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Related papers: Fixpoint Semantics for Recursive SHACL

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The Shapes Constraint Language (SHACL) is the recent W3C recommendation language for validating RDF data, by verifying certain shapes on graphs. Previous work has largely focused on the validation problem and the standard decision problems…

Artificial Intelligence · Computer Science 2022-06-16 Paolo Pareti , George Konstantinidis , Fabio Mogavero

We present an introduction and a review of the Shapes Constraint Language (SHACL), the W3C recommendation language for validating RDF data. A SHACL document describes a set of constraints on RDF nodes, and a graph is valid with respect to…

Artificial Intelligence · Computer Science 2021-12-03 Paolo Pareti , George Konstantinidis

The Shapes Constraint Language (SHACL) is a recent W3C recommendation language for validating RDF data. Specifically, SHACL documents are collections of constraints that enforce particular shapes on an RDF graph. Previous work on the topic…

Logic in Computer Science · Computer Science 2020-11-06 Paolo Pareti , George Konstantinidis , Fabio Mogavero , Timothy J. Norman

SHACL is a W3C-proposed language for expressing structural constraints on RDF graphs. In recent years, SHACL's popularity has risen quickly. This rise in popularity comes with questions related to its place in the semantic web, particularly…

Logic in Computer Science · Computer Science 2022-06-29 Bart Bogaerts , Maxime Jakubowski , Jan Van den Bussche

ASHACL, a variant of the W3C Shapes Constraint Language, is designed to determine whether an RDF graph meets some conditions. These conditions are grouped into shapes, which validate whether particular RDF terms each meet the constraints of…

Artificial Intelligence · Computer Science 2017-03-10 Peter F. Patel-Schneider

SHACL (Shapes Constraint Language) expresses constraints on RDF data by means of so-called shapes. Its central service is validation: verifying whether a data graph complies with a SHACL document. But so far, there are no static analysis…

Logic in Computer Science · Computer Science 2026-05-05 Anouk Oudshoorn , Magdalena Ortiz , Mantas Simkus

The Shapes Constraint Language (SHACL) has been recently introduced as a W3C recommendation to define constraints that can be validated against RDF graphs. Interactions of SHACL with other Semantic Web technologies, such as ontologies or…

Artificial Intelligence · Computer Science 2020-08-10 Paolo Pareti , George Konstantinidis , Timothy J. Norman , Murat Şensoy

As schema languages for RDF data become more mature, we are seeing efforts to extend them with recursive semantics, applying diverse ideas from logic programming and description logics. While ShEx has an official recursive semantics based…

An RDF data shape is a description of the expected contents of an RDF document (aka graph) or dataset. A major part of this description is the set of constraints that the document or dataset is required to satisfy. W3C recently (2014)…

Databases · Computer Science 2015-11-03 Arthur Ryman

The Shapes Constraint Language (SHACL) is the W3C Recommendation for validating a single RDF graph. This makes SHACL inadequate for validating data across (named) graphs in an RDF dataset. Existing workarounds, such as graph unions or…

Databases · Computer Science 2026-02-26 Davan Chiem Dao , Christophe Debruyne

Approximation Fixpoint Theory (AFT) is a powerful theory covering various semantics of non-monotonic reasoning formalisms in knowledge representation such as Logic Programming and Answer Set Programming. Many semantics of such non-monotonic…

Artificial Intelligence · Computer Science 2025-06-23 Linde Vanbesien , Bart Bogaerts , Marc Denecker

SHACL is a W3C-proposed schema language for expressing structural constraints on RDF graphs. Recent work on formalizing this language has revealed a striking relationship to description logics. SHACL expressions can use three fundamental…

Logic in Computer Science · Computer Science 2024-08-07 Bart Bogaerts , Maxime Jakubowski , Jan Van den Bussche

Recent studies on the Shapes Constraint Language (SHACL), a W3C specification for validating RDF graphs, rely on translating the language into first-order logic in order to provide formally-grounded solutions to the validation, containment…

Artificial Intelligence · Computer Science 2024-06-13 Paolo Pareti

The Shapes Constraint Language (SHACL) was standardized by the World Wide Web as a constraint language to describe and validate RDF data graphs. SHACL uses the notion of shapes graph to describe a set of shape constraints paired with…

Computational Complexity · Computer Science 2024-08-01 Shqiponja Ahmetaj , Timo Camillo Merkl , Reinhard Pichler

SHACL (SHApe Constraint Language) is a W3C standardized constraint language for RDF graphs. In this paper, we study SHACL validation in RDF graphs under updates. We present a SHACL-based update language that can capture intuitive and…

Artificial Intelligence · Computer Science 2025-08-04 Shqiponja Ahmetaj , George Konstantinidis , Magdalena Ortiz , Paolo Pareti , Mantas Simkus

We propose a stable model semantics for higher-order logic programs. Our semantics is developed using Approximation Fixpoint Theory (AFT), a powerful formalism that has successfully been used to give meaning to diverse non-monotonic…

Logic in Computer Science · Computer Science 2025-01-22 Bart Bogaerts , Angelos Charalambidis , Giannos Chatziagapis , Babis Kostopoulos , Samuele Pollaci , Panos Rondogiannis

In constraint languages for RDF graphs, such as ShEx and SHACL, constraints on nodes and their properties in RDF graphs are known as "shapes". Schemas in these languages list the various shapes that certain targeted nodes must satisfy for…

Databases · Computer Science 2021-12-23 Thomas Delva , Anastasia Dimou , Maxime Jakubowski , Jan Van den Bussche

The Shapes Constraint Language (SHACL) allows for formalizing constraints over RDF data graphs. A shape groups a set of constraints that may be fulfilled by nodes in the RDF graph. We investigate the problem of containment between SHACL…

Logic in Computer Science · Computer Science 2021-04-23 Martin Leinberger , Philipp Seifer , Tjitze Rienstra , Ralf Lämmel , Steffen Staab

SPARQL is the W3C candidate recommendation query language for RDF. In this paper we address systematically the formal study of SPARQL, concentrating in its graph pattern facility. We consider for this study a fragment without literals and a…

Databases · Computer Science 2007-05-23 Jorge Perez , Marcelo Arenas , Claudio Gutierrez

Approximation fixpoint theory (AFT) is an abstract and general algebraic framework for studying the semantics of nonmonotonic logics. It provides a unifying study of the semantics of different formalisms for nonmonotonic reasoning, such as…

Artificial Intelligence · Computer Science 2022-12-02 Jesse Heyninck , Ofer Arieli , Bart Bogaerts
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