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We develop an axiomatic framework for fractal analysis and fractal number theory grounded in hierarchies of definability. Central to this approach is a sequence of formal systems F_n, each corresponding to a definability level S_n contained…

General Mathematics · Mathematics 2025-05-28 Stanislav Semenov

We consider the problem of automatically verifying programs which manipulate arbitrary data structures. Our specification language is expressive, contains a notion of \emph{separation}, and thus enables a precise specification of…

Programming Languages · Computer Science 2017-11-16 Duc-Hiep Chu , Joxan Jaffar

Estimating causal quantities traditionally relies on bespoke estimators tailored to specific assumptions. Recently proposed Causal Foundation Models (CFMs) promise a more unified approach by amortising causal discovery and inference in a…

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

Large-scale knowledge graphs are increasingly common in many domains. Their large sizes often exceed the limits of systems storing the graphs in a centralized data store, especially if placed in main memory. To overcome this, large…

Databases · Computer Science 2022-03-29 Amitabh Priyadarshi , Krzysztof J. Kochut

Graph Retrieval Augmented Generation (GraphRAG) has garnered increasing recognition for its potential to enhance large language models (LLMs) by structurally organizing domain-specific corpora and facilitating complex reasoning. However,…

Computation and Language · Computer Science 2025-06-23 Yilin Xiao , Junnan Dong , Chuang Zhou , Su Dong , Qian-wen Zhang , Di Yin , Xing Sun , Xiao Huang

We present an agentic, autonomous graph expansion framework that iteratively structures and refines knowledge in situ. Unlike conventional knowledge graph construction methods relying on static extraction or single-pass learning, our…

Artificial Intelligence · Computer Science 2025-02-19 Markus J. Buehler

We expect an increase in the frequency and severity of cyber-attacks that comes along with the need for efficient security countermeasures. The process of attributing a cyber-attack helps to construct efficient and targeted mitigating and…

Cryptography and Security · Computer Science 2020-01-22 Erisa Karafili , Linna Wang , Emil C. Lupu

This paper addresses the problems of missing reasoning chains and insufficient entity-level semantic understanding in large language models when dealing with tasks that require structured knowledge. It proposes a fine-tuning algorithm…

Computation and Language · Computer Science 2025-08-21 Wuyang Zhang , Yexin Tian , Xiandong Meng , Mengjie Wang , Junliang Du

Despite initial successes and a variety of architectures, retrieval-augmented generation systems still struggle to reliably retrieve and connect the multi-step evidence required for complicated reasoning tasks. Most of the standard RAG…

Artificial Intelligence · Computer Science 2026-05-26 Jovan Pavlović , Miklós Krész , László Hajdu

Abstract argumentation has emerged as a method for non-monotonic reasoning that has gained popularity in the symbolic artificial intelligence community. In the literature, the different approaches to abstract argumentation that were refined…

Artificial Intelligence · Computer Science 2021-01-11 Timotheus Kampik , Juan Carlos Nieves

The logic underlying the Abella proof assistant includes mechanisms for interpreting atomic predicates through fixed point definitions that can additionally be treated inductively or co-inductively. However, the original formulation of the…

Logic in Computer Science · Computer Science 2025-10-15 Nathan Guermond , Gopalan Nadathur

This paper presents a pilot study aimed at introducing multi-agent debate into multimodal reasoning. The study addresses two key challenges: the trivialization of opinions resulting from excessive summarization and the diversion of focus…

Artificial Intelligence · Computer Science 2024-08-07 Changmeng Zheng , Dayong Liang , Wengyu Zhang , Xiao-Yong Wei , Tat-Seng Chua , Qing Li

This paper introduces epistemic graphs as a generalization of the epistemic approach to probabilistic argumentation. In these graphs, an argument can be believed or disbelieved up to a given degree, thus providing a more fine--grained…

Artificial Intelligence · Computer Science 2020-01-15 Anthony Hunter , Sylwia Polberg , Matthias Thimm

Splitting a logic program allows us to reduce the task of computing its stable models to similar tasks for its subprograms. This can be used to increase solving performance and prove program correctness. We generalize the conditions under…

Artificial Intelligence · Computer Science 2025-03-30 Jorge Fandinno , Yuliya Lierler

Human agents routinely reason on instances with incomplete and muddied data (and weigh the cost of obtaining further features). In contrast, much of ML is devoted to the unrealistic, sterile environment where all features are observed and…

Machine Learning · Computer Science 2024-10-08 Yang Li , Junier Oliva

Answer Set Programming (ASP) emerged in the late 1990ies as a paradigm for Knowledge Representation and Reasoning. The attractiveness of ASP builds on an expressive high-level modeling language along with the availability of powerful…

Artificial Intelligence · Computer Science 2021-09-20 Mario Alviano , Wolfgang Faber , Martin Gebser

In dialogical argumentation it is often assumed that the involved parties always correctly identify the intended statements posited by each other, realize all of the associated relations, conform to the three acceptability states (accepted,…

Artificial Intelligence · Computer Science 2017-12-11 Sylwia Polberg , Anthony Hunter

Humans are capable of abstracting away irrelevant details when studying problems. This is especially noticeable for problems over grid-cells, as humans are able to disregard certain parts of the grid and focus on the key elements important…

Artificial Intelligence · Computer Science 2019-09-12 Thomas Eiter , Zeynep G. Saribatur , Peter Schüller

Computational argumentation offers formal frameworks for transparent, verifiable reasoning but has traditionally been limited by its reliance on domain-specific information and extensive feature engineering. In contrast, LLMs excel at…

Artificial Intelligence · Computer Science 2026-03-18 Stylianos Loukas Vasileiou , Antonio Rago , Francesca Toni , William Yeoh