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This paper describes the first-order logical environment FOLE. Institutions in general, and logical environments in particular, give equivalent heterogeneous and homogeneous representations for logical systems. As such, they offer a…

Logic in Computer Science · Computer Science 2013-05-23 Robert E. Kent

A central concept within informatics is in modelling such systems for the purpose of reasoning (perhaps automated) about their behaviour and properties. To this end, one requires an interpretation of logical formulae in terms of the…

Logic in Computer Science · Computer Science 2024-05-13 Alexander V. Gheorghiu , Tao Gu , David J. Pym

We consider the setting of a Semantic Web database, containing both explicit data encoded in RDF triples, and implicit data, implied by the RDF semantics. Based on a query workload, we address the problem of selecting a set of views to be…

Databases · Computer Science 2011-11-01 François Goasdoué , Konstantinos Karanasos , Julien Leblay , Ioana Manolescu

Defeasible rules are used in providing computable representations of legal documents and, more recently, have been suggested as a basis for explainable AI. Such applications draw attention to the scalability of implementations. The…

Artificial Intelligence · Computer Science 2021-08-12 Michael J. Maher

Functional logic languages are a high-level approach to programming by combining the most important declarative features. They abstract from small-step operational details so that programmers can concentrate on the logical aspects of an…

Programming Languages · Computer Science 2026-05-01 Michael Hanus , Kai-Oliver Prott , Finn Teegen

Ontologies are used in various domains, with RDF and OWL being prominent standards for ontology development. RDF is favored for its simplicity and flexibility, while OWL enables detailed domain knowledge representation. However, as…

Artificial Intelligence · Computer Science 2023-08-10 Gunjan Singh , Sumit Bhatia , Raghava Mutharaju

Where Prolog is commonly seen as a component in a Web application that is either embedded or communicates using a proprietary protocol, we propose an architecture where Prolog communicates to other components in a Web application using the…

Programming Languages · Computer Science 2007-11-07 Jan Wielemaker , Zhisheng Huang , Lourens van der Meij

Reasoning is a fundamental problem for computers and deeply studied in Artificial Intelligence. In this paper, we specifically focus on answering multi-hop logical queries on Knowledge Graphs (KGs). This is a complicated task because, in…

Artificial Intelligence · Computer Science 2022-09-30 Alfonso Amayuelas , Shuai Zhang , Susie Xi Rao , Ce Zhang

The unique capabilities of Large Language Models (LLMs), such as the natural language text generation ability, position them as strong candidates for providing explanation for recommendations. However, despite the size of the LLM, most…

Artificial Intelligence · Computer Science 2024-01-19 Behnam Rahdari , Hao Ding , Ziwei Fan , Yifei Ma , Zhuotong Chen , Anoop Deoras , Branislav Kveton

Enterprise information systems have adopted Web-based foundations for exchanges between heterogeneous programmes. These programs provide and consume via Web APIs some resources identified by URIs, whose representations are transmitted via…

Artificial Intelligence · Computer Science 2020-07-28 Mathieu Lirzin , Béatrice Markhoff

Programming with logic for sophisticated applications must deal with recursion and negation, which together have created significant challenges in logic, leading to many different, conflicting semantics of rules. This paper describes a…

Logic in Computer Science · Computer Science 2021-10-07 Yanhong A. Liu , Scott D. Stoller

The disruptive potential of the upcoming digital transformations for the industrial manufacturing domain have led to several reference frameworks and numerous standardization approaches. On the other hand, the Semantic Web community has…

Artificial Intelligence · Computer Science 2019-09-04 Sebastian R. Bader , Maria Maleshkova

The Web of Linked Data is composed of tons of RDF documents interlinked to each other forming a huge repository of distributed semantic data. Effectively querying this distributed data source is an important open problem in the Semantic Web…

Databases · Computer Science 2015-07-21 Olaf Hartig , Jorge Pérez

In high-stakes domains such as healthcare and finance, effective decision-making demands not just accurate outcomes but transparent and explainable reasoning. However, current language models often lack the structured deliberation needed…

Computation and Language · Computer Science 2025-08-26 Xiusi Chen , Shanyong Wang , Cheng Qian , Hongru Wang , Peixuan Han , Heng Ji

The importance of transformations and normal forms in logic programming, and generally in computer science, is well documented. This paper investigates transformations and normal forms in the context of Defeasible Logic, a simple but…

Logic in Computer Science · Computer Science 2021-02-16 G. Antoniou , D. Billington , G. Governatori , M. J. Maher

A huge amount of information is produced in digital form. The Semantic Web stems from the realisation that dealing efficiently with this production requires getting better at interlinking digital informational resources together. Its focus…

Digital Libraries · Computer Science 2023-09-20 Mathilde Noual

These days, vast amounts of knowledge are available online, most of it in written form. Search engines help us access this knowledge, but aggregating, relating and reasoning with it is still a predominantly human effort. One of the key…

Computation and Language · Computer Science 2019-10-25 Michael Kohlhase , Jan Frederik Schaefer

We present the Flow-Limited Authorization First-Order Logic (FLAFOL), a logic for reasoning about authorization decisions in the presence of information-flow policies. We formalize the FLAFOL proof system, characterize its proof-theoretic…

Cryptography and Security · Computer Science 2020-12-11 Andrew K. Hirsch , Pedro H. Azevedo de Amorim , Ethan Cecchetti , Ross Tate , Owen Arden

Negation is both an operation in formal logic and in natural language by which a proposition is replaced by one stating the opposite, as by the addition of "not" or another negation cue. Treating negation in an adequate way is required for…

Computation and Language · Computer Science 2021-10-14 Claudia Schon , Sophie Siebert , Frieder Stolzenburg

Transformers have been shown to be able to perform deductive reasoning on a logical rulebase containing rules and statements written in natural language. Recent works show that such models can also produce the reasoning steps (i.e., the…

Computation and Language · Computer Science 2022-03-22 Soumya Sanyal , Harman Singh , Xiang Ren
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