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In this paper we develop an axiomatic setup for algorithmic homological algebra of Abelian categories. This is done by exhibiting all existential quantifiers entering the definition of an Abelian category, which for the sake of…

Commutative Algebra · Mathematics 2017-10-27 Mohamed Barakat , Markus Lange-Hegermann

Powerful formalisms for abstract argumentation have been proposed, among them abstract dialectical frameworks (ADFs) that allow for a succinct and flexible specification of the relationship between arguments, and the GRAPPA framework which…

Artificial Intelligence · Computer Science 2020-04-22 Gerhard Brewka , Martin Diller , Georg Heissenberger , Thomas Linsbichler , Stefan Woltran

Domain-general model-based planners often derive their generality by constructing search heuristics through the relaxation or abstraction of symbolic world models. We illustrate how abstract interpretation can serve as a unifying framework…

Artificial Intelligence · Computer Science 2022-08-08 Tan Zhi-Xuan , Joshua B. Tenenbaum , Vikash K. Mansinghka

In this paper, we address the problem of change in an abstract argumentation system. We focus on a particular change: the addition of a new argument which interacts with previous arguments. We study the impact of such an addition on the…

Artificial Intelligence · Computer Science 2014-01-17 Claudette Cayrol , Florence Dupin de Saint-Cyr , Marie-Christine Lagasquie-Schiex

Argumentation Frameworks (AFs) are a key formalism in AI research. Their semantics have been investigated in terms of principles, which define characteristic properties in order to deliver guidance for analysing established and developing…

Artificial Intelligence · Computer Science 2022-05-09 Wolfgang Dvořák , Matthias König , Markus Ulbricht , Stefan Woltran

Various structured argumentation frameworks utilize preferences as part of their standard inference procedure to enable reasoning with preferences. In this paper, we consider an inverse of the standard reasoning problem, seeking to identify…

Artificial Intelligence · Computer Science 2020-05-13 Quratul-ain Mahesar , Nir Oren , Wamberto W. Vasconcelos

This paper develops new combinatorial approaches to analyze and compute special set partitions, called complementary set partitions, which are fundamental in the study of generalized cumulants. Moving away from traditional graph-based and…

Statistics Theory · Mathematics 2025-05-20 Elvira Di Nardo , Giuseppe Guarino

For a terminal alphabet $\Sigma$ and an attribute alphabet $\Gamma$, a $(\Sigma, \Gamma)$-extractor is a function that maps every string over $\Sigma$ to a table with a column per attribute and with sets of positions of $w$ as cell entries.…

Formal Languages and Automata Theory · Computer Science 2026-03-18 Markus L. Schmid

Factorization-based models have gained popularity since the Netflix challenge {(2007)}. Since that, various factorization-based models have been developed and these models have been proven to be efficient in predicting users' ratings…

Artificial Intelligence · Computer Science 2024-05-15 Jinfeng Zhong , Elsa Negre

We propose a hierarchical abstract domain for the analysis of free-list memory allocators that tracks shape and numerical properties about both the heap and the free lists. Our domain is based on Separation Logic extended with predicates…

Programming Languages · Computer Science 2016-08-22 Bin Fang , Mihaela Sighireanu

Weighted bipolar argumentation frameworks allow modeling decision problems and online discussions by defining arguments and their relationships. The strength of arguments can be computed based on an initial weight and the strength of…

Artificial Intelligence · Computer Science 2018-12-03 Nico Potyka

The AMR (Abstract Meaning Representation) formalism for representing meaning of natural language sentences was not designed to deal with scope and quantifiers. By extending AMR with indices for contexts and formulating constraints on these…

Computation and Language · Computer Science 2020-10-28 Johan Bos

The design and implementation of precise static analyzers for significant fragments of modern imperative languages like C, C++, Java and Python is a challenging problem. In this paper, we consider a core imperative language that has several…

Programming Languages · Computer Science 2007-06-28 Roberto Bagnara , Patricia M. Hill , Andrea Pescetti , Enea Zaffanella

There is a generic way to add any new feature to a system. It involves 1) identifying the basic units which build up the system and 2) introducing the new feature to each of these basic units. In the case where the system is argumentation…

Artificial Intelligence · Computer Science 2015-03-19 D. M. Gabbay , O. Rodrigues

This technical report presents a general framework for parsing a variety of grammar formalisms. We develop a grammar formalism, called an Abstract Grammar, which is general enough to represent grammars at many levels of the hierarchy,…

Computation and Language · Computer Science 2018-01-22 Daniel Harasim , Chris Bruno , Eva Portelance , Martin Rohrmeier , Timothy J. O'Donnell

Qualitative reasoning involves expressing and deriving knowledge based on qualitative terms such as natural language expressions, rather than strict mathematical quantities. Well over 40 qualitative calculi have been proposed so far, mostly…

Artificial Intelligence · Computer Science 2025-12-17 George Baryannis , Ilias Tachmazidis , Sotiris Batsakis , Grigoris Antoniou , Mario Alviano , Emmanuel Papadakis

In this work, which is done in the context of a (moded) logic programming language, we devise a data-flow analysis dedicated to computing what we call argument profiles. Such a profile essentially describes, for each argument of a…

Logic in Computer Science · Computer Science 2023-08-31 Gonzague Yernaux , Wim Vanhoof

The inclusion of universal quantification and a form of implication in goals in logic programming is considered. These additions provide a logical basis for scoping but they also raise new implementation problems. When universal and…

Programming Languages · Computer Science 2007-05-23 Gopalan Nadathur , Bharat Jayaraman , Keehang Kwon

In the last years, there has been an increasing demand of a variety of logical systems, prompted mostly by applications of logic in AI and other related areas. Labeled Deductive Systems (LDS) were developed as a flexible methodology to…

Artificial Intelligence · Computer Science 2007-05-23 Carlos Iván Chesñevar , Guillermo Ricardo Simari

Active Learning (AL) has garnered significant interest across various application domains where labeling training data is costly. AL provides a framework that helps practitioners query informative samples for annotation by oracles…

Machine Learning · Computer Science 2025-12-16 Pouya Ahadi , Blair Winograd , Camille Zaug , Karunesh Arora , Lijun Wang , Kamran Paynabar
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