. based only on the attack relation between arguments. The…

Artificial Intelligence · Computer Science 2019-02-28 Marcos Cramer , Mathieu Guillaume