The Date-Time Vocabulary, and Mapping SBVR to OWL

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November 8, 2012 The Date-Time Vocabulary, and Mapping SBVR to OWL Mark H. Linehan IBM Research mlinehan@us.ibm.com

Agenda The Date-Time Vocabulary What is the Date-Time Vocabulary? Previous Work What is SBVR? Foundations sequences, quantities, mereology vocabularies Continuous Time Model Discrete Time Model Calendars Situations and Time Language Tense & Aspect Schedules Mapping SBVR to OWL Why? 2-way information preserving Direct mapping where applicable Namespace management Annotations for what doesn t map Capturing the SBVR concept type Status 2 Mark H. Linehan November 8, 2012

Acknowledgements The Date-Time Vocabulary Automata, Inc. - Paul Haley Business Rule Solutions, LLC - Ron Ross Business Semantics, Ltd - Donald Chapin Deere & Co - Roger Burkhart EDM Council Mike Bennett Hendryx & Associations - Stan Hendryx International Business Machines - Mark H. Linehan (team lead) KDM Analytics Nickolai Mansourov KnowGravity Inc - Markus Schacher Linehan, M, Barkmeyer, E, and Hendryx, S, The Lockheed Martin Michael Chonoles Date-Time Vocabulary, 7 th International LogicBlox - Terry Halpin Conference on Formal Ontology in Information Microsoft - Don Baisley Systems, Graz, Austria, July 2012 Model Driven Solutions - Cory Casanave Model Systems - John Hall NASA Nicolas Rouquette National Institute of Standards and Technology - Ed Barkmeyer PNA Group - Sjir Nijssen Ravi Sharma Rule ML Initiative John Hall Thematics Partners - Elisa Kendall 3 Mark H. Linehan November 8, 2012

What is the Date-Time Vocabulary? A business-oriented vocabulary (ontology) for dates & times Example use case: Financial Industry Banking Ontology (FIBO) Potential use case: ISO 24617 (TimeML) Available from the OMG as a beta specification - www.omg.org/spec/dtv Specification document SBVR machine-readable vocabulary Complete UML model, with OCL Partial CLIF axiomatization Partial OWL ontology OMG Finalization Task Force Final version due November 12, 2012 Acceptance expected December, 2012 Adoption expected in early 2013 4 Mark H. Linehan November 8, 2012

Previous Work Numerous standards (the most significant listed here): ISO 8601: Data Elements and Exchange Formats Information Interchange Representation of Dates and Times ISO 80000-3: Quantities and Units Part 3: Space and Time SI: The International System of Units VIM: International Vocabulary for Metrology ISO 18026: Information Technology Spatial Reference Model Lots of academic work (only some listed here): Knowledge Representations of Time: OWL-Time & Pan Representing Complex Temporal Phenomena for the Semantic Web and Natural Language, Thesis, 2007 DOLCE, SUMO Allen: Maintaining Knowledge about Temporal Intervals, 1983 Hayes: A Catalog of Temporal Theories, 1995-1996 Sowa: Laws, Facts, and Contexts, 2003 Linguistics & Philosophy Davidson: The Logical Form of Action Sentences, 1967 Lowe: The Four-category Ontology: A Metaphysical Foundation for Natural Science, 2006 Menzel: Actualism, 2011 Parsons: Events in the Semantics of English, 1990 Zalta: Abstract and Non-Existent Objects, 2003; Twenty-Five Basic Theorems in Situation and World Theory, 1993 5 Mark H. Linehan November 8, 2012

What is SBVR? SBVR: Semantics of Business Vocabulary and Rules a specification from the Object Modeling Group (OMG) SBVR captures the business sense of business terminology, policies, regulations, contracts, SLA s with: Formal semantic model Human readable presentation Not a rule engine Existing methods of capturing business knowledge Natural Language Formal Logic (e.g. OWL, first order logic) SBVR = formal logic + structured natural language presentation SBVR Meaning SBVR Presentation Understood and used by human Easy Hard Easy Benefits: Enable business analysts to capture business knowledge Facilitate the review and validation of formalized knowledge by business users Improve communication among business people & between business & IT users Reduce the cost of knowledge engineering (e.g. OWL, rule languages) Simplify querying in knowledge-based analytics solution Potential automated transformations to executable software Automatically processed by computer Hard Easy Easy 6 Mark H. Linehan November 8, 2012

SBVR and Model-Driven Architecture Business Model ( Computation Independent Model, CIM) Semantics of Business Vocabulary & Rules Business Vocabulary Business Rules Platform Independent Model (PIM) PRR OWL, RDF RuleML XML Schema RIF UML OCL ER model CLIF Platform Specific Model (PSM) DDL database Vendor-Specific Rule or Other Language? Mapping Mapping??? business guidelines e.g. the duration of each rental must be at most 90 days rules located within a solution e.g. in the rental pickup flow, if the rental duration is greater than 90 days then e.g. in the rental reservation UI, if the rental duration is greater than 90 days then rule language or hard code e.g. if rental.duration > 90 then. Use rule language if rule is volatile or execution sequencing is indeterminate, else use hard code 7 Mark H. Linehan November 8, 2012

Example Allen Relations UML diagram, showing 7 relationships among any two time intervals, and 10 methods that are used as predicates by the OCL SBVR glossary entry for one relationship, with synonym & definition CLIF version of definition OCL version of definition 8 Mark H. Linehan November 8, 2012 Example

Foundations Quantities Vocabulary A minimal model, based on VIM Distinguishing: Quantity Quantity Kind Particular Quantity Quantity Values Measurement Unit Sequences Vocabulary A general model of sequences regular, consecutive, or unique finite or indefinite Members may be independent or intrinsic to the sequence Every element has an index either a property of each member or assigned by the sequence All three of these in SBVR + CLIF + OCL Mereology Vocabulary A general model of part-whole relationships A Minimal Model in the sense of Casati & Varzi Includes: Part of Overlaps Proper part Weak supplementation 9 Mark H. Linehan November 8, 2012

Continuous Time Model The Time Axis a time interval (a segment of the Time Axis) the duration of the time interval (the amount of time) Three primitive relationships: mereological: time interval 1 is part of time interval 2 partial order: time interval 1 is before time interval 2 duration: time interval has duration No time interval with zero duration: no time instant business applications don t use instants of time every time interval has a proper part Extensive set of verb concepts (relationships) among time intervals and durations the Allen relationships completely axiomatized in CLIF and OCL, using the primitives above Example: time interval 2 is duration after time interval 1 10 Mark H. Linehan November 8, 2012

Discrete Time Model calendar month, e.g. a time point identified by date time January or month 1 time scale with granularity "month" Time Axis time scale with granularity "day" calendar days, e.g. time points identified by date times day 2, day 6, day 7 time period from date time day 2 to date time day 6 time point: concept that specializes the concept 'time interval' and that is a member of a time scale the instances of a time point are time intervals Time coordinates indicate time points a time point may be indicated by multiple time coordinates: the time coordinates are equivalent example: January 3, 2011 is equivalent to 2011 day 3 3 11 Mark H. Linehan November 8, 2012

Calendars We define an infrastructure that permits anyone to define their own calendars examples: religious, cultural, historical calendars examples: business, financial, manufacturing calendars calendars consist of: time units, time scales, time points, time periods, and time coordinates relationships among the time units, time scales, and time points example: minute of seconds scale defined as the finite time scale that subdivides minute of hour into 60 of second of minute an interchange format to transmit time coordinates among implementations We define 4 standard calendars & time scales: the Gregorian Calendar the Week calendar time of day time scales the Internet Time calendar 12 Mark H. Linehan November 8, 2012

Situations and Time The Date-Time Vocabulary distinguishes situation kinds from occurrences Situation kind: a potential situation. Example: building codes require planning for building fires (situation kinds). Occurrences: an actual situation, a happening. Example: a building fire that burns you. A situation kind may have multiple occurrences. Temporal relationships for situation kinds & occurrences enable rules to constrain either Example: Each shipment of an order must be preceded by a payment of the order. Propositions correspond to situation kinds A proposition is true if it corresponds to a situation kind that has an occurrence that is current Examples: A contract must be fulfilled if and only if the contract was signed. Each factory manager must plan for electrical power being cut off. Each machine breakdown must be reported to the repair center. 13 Mark H. Linehan November 8, 2012

Language Tense and Aspect 14 Mark H. Linehan November 8, 2012

Schedules An Example Schedule Vocabulary Put: option that an owner sells an issue according to a Put Schedule owner sells issue according to Put schedule Put redeems at price: the owner of the Put sells the issue of the Put at the price owner sells issue at price Put redemption: general situation kind that a Put redeems at a price Put Schedule: schedule that is for 'Put redemption' A Schedule Example Put 123: owner abc sells issue 123 according to Put 123 schedule Put 123 schedule: { 'Put 123 redeems at $100' occurs for December 14 2011 'Put 123 redeems at $101' occurs for December 15 2011 'Put 123 redeems at $102' occurs for December 16 2011 } Situations that repeat according to an ad-hoc or regular time table The time intervals of the time table may be identified by definite descriptions or by a repeat interval Finance has particularly complex examples 15 Mark H. Linehan November 8, 2012

Mapping SBVR Vocabularies to OWL2 Mark H. Linehan IBM Research mlinehan@us.ibm.com Elisa Kendall Thematix Partners ekendall@thematix.com

Why? The EDMC s Financial Industry Business Ontology (FIBO) -- and other use cases -- need an OWL2 version of the Date- Time Vocabulary We focus on SBVR vocabularies, not behavioral rules but our approach can be extended to behavioral rules The mapping provided in the SBVR spec is: Incomplete Lossy (i.e. not two-way information preserving) 17 Mark H. Linehan & Elisa Kendall November 8, 2012

2-Way Information Preserving SBVR document #1 OWL2 document SBVR document #2 The meaning of SBVR document #2 is equivalent to the meaning of SBVR #1 But the representation (syntax, formatting) may differ Supporting parts of #1 are recreated in #2 Definitions, rules, descriptions, notes, examples, etc. Mechanism: Where SBVR and OWL have equivalent concepts, map the SBVR meaning to the OWL meaning & back Where they do not have equivalent concepts, capture the SBVR intent as an OWL annotation Implication: OWL2 could be used as a tool interchange format, as an alternative to the XML schema documented in the SBVR spec Implication: this identifies what SBVR adds to OWL2 18 Mark H. Linehan & Elisa Kendall November 8, 2012

Direct Mapping of Some SBVR Concepts SBVR Concept vocabulary (terminological dictionary) noun concept individual concept characteristic (unary verb concept) binary verb concept that is not a property property association verb concept n-ary verb concept verb concept role categorization type characteristic type reference scheme concept1 specializes concept2 concept1 is coextensive with concept2 ontology class individual dataproperty of type xsd:boolean, applied to the single verb concept role objectproperty + InverseObjectProperty, with the roles as domain and range sbvr:objectproperty or sbvr:dataproperty, with the first role as the domain and the second role as the range or type reify the relationship by creating a new class with n properties (one per role), per Pattern 1 in http://www.w3.org/tr/swbp-n-aryrelations/ (see above) class CT + SubClassof(class, class CT) enumeration reference keys sub class equivalent class OWL2 19 Mark H. Linehan & Elisa Kendall November 8, 2012

Direct Mapping of Some SBVR Definition & Rule Patterns SBVR Definition/Rule Pattern concept1 Definition: concept2 that. concept1 Definition: concept2 that is a concept3 concept1 Definition: concept2 or concept3 No concept1 is a concept2 Necessity: Each concept1 has exactly/at least/at most n concept2. OWL2 sub class sub class (multiple inheritance) union disjoint classes cardinality restriction 20 Mark H. Linehan & Elisa Kendall November 8, 2012

Namespace Management SBVR namespaces are mapped to IRIs Each SBVR vocabulary is an OWL ontology with its own IRI Each SBVR property is in the namespace of the concept that owns the property handled by concatenating the owning property name, /, and the property name Example SBVR OWL2 Vocabulary General Concept: vocabulary Namespace URI: <IRI for vocabulary> car has door house has door Prefix(vocab = <IRI for vocabulary>) Ontology(<IRI for vocabulary>) Class(vocab:door) ObjectProperty(sbvr:objectProperty vocab:car vocab:car/door) ObjectProperty(sbvr:objectProperty vocab:house vocab:house/door) 21 Mark H. Linehan & Elisa Kendall November 8, 2012

Annotations We define a set of annotations for capturing aspects of SBVR that have no OWL equivalent Synonyms Descriptions, examples, notes References Rules Unambiguously identifying the Concept Type of an SBVR glossary entry We use SKOS and Dublin Core annotations where they exist and mean what SBVR means 22 Mark H. Linehan & Elisa Kendall November 8, 2012

Annotations for Definitions & Rules Annotations: sbvr:definition, sbvr:necessity, sbvr:possibility Domain: sbvr:concept Range: an XML-tagged string literal use XML tags to distinguish the parts of speech: noun concepts, individual concepts, verb concepts, keywords, subscripts 23 Mark H. Linehan & Elisa Kendall November 8, 2012

Identifying the SBVR Concept Type Each SBVR glossary entry has a Concept Type Implied by the form of the glossary entry text Or explicit We capture the SBVR Concept Type with an sbvr:type annotation The domain of this annotation is any OWL:Resource The range of this annotation is an OWL ontology of SBVR meanings This ontology is used only for the sbvr:type annotation 24 Mark H. Linehan & Elisa Kendall November 8, 2012

Example (abbreviated) Time Axis SBVR Definition: the indefinite continued progress of existence and events in the past, present, and future, regarded as a continuum Necessity: There exists exactly one Time Axis OWL Prefix(vocab=<dtv uri>) NamedIndividual(vocab:TimeAxis) AnnotationAssertion(sbvr:type vocab:timeaxis sbvr:individualconcept) AnnotationAssertion(skos:definition vocab:timeaxis the indefinite continued progress of existence and events in the past, present, and future, regarded as a continuum ) AnnotationAssertion(sbvr:necessity vocab:timeaxis <sbvr:keyword>there exists exactly one </sbvr:keyword> <sbvr:individual> Time Axis</sbvr:individual> ) 25 Mark H. Linehan & Elisa Kendall November 8, 2012

Status Partially done Working document describing the mapping OWL ontologies for the SBVR annotations and SBVR concept hierarchy We have deferred actually mapping the DTV vocabulary until we are satisfied with the SBVROWLSBVR mapping Target: year end 2012 26 Mark H. Linehan & Elisa Kendall November 8, 2012

Vision Create vocabularies and rules in SBVR A way for real business people to understand and give feedback on the rules & vocabulary Because the rules can be displayed in graphical or Structured English forms that are accessible to non-technical people Both rules and vocabulary are captured in a single integrated, formal meta-model Vocabularies are business-oriented ontologies Rules are based on predicate + modal logic Translate the vocabularies and rules to implementation-level standards & languages, e.g. OWL To reuse implementation-level technology To apply the vocabulary & rules in existing IT systems Extend the reach of established standards The Date-Time Vocabulary enables this vision Write rules once and apply in multiple existing technologies Central, enterprise-level management of vocabulary and rules 27 Mark H. Linehan November 8, 2012