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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

Large Language Models (LLMs) often struggle with hallucinations and outdated information. To address this, Information Retrieval (IR) systems can be employed to augment LLMs with up-to-date knowledge. However, existing IR techniques contain…

Computation and Language · Computer Science 2024-11-26 Danupat Khamnuansin , Tawunrat Chalothorn , Ekapol Chuangsuwanich

A line of work in planning uses LLM not to generate a plan, but to generate a formal representation in some planning language, which can be input into a symbolic solver to deterministically find a plan. While showing improved trust and…

Computation and Language · Computer Science 2025-10-08 Prabhu Prakash Kagitha , Bo Sun , Ishan Desai , Andrew Zhu , Cassie Huang , Manling Li , Ziyang Li , Li Zhang

This paper contains examples for a companion paper "The Prolog Debugger and Declarative Programming", which discusses (in)adequacy of the Prolog debugger for declarative programming. Logic programming is a declarative programming paradigm.…

Programming Languages · Computer Science 2020-04-07 Włodzimierz Drabent

Since the first conference held in Marseille in 1982, ICLP has been the premier international event for presenting research in logic programming. Contributions are sought in all areas of logic programming, including but not restricted to:…

The goal of Inductive Logic Programming (ILP) is to learn a program that explains a set of examples in the context of some pre-existing background knowledge. Until recently, most research on ILP targeted learning Prolog programs. Our own…

Artificial Intelligence · Computer Science 2020-05-05 Mark Law , Alessandra Russo , Krysia Broda

Multiple logic-based reconstructions of conceptual data modelling languages such as EER, UML Class Diagrams, and ORM exist. They mainly cover various fragments of the languages and none are formalised such that the logic applies…

Artificial Intelligence · Computer Science 2019-09-20 Pablo Rubén Fillottrani , C. Maria Keet

DLV2 is an AI tool for Knowledge Representation and Reasoning which supports Answer Set Programming (ASP) - a logic-based declarative formalism, successfully used in both academic and industrial applications. Given a logic program modelling…

Artificial Intelligence · Computer Science 2025-05-28 Francesco Calimeri , Giovambattista Ianni , Francesco Pacenza , Simona Perri , Jessica Zangari

Large language models (LLMs) sometimes demonstrate poor performance on knowledge-intensive tasks, commonsense reasoning is one of them. Researchers typically address these issues by retrieving related knowledge from knowledge graphs or…

Computation and Language · Computer Science 2024-10-15 Jiachun Li , Pengfei Cao , Chenhao Wang , Zhuoran Jin , Yubo Chen , Kang Liu , Xiaojian Jiang , Jiexin Xu , Jun Zhao

Several formal systems, such as resolution and minimal model semantics, provide a framework for logic programming. In this paper, we will survey the use of structural proof theory as an alternative foundation. Researchers have been using…

Logic in Computer Science · Computer Science 2021-11-02 Dale Miller

A logic programming paradigm which expresses solutions to problems as stable models has recently been promoted as a declarative approach to solving various combinatorial and search problems, including planning problems. In this paradigm,…

Artificial Intelligence · Computer Science 2007-05-23 Maurice Bruynooghe

This work focuses on the application of intensional logic to cyberforensic analysis and its benefits and difficulties are compared with the finite-state-automata approach. This work extends the use of the intensional programming paradigm to…

Cryptography and Security · Computer Science 2014-03-10 Serguei A. Mokhov

Formal transformations somehow resembling the usual derivative are surprisingly common in computer science, with two notable examples being derivatives of regular expressions and derivatives of types. A newcomer to this list is the…

Programming Languages · Computer Science 2016-11-11 Robert Kelly , Barak A. Pearlmutter , Jeffrey Mark Siskind

The syntactic nature of logic and computation separates them from other fields of mathematics. Nevertheless, syntax has been the only way to adequately capture the dynamics of proofs and programs such as cut-elimination, and the finiteness…

Logic · Mathematics 2023-06-14 Norihiro Yamada

Large Language Models (LLMs) have helped programmers increase efficiency through code generation, comprehension, and repair. However, their application to large-scale projects remains challenging due to complex interdependencies and the…

Software Engineering · Computer Science 2025-02-26 Wuyang Zhang , Yansong Li , Zeyu Dong , Yu Wu , Yingyao Zhou , Duolei Wang , Songsirou Xing , Chichun Zhou , Da Shen

A fundamental task for propositional logic is to compute models of propositional formulas. Programs developed for this task are called satisfiability solvers. We show that transition systems introduced by Nieuwenhuis, Oliveras, and Tinelli…

Artificial Intelligence · Computer Science 2014-10-08 Yuliya Lierler , Miroslaw Truszczynski

Knowledge Representation and Reasoning and Machine Learning are two important fields in AI. Nonmonotonic logic programming (NMLP) and Answer Set Programming (ASP) provide formal languages for representing and reasoning with commonsense…

Artificial Intelligence · Computer Science 2013-11-20 Katsumi Inoue , Chiaki Sakama

Given a set of hand-crafted local features, acquiring a global representation via aggregation is a promising technique to boost computational efficiency and improve task performance. Existing feature aggregation (FA) approaches, including…

Computer Vision and Pattern Recognition · Computer Science 2019-10-25 Xingxing Zhang , Zhenfeng Zhu , Yao Zhao

Based on an analysis of the inference rules used, we provide a characterization of the situations in which classical provability entails intuitionistic provability. We then examine the relationship of these derivability notions to uniform…

Logic in Computer Science · Computer Science 2016-08-31 Gopalan Nadathur

Deep learning models are widely used for various industrial and scientific applications. Even though these models have achieved considerable success in recent years, there exists a lack of understanding of the rationale behind decisions…

Machine Learning · Computer Science 2020-07-08 Swapnil Nitin Shah