Logic-Based Technologies for Intelligent Systems: State of the Art and Perspectives
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
Graph-Based Reasoning in Collaborative Knowledge Management for Industrial Maintenance Bernard Kamsu-Foguem, Daniel Noyes
Graph-based reasoning in collaborative knowledge management for industrial maintenance Bernard Kamsu-Foguem, Daniel Noyes To cite this version: Bernard Kamsu-Foguem, Daniel Noyes. Graph-based reasoning in collaborative knowledge manage- ment for industrial maintenance. Computers in Industry, Elsevier, 2013, Vol. 64, pp. 998-1013. 10.1016/j.compind.2013.06.013. hal-00881052 HAL Id: hal-00881052 https://hal.archives-ouvertes.fr/hal-00881052 Submitted on 7 Nov 2013 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Open Archive Toulouse Archive Ouverte (OATAO) OATAO is an open access repository that collects the work of Toulouse researchers and makes it freely available over the web where possible. This is an author-deposited version published in: http://oatao.univ-toulouse.fr/ Eprints ID: 9587 To link to this article: doi.org/10.1016/j.compind.2013.06.013 http://www.sciencedirect.com/science/article/pii/S0166361513001279 To cite this version: Kamsu Foguem, Bernard and Noyes, Daniel Graph-based reasoning in collaborative knowledge management for industrial -
Schema.Org As a Description Logic
Schema.org as a Description Logic Andre Hernich1, Carsten Lutz2, Ana Ozaki1 and Frank Wolter1 1University of Liverpool, UK 2University of Bremen, Germany fandre.hernich, anaozaki, [email protected] [email protected] Abstract Patel-Schneider [2014] develops an ontology language for Schema.org with a formal syntax and semantics that, apart Schema.org is an initiative by the major search en- from some details, can be regarded as a fragment of OWL DL. gine providers Bing, Google, Yahoo!, and Yandex that provides a collection of ontologies which web- In this paper, we abstract slightly further and view the masters can use to mark up their pages. Schema.org Schema.org ontology language as a DL, in line with the for- comes without a formal language definition and malization by Patel-Schneider. Thus, what Schema.org calls a without a clear semantics. We formalize the lan- type becomes a concept name and a property becomes a role guage of Schema.org as a Description Logic (DL) name. The main characteristics of the resulting ‘Schema.org and study the complexity of querying data using DL’ are that (i) the language is very restricted, allowing only (unions of) conjunctive queries in the presence of inclusions between concept and role names, domain and range ontologies formulated in this DL (from several per- restrictions, nominals, and datatypes; (ii) ranges and domains spectives). While querying is intractable in general, of roles can be restricted to disjunctions of concept names (pos- we identify various cases in which it is tractable and sibly mixed with datatypes in range restrictions) and nominals where queries are even rewritable into FO queries are used in ‘one-of enumerations’ which also constitute a form or datalog programs. -
A Survey of Top-Level Ontologies to Inform the Ontological Choices for a Foundation Data Model
A survey of Top-Level Ontologies To inform the ontological choices for a Foundation Data Model Version 1 Contents 1 Introduction and Purpose 3 F.13 FrameNet 92 2 Approach and contents 4 F.14 GFO – General Formal Ontology 94 2.1 Collect candidate top-level ontologies 4 F.15 gist 95 2.2 Develop assessment framework 4 F.16 HQDM – High Quality Data Models 97 2.3 Assessment of candidate top-level ontologies F.17 IDEAS – International Defence Enterprise against the framework 5 Architecture Specification 99 2.4 Terminological note 5 F.18 IEC 62541 100 3 Assessment framework – development basis 6 F.19 IEC 63088 100 3.1 General ontological requirements 6 F.20 ISO 12006-3 101 3.2 Overarching ontological architecture F.21 ISO 15926-2 102 framework 8 F.22 KKO: KBpedia Knowledge Ontology 103 4 Ontological commitment overview 11 F.23 KR Ontology – Knowledge Representation 4.1 General choices 11 Ontology 105 4.2 Formal structure – horizontal and vertical 14 F.24 MarineTLO: A Top-Level 4.3 Universal commitments 33 Ontology for the Marine Domain 106 5 Assessment Framework Results 37 F. 25 MIMOSA CCOM – (Common Conceptual 5.1 General choices 37 Object Model) 108 5.2 Formal structure: vertical aspects 38 F.26 OWL – Web Ontology Language 110 5.3 Formal structure: horizontal aspects 42 F.27 ProtOn – PROTo ONtology 111 5.4 Universal commitments 44 F.28 Schema.org 112 6 Summary 46 F.29 SENSUS 113 Appendix A F.30 SKOS 113 Pathway requirements for a Foundation Data F.31 SUMO 115 Model 48 F.32 TMRM/TMDM – Topic Map Reference/Data Appendix B Models 116 ISO IEC 21838-1:2019 -
Ontologies and Description Logics
Symbolic and structural models for image understanding Part II: Ontologies and description logics Jamal Atif - Isabelle Bloch - Céline Hudelot IJCAI 2016 1 / 72 J. Atif, I. Bloch, C. Hudelot Image Understanding Outline 1 What is an ontology ? 2 Ontologies for image understanding: overview 3 Description Logics 4 Description Logics for image understanding 5 Conclusion What is an ontology ? What is an ontology ? Example from F. Gandon, WIMMICS Team, INRIA What is the last document that you have read? Documents 3 / 72 J. Atif, I. Bloch, C. Hudelot Image Understanding What is an ontology ? Ontologies: Definition Ontology ethymology: ontos (being, that which is) + logos (science, study, theory) Philosophy Study of the nature of being, becoming and reality. Study of the basic categories of being and their relations. Computer Science Formal representation of a domain of discourse. Explicit specification of a conceptualization [Gruber 95]. Ref: [Guarino 09] 4 / 72 J. Atif, I. Bloch, C. Hudelot Image Understanding What is an ontology ? Ontologies: Definition ontology Formal, explicit (and shared) specification of a conceptualization [Gruber 95, Studer 98] Formal, explicit specification: a formal language is used to refer to the elements of the conceptualization, e.g. description logics Conceptualization: Objects, concepts and other entities and their relationships Concept Relation Denoted by: Denoted by: a name a name a meaning (intensional definition) an intension a set of denoted objects (extensional an extension definition) 5 / 72 J. Atif, I. Bloch, C. Hudelot Image Understanding What is an ontology ? The different types of ontologies According to their expressivity Source : [Uschold 04] 6 / 72 J. Atif, I. Bloch, C. -
Here the Handbook of Abstracts
Handbook of the 4th World Congress and School on Universal Logic March 29 { April 07, 2013 Rio de Janeiro, Brazil UNILOG'2013 www.uni-log.org Edited by Jean-Yves B´eziau,Arthur Buchsbaum and Alexandre Costa-Leite Revised by Alvaro Altair Contents 1 Organizers of UNILOG'13 5 1.1 Scientific Committee . .5 1.2 Organizing Committee . .5 1.3 Supporting Organizers . .6 2 Aim of the event 6 3 4th World School on Universal Logic 8 3.1 Aim of the School . .8 3.2 Tutorials . .9 3.2.1 Why Study Logic? . .9 3.2.2 How to get your Logic Article or Book published in English9 3.2.3 Non-Deterministic Semantics . 10 3.2.4 Logic for the Blind as a Stimulus for the Design of Inno- vative Teaching Materials . 13 3.2.5 Hybrid Logics . 16 3.2.6 Psychology of Reasoning . 17 3.2.7 Truth-Values . 18 3.2.8 The Origin of Indian Logic and Indian Syllogism . 23 3.2.9 Logical Forms . 24 3.2.10 An Introduction to Arabic Logic . 25 3.2.11 Quantum Cognition . 27 3.2.12 Towards a General Theory of Classifications . 28 3.2.13 Connecting Logics . 30 3.2.14 Relativity of Mathematical Concepts . 32 3.2.15 Undecidability and Incompleteness are Everywhere . 33 3.2.16 Logic, Algebra and Implication . 33 3.2.17 Hypersequents and Applications . 35 3.2.18 Introduction to Modern Mathematics . 36 3.2.19 Erotetic Logics . 37 3.2.20 History of Paraconsistent Logic . 38 3.2.21 Institutions . -
Knowledge Representation in Bicategories of Relations
Knowledge Representation in Bicategories of Relations Evan Patterson Department of Statistics, Stanford University Abstract We introduce the relational ontology log, or relational olog, a knowledge representation system based on the category of sets and relations. It is inspired by Spivak and Kent’s olog, a recent categorical framework for knowledge representation. Relational ologs interpolate between ologs and description logic, the dominant formalism for knowledge representation today. In this paper, we investigate relational ologs both for their own sake and to gain insight into the relationship between the algebraic and logical approaches to knowledge representation. On a practical level, we show by example that relational ologs have a friendly and intuitive—yet fully precise—graphical syntax, derived from the string diagrams of monoidal categories. We explain several other useful features of relational ologs not possessed by most description logics, such as a type system and a rich, flexible notion of instance data. In a more theoretical vein, we draw on categorical logic to show how relational ologs can be translated to and from logical theories in a fragment of first-order logic. Although we make extensive use of categorical language, this paper is designed to be self-contained and has considerable expository content. The only prerequisites are knowledge of first-order logic and the rudiments of category theory. 1. Introduction arXiv:1706.00526v2 [cs.AI] 1 Nov 2017 The representation of human knowledge in computable form is among the oldest and most fundamental problems of artificial intelligence. Several recent trends are stimulating continued research in the field of knowledge representation (KR). -
Artificial Intelligence
BROAD AI now and later Michael Witbrock, PhD University of Auckland Broad AI Lab @witbrock Aristotle (384–322 BCE) Organon ROOTS OF AI ROOTS OF AI Santiago Ramón y Cajal (1852 -1934) Cerebral Cortex WHAT’S AI • OLD definition: AI is everything we don’t yet know how program • Now some things that people can’t do: • unique capabilities (e.g. Style transfer) • superhuman performance (some areas of speech, vision, games, some QA, etc) • Current AI Systems can be divided by their kind of capability: • Skilled (Image recognition, Game Playing (Chess, Atari, Go, DoTA), Driving) • Attentive (Trading: Aidyia; Senior Care: CareMedia, Driving) • Knowledgeable, (Google Now, Siri, Watson, Cortana) • High IQ (Cyc, Soar, Wolfram Alpha) GOFAI • Thought is symbol manipulation • Large numbers of precisely defined symbols (terms) • Based on mathematical logic (implies (and (isa ?INST1 LegalAgreement) (agreeingAgents ?INST1 ?INST2)) (isa ?INST2 LegalAgent)) • Problems solved by searching for transformations of symbolic representations that lead to a solution Slow Development Thinking Quickly Thinking Slowly (System I) (System II) Human Superpower c.f. other Done well by animals and people animals Massively parallel algorithms Serial and slow Done poorly until now by computers Done poorly by most people Not impressive to ordinary people Impressive (prizes, high pay) "Sir, an animal’s reasoning is like a dog's walking on his hind legs. It is not done well; but you are surprised to find it done at all.“ - apologies to Samuel Johnson Achieved on computers by high- Fundamental design principle of power, low density, slow computers simulation of vastly different Computer superpower c.f. neural hardware human Recurrent Deep Learning & Deep Reasoning MACHINE LEARNING • Meaning is implicit in the data • Thought is the transformation of learned representations http://karpathy.github.io/2015/05/21/rnn- effectiveness/ . -
Knowledge Graphs on the Web – an Overview Arxiv:2003.00719V3 [Cs
January 2020 Knowledge Graphs on the Web – an Overview Nicolas HEIST, Sven HERTLING, Daniel RINGLER, and Heiko PAULHEIM Data and Web Science Group, University of Mannheim, Germany Abstract. Knowledge Graphs are an emerging form of knowledge representation. While Google coined the term Knowledge Graph first and promoted it as a means to improve their search results, they are used in many applications today. In a knowl- edge graph, entities in the real world and/or a business domain (e.g., people, places, or events) are represented as nodes, which are connected by edges representing the relations between those entities. While companies such as Google, Microsoft, and Facebook have their own, non-public knowledge graphs, there is also a larger body of publicly available knowledge graphs, such as DBpedia or Wikidata. In this chap- ter, we provide an overview and comparison of those publicly available knowledge graphs, and give insights into their contents, size, coverage, and overlap. Keywords. Knowledge Graph, Linked Data, Semantic Web, Profiling 1. Introduction Knowledge Graphs are increasingly used as means to represent knowledge. Due to their versatile means of representation, they can be used to integrate different heterogeneous data sources, both within as well as across organizations. [8,9] Besides such domain-specific knowledge graphs which are typically developed for specific domains and/or use cases, there are also public, cross-domain knowledge graphs encoding common knowledge, such as DBpedia, Wikidata, or YAGO. [33] Such knowl- edge graphs may be used, e.g., for automatically enriching data with background knowl- arXiv:2003.00719v3 [cs.AI] 12 Mar 2020 edge to be used in knowledge-intensive downstream applications. -
THE DATA COMPLEXITY of DESCRIPTION LOGIC ONTOLOGIES in Recent Years, the Use of Ontologies to Access Instance Data Has Become In
THE DATA COMPLEXITY OF DESCRIPTION LOGIC ONTOLOGIES CARSTEN LUTZ AND FRANK WOLTER University of Bremen, Germany e-mail address: [email protected] University of Liverpool e-mail address: [email protected] ABSTRACT. We analyze the data complexity of ontology-mediated querying where the ontologies are formulated in a description logic (DL) of the ALC family and queries are conjunctive queries, positive existential queries, or acyclic conjunctive queries. Our approach is non-uniform in the sense that we aim to understand the complexity of each single ontology instead of for all ontologies for- mulated in a certain language. While doing so, we quantify over the queries and are interested, for example, in the question whether all queries can be evaluated in polynomial time w.r.t. a given on- tology. Our results include a PTIME/CONP-dichotomy for ontologies of depth one in the description logic ALCFI, the same dichotomy for ALC- and ALCI-ontologies of unrestricted depth, and the non-existence of such a dichotomy for ALCF-ontologies. For the latter DL, we additionally show that it is undecidable whether a given ontology admits PTIME query evaluation. We also consider the connection between PTIME query evaluation and rewritability into (monadic) Datalog. 1. INTRODUCTION In recent years, the use of ontologies to access instance data has become increasingly popular [PLC+08, KZ14, BO15]. The general idea is that an ontology provides domain knowledge and an enriched vocabulary for querying, thus serving as an interface between the query and the data, and enabling the derivation of additional facts. In this emerging area, called ontology-mediated querying, it is a central research goal to identify ontology languages for which query evaluation scales to large amounts of instance data. -
Complexity of the Description Logic ALCM
Proceedings, Fifteenth International Conference on Principles of Knowledge Representation and Reasoning (KR 2016) Complexity of the Description Logic ALCM Monica´ Martinez and Edelweis Rohrer Paula Severi Instituto de Computacion,´ Facultad de Ingenier´ıa, Department of Computer Science, Universidad de la Republica,´ Uruguay University of Leicester, England Abstract in ALCM can be used for a knowledge base in ALC. Details of our ExpTime algorithm for ALCM along with In this paper we show that the problem of deciding the consis- proofs of correctness and the complexity result can be found tency of a knowledge base in the Description Logic ALCM is ExpTime-complete. The M stands for meta-modelling as in (Martinez, Rohrer, and Severi 2015). defined by Motz, Rohrer and Severi. To show our main result, we define an ExpTime Tableau algorithm as an extension of 2 A Flexible Meta-modelling Approach an algorithm for ALC by Nguyen and Szalas. A knowledge base in ALCM contains an Mbox besides of a Tbox and an Abox. An Mbox is a set of equalities of the form 1 Introduction a =m A where a is an individual and A is a concept (Motz, The main motivation of the present work is to study the com- Rohrer, and Severi 2015). Figure 1 shows an example of two plexity of meta-modelling as defined in (Motz, Rohrer, and ontologies separated by a horizontal line, where concepts are Severi 2014; 2015). No study of complexity has been done denoted by large ovals and individuals by bullets. The two so far for this approach and we would like to analyse if it ontologies conceptualize the same entities at different lev- increases the complexity of a given description logic. -
Using Linked Data for Semi-Automatic Guesstimation
Using Linked Data for Semi-Automatic Guesstimation Jonathan A. Abourbih and Alan Bundy and Fiona McNeill∗ [email protected], [email protected], [email protected] University of Edinburgh, School of Informatics 10 Crichton Street, Edinburgh, EH8 9AB, United Kingdom Abstract and Semantic Web systems. Next, we outline the process of GORT is a system that combines Linked Data from across guesstimation. Then, we describe the organisation and im- several Semantic Web data sources to solve guesstimation plementation of GORT. Finally, we close with an evaluation problems, with user assistance. The system uses customised of the system’s performance and adaptability, and compare inference rules over the relationships in the OpenCyc ontol- it to several other related systems. We also conclude with a ogy, combined with data from DBPedia, to reason and per- brief section on future work. form its calculations. The system is extensible with new Linked Data, as it becomes available, and is capable of an- Literature Survey swering a small range of guesstimation questions. Combining facts to answer a user query is a mature field. The DEDUCOM system (Slagle 1965) was one of the ear- Introduction liest systems to perform deductive query answering. DE- The true power of the Semantic Web will come from com- DUCOM applies procedural knowledge to a set of facts in bining information from heterogeneous data sources to form a knowledge base to answer user queries, and a user can new knowledge. A system that is capable of deducing an an- also supplement the knowledge base with further facts. -
Why Has AI Failed? and How Can It Succeed?
Why Has AI Failed? And How Can It Succeed? John F. Sowa VivoMind Research, LLC 10 May 2015 Extended version of slides for MICAI'14 ProblemsProblems andand ChallengesChallenges Early hopes for artificial intelligence have not been realized. Language understanding is more difficult than anyone thought. A three-year-old child is better able to learn, understand, and generate language than any current computer system. Tasks that are easy for many animals are impossible for the latest and greatest robots. Questions: ● Have we been using the right theories, tools, and techniques? ● Why haven’t these tools worked as well as we had hoped? ● What other methods might be more promising? ● What can research in neuroscience and psycholinguistics tell us? ● Can it suggest better ways of designing intelligent systems? 2 Early Days of Artificial Intelligence 1960: Hao Wang’s theorem prover took 7 minutes to prove all 378 FOL theorems of Principia Mathematica on an IBM 704 – much faster than two brilliant logicians, Whitehead and Russell. 1960: Emile Delavenay, in a book on machine translation: “While a great deal remains to be done, it can be stated without hesitation that the essential has already been accomplished.” 1965: Irving John Good, in speculations on the future of AI: “It is more probable than not that, within the twentieth century, an ultraintelligent machine will be built and that it will be the last invention that man need make.” 1968: Marvin Minsky, technical adviser for the movie 2001: “The HAL 9000 is a conservative estimate of the level of artificial intelligence in 2001.” 3 The Ultimate Understanding Engine Sentences uttered by a child named Laura before the age of 3.