Web Reasoning and Rule Systems
Web Reasoning and Rule Systems
This book is the refereed proceedings of the 5th International Conference on Web Reasoning and Rule Systems, RR 2011, held in Galway, Ireland, in August 2011. This book is the refereed proceedings of the 5th International Conference on Web Reasoning and Rule Systems, RR 2011, held in Galway, Ireland, in August 2011, and contains 13 full papers, 12 short papers and 2 invited talks. The papers cover current topics in the Semantic Web, the interaction between well established web languages such as RDF and OWL and classical reasoning approaches, reasoning languages, querying and optimisation, rules and ontologies.
contents
Exchanging More Than Complete Data
In traditional data exchange settings, source instances are restricted to be complete in the sense that all facts are either true or false in these instances. While natural in a typical database transformation scenario, this restriction is increasingly becoming an obstacle for the development of a wide range of applications that need to exchange objects that allow multiple interpretations. In particular, it is motivated by two specific applications that go beyond the usual data exchange scenarios: exchange of incomplete information and exchange of knowledge bases.
In this talk, we propose a general framework for data exchange that can address these two applications. Specifically, we address the problem of exchanging information given by a representation system, which is a finite description of a complete instance, and demonstrate the robustness of our proposal by applying it to the problem of exchanging incomplete information and knowledge bases.
Paraconsistent Semantics for Hybrid MKNF Knowledge Bases
Hybrid MKNF knowledge bases were originally based on stable model semantics, a mature method that combines rules and descriptive logic (DL). Grounded semantics have been proposed for such knowledge bases to improve the efficiency of reasoning. However, the integration of rules and DLs can lead to inconsistencies, even if they are consistent with each other. Therefore, conventional reasoning systems based on the two semantics will break down. In this paper, we employ the four-valued logic proposed by Belnap and present a parallel consistent semantics that can detect and effectively handle inconsistencies for hybrid MKNF knowledge bases. We also show that our proposed semantics can be transformed into stable model semantics via linear transformation operators and that the data complexity in our paradigm is no higher than in classical reasoning. Furthermore, we provide a fixpoint algorithm for computing paraconsistent MKNF models.
This paper introduces a new incremental algorithm for computing changes of materialised views in logical databases, such as those used in rule-based reasoners. Such reasoners have to deal with the problem of changing axioms in the presence of materialising derived atoms. Existing approaches have drawbacks: some need to generate and evaluate large transformed programmes that are Datalog¬ whereas the source programme is Datalog¬, and others recalculate the entire extension, even if only a small part of the predicate extension is affected by the change There are. The method presented in this paper overcomes both of these drawbacks.
Reasoning with Actions in Transaction Logic
This paper introduces TR PAD (Transaction Logic with Partially Defined Actions) – an expressive formalism for reasoning about the effects of combined actions – TR PAD is based on a subset of Transaction Logic but extended with special premise formulae that generalise the data and transition formulae of the original Transaction Logic. We develop a sound and complete proof theory for TR PAD and illustrate its formalism with many non-trivial examples. Furthermore, we show that a large part of TR PAD is reducible to ordinary logic programming and that this reduction is sound and complete.
An Ontological Approach for Modeling Technical Standards for Compliance Checking
This paper outlines a formal semantic-based approach to modelling several regulations in the photovoltaic sector to support the implementation of technical assessments at the French Centre for Science of the Building Industry (CSTB). Starting from the text of the regulations, we first specify the SBVR rules and then formalise them into ontology-based rules in the SPARQL language. These are used for modelling the compliance checking process required to carry out the technical assessment.
RDF Semantics for Web Association Rules
We present a lexical extension to RDFS that allows assertions on the rules that hold for associations between sets of RDFS classes, interacting with class subassumptions and instance typing, and a language extension that appropriately captures the meaning typically given to association rules with context, support and confidence statements with real-world semantics. Furthermore, it presents a sound and complete procedure for the association rule inclusion problem.
Root Justifications for Ontology Repair
An ontology (also called a glossary or knowledge base) is an entity used to represent a domain (field of knowledge). Typically, ontology components include categories (concepts), relations (roles) and objects (individuals).
Description Logic (DL) is a class of knowledge representation languages suitable for formalising and reasoning about ontologies [1]. The reasoning process is performed by a selected DL reasoner. We do not provide a comprehensive introduction to DLs, but refer the reader to the book by Baader et al [1].
ELOG: A Probabilistic Reasoner for OWL EL
Log-linear descriptive logic is a probabilistic logic that combines several concepts and methods from the fields of knowledge representation and inference and statistical relational AI. We describe in detail the implementation of the log-linear reasoner ELOG. The reasoner employs database techniques to dynamically transform the inference problem into an integer linear programme (ILP); to reduce the size and complexity of the ILP, a form of truncated planar reasoning is employed during inference.
Combining Production Systems and Ontologies
Production systems are an established paradigm in knowledge representation and ontologies are widely used to model and reason about application domains. Description logics are the basis of, for example, the web ontology language OWL, which is a well-studied formalism for representing ontologies. In this study, production systems (ps) and description logics (dl) are combined to enable ontology languages to express both facts and rules.
We explore the space of design options for combining the traditional closed-world semantics of ps with the open-world semantics of dl, and propose a general semantics for such a combination. We show how our semantics can be encoded in a fixpoint extension of first-order logic. Show that in special cases (monotonic and light PS), checking system properties such as termination is decidable.
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