package PM { //----------------------- Forward declarations ------------------------- class IntRange; class Date; class User; abstract class Term; abstract class Type; abstract class ConceptNode; class QNode; // by representing numbers as strings, we can apply default values // to them, which is convenient until we upgrade HUTN to handle // default values on numbers typedef string Number; typedef string Natural; //positive (or null) integer //------------------------------ KRelt --------------------------------- abstract class KRElt { }; abstract class EltWithCreator : KRElt { attribute string comment; //comment stored with the object attribute bag [0..1] of Date creationDate; reference creator to creator of HasCreator; }; //direct subclasses: Term, Partition, Node and Correction abstract class EltWithoutCreator : KRElt { }; //direct subclasses: Collection, Value, NameSpace, Quantifier // and ConflictResolution //A node is not a term (named category), it is a structure //aggregating a term, a quantifier (implicit/null if the term //is an individual) and other stuff. //Similarly, values and name spaces are not terms; they won't //be related by links (e.g. partOf links) like terms arewill. association HasCreator { //pm: was called HasCreatedElts end set [0..*] of EltWithCreator creatorOf; end single User creator; }; //-------------------- Link (between named categories) --------------------- abstract class Link: EltWithCreator { //attribute string name; //instance, subtype, sameAs, //differentFrom, exclusion, complement, inverse, //member, part, substance, location, object, url attribute boolean isReversed; attribute Natural minDomain; attribute Natural maxDomain; attribute Natural minRange; attribute Natural maxRange; reference source to source of HasLinkSourceTerm; reference dest to dest of HasLinkDestTerm; }; class InstanceOf: Link {}; class Supertype: Link {}; class Instance: Link {}; class Subtype: Link {}; class SameAs: Link {}; class DifferentFrom:Link{}; class Exclusion:Link{}; class Inverse: Link {}; class Complement: Link {}; class Member: Link {}; class Part: Link {}; class Substance: Link{}; class Location: Link {}; class Obj: Link{}; class Url: Link{}; //class LinkBetweenTypes: Link { // reference source to source of HasLinkSourceType; // reference dest to dest of HasLinkDestType; //}; //class Subtype:LinkBetweenTypes {}; class Exclusion: LinkBetweenTypes {}; //class Inverse:LinkBetweenTypes {}; class Complement:LinkBetweenTypes {}; //association HasLinkSourceType { // end set [0..*] of Link sourceOf; // end single Type source; //}; //association HasLinkDestType { // end set [0..*] of Link destOf; // end single Type dest; //}; //class LinkBetweenTerms: Link { // reference source to source of HasLinkSourceTerms; // reference dest to dest of HasLinkDestTerms; //}; //class Instance: LinkBetweenTerms {}; class SameAs: LinkBetweenTerms {}; //class DifferentFrom: LinkBetweenTerms {}; //class Member: LinkBetweenTerms {}; class Part: LinkBetweenTerms {}; //class Substance: LinkBetweenTerms {}; class Location: LinkBetweenTerms{}; //class Object: LinkBetweenTerms {}; class Url: LinkBetweenTerms {}; association HasLinkSourceTerm { end set [0..*] of Link sourceOf; composite end single Term source; // KR was here! }; association HasLinkDestTerm { end set [0..*] of Link destOf; end single Term dest; }; //------------------------ Term (named category) ----------------------- abstract class Term: EltWithCreator { reference identifier to identifier of HasIdentifier; reference name to name of HasName; reference sourceOf to sourceOf of HasLinkSourceTerm; reference destOf to destOf of HasLinkDestTerm; //reference sourceTypeOf to sourceOf of HasLinkSourceType; //reference destTypeOf to destOf of HasLinkDestType; //to refer to nodes (and hence statements) using this term //WITHOUT QUANTIFIER; if "this" is a type, the node is either //connected to a second-order relation or is an embedding node reference directTNode to termOf of HasConceptNodeTerm; //to refer to the user represented by this term reference representationOf to representationOf of HasRepresentation; }; class Indiv: Term { //Individual/type0: term that cannot have instances, }; // subtypes or supertypes abstract class Type : Term { //reference instance to instance of HasInstance; //reference subtype to subtype of HasSubtype; //reference supertype to subtypeOf of HasSubtype; reference subtypePartition to subtypePartition of HasSubtypePartition; reference subtypePartitionEltOf to subtypePartitionEltOf of HasSubtypePartitionElt; reference partPartition to partPartition of HasPartPartition; reference partPartitionEltOf to partPartitionEltOf of HasPartPartitionElt; reference domainOf to domainOf of HasDomain; //default: any reference rangeOf to rangeOf of HasRange; //default: any //to refer to definitions of this type reference definition to definition of HasDefinedType; //to refer to concept nodes and relations using this type //WITH a QUANTIFIER reference directQNode to typeOf of HasConceptNodeType; reference relation to typeOf of HasRelationType; }; class MetaType : Type { //pm: not used below but Type is abstract }; class CType : Type { //pm: not used below but Type is abstract }; class RType : Type { //pm: We may want to accept non binary relations even though we also want //pm: to discourage their use. With the following, relations are only binary. attribute Natural minDomain; attribute Natural maxDomain; //if =1, this is a function type? attribute Natural minRange; //always 0 (optional to use)! attribute Natural maxRange; reference domain to domain of HasDomain; reference range to range of HasRange; }; //pm: class Alias : Term { //Term that is the destination of an '=' link //pm: }; //Can probably be removed (it is an implementation issue). //pm: class Undefined : Term { //temporary and not mandatory since Term //pm: }; //can be used instead //...... A few links between categories (2nd-order relations) //pm: can creators be associated to links when represented this way? association HasDomain { //for the signature of binary relation end set [0..*] of RType domainOf; end single Type domain; }; association HasRange { //for the signature of binary relation end set [0..*] of RType rangeOf; end single Type range; }; //--------------------------- Partition -------------------------------- //a partition is a set of exclusive types or statements abstract class Partition : EltWithCreator { attribute boolean isClosed; //if not, it is redundant since //its elements can be automatically found }; abstract class TypePartition : Partition { }; class SubtypePartition : TypePartition { reference subtype to subtype of HasSubtypePartitionElt; }; class PartPartition : TypePartition { reference partType to partType of HasPartPartitionElt; }; association HasSubtypePartition { composite end single Type subtypePartitionOf; end set [0..*] of SubtypePartition subtypePartition; }; association HasSubtypePartitionElt { end set [0..*] of SubtypePartition subtypePartitionEltOf; end set [0..*] of Type subtype; }; association HasPartPartition { composite end single Type partPartitionOf; end set [0..*] of PartPartition partPartition; }; association HasPartPartitionElt { end set [0..*] of PartPartition partPartitionEltOf; end set [0..*] of Type partType; }; //----------------------------- Value --------------------------------- abstract class Value: EltWithoutCreator { //it was OntologyElt }; class Time : Value { //originally Time was a struct but it broke HUTN attribute Natural year; attribute Natural month; attribute Natural day; attribute Natural hour; attribute Natural minute; attribute Natural second; }; class Date : Time { }; class Duration : Time { }; class TimeValue: Value { //pm: not yet used attribute Time t; }; class TimeRange: TimeValue { //pm: not yet used attribute Time t2; }; class IntValue: Value { //pm: not yet used attribute Natural v; }; class StringValue: Value { attribute string s; }; typedef string Variable; //---------------------- User/NameSpace and Name ---------------------- // Names, like identifiers, include a reference to a // name space and to a name. In fact identifiers are names, the // only difference is that two terms may share the same name but // cannot share the same identifier. How is this issue dealt above? class Name: StringValue { reference nameSpace to nameSpace of HasNameSpace; reference nameOf to nameOf of HasName; }; class Identifier: Name { reference identifierOf to identifierOf of HasIdentifier; }; class NameSpace: EltWithoutCreator { //pm: not Term attribute string name; attribute string password; //the term representing this namespace is likely to be an URL reference term to representation of HasRepresentation; reference nameSpaceOf to nameSpaceOf of HasNameSpace; }; class User: NameSpace { reference creatorOf to creatorOf of HasCreator; }; association HasRepresentation { //"has a term representing it" end single NameSpace representationOf; end set [0..*] of Term representation; //most likely only 1 }; association HasName { end set [0..*] of Term nameOf; end set [0..*] of Name name; }; association HasIdentifier { end single Term identifierOf; //uniquely identified term end set [0..*] of Name identifier; //possibly many identifiers }; association HasNameSpace { end ordered set [0..*] of Name nameSpaceOf; end set [0..*] of NameSpace nameSpace; }; //-------------------------- Collection -------------------------------- typedef string CollKind; //enum CollKind {cSet,cBag,cList,cSequence}; typedef string CollAggregation; //enum CollAggregation {and,or,xor}; // enum CollInterpretation { distributive, collective, cumulative }; typedef string CollInterpretation; //default: distributive abstract class Collection : EltWithoutCreator { attribute CollKind kind; attribute boolean isOpenColl; attribute CollAggregation aggregation; attribute CollInterpretation interpretation; //pm: attribute Number size; //number of elems: not all may be given }; //----------------------------- Node ----------------------------------- abstract class Node : EltWithCreator { }; abstract class ConceptNode : Node { reference sourceOf to sourceOf of HasSourceNode; reference destOf to destOf of HasDestNode; reference destRefOf to destOf of HasReferredDestNode; reference collEltOf to collEltOf of HasCollectionElt; //a class EmbeddedNode could be created for the next 2 lines //but multi-instantiation would be needed to permit instances //of subclasses of Node to be also instance of EmbeddedNode attribute boolean isNegated; reference embeddingNode to embeddedNodeOf of HasEmbeddedNode; reference embeddedNode1RefOf to embeddedNodeOf of HasReferredFirstEmbeddedNode; //Using variables is one of the ways to //1) connect this node to a definition parameter, //2) specify that this connect is identical to another node. //In both cases, if multi-instantiation is possible, //an association could also be used. attribute Variable var; }; // enum Modality { noneM, must, may, can }; //default: none typedef string Modality; class Relation : Node { attribute boolean isReversed; attribute Modality modality; reference rType to rType of HasRelationType; reference source to source of HasSourceNode; reference dest to dest of HasDestNode; reference destRef to dest of HasReferredDestNode; }; association HasRelationType { end set [0..*] of Relation typeOf; end single Type rType; //not always RelationType }; association HasSourceNode { //pm: I have reversed the order/direction end set [0..*] of Relation sourceOf; //normally 1 composite end single ConceptNode source; }; association HasDestNode { //pm: I have reversed the order/direction composite end single Relation destOf; end single ConceptNode dest; }; association HasReferredDestNode { //pm: I have reversed the order/direction end set [0..*] of Relation destOf; end single ConceptNode dest; }; //.................. VNode (ConceptNodeForValue) ...................... // Concept node with just a value (number or time) or an interval of // value. Nno term, no quantifier. class VNode : ConceptNode { }; // enum Precision { exact, about, around, atLeast,atMost,between }; typedef string Precision; //default: exact class NodeForNumber : VNode { attribute Precision precision; attribute Number num; attribute Number toNumber; }; class NodeForTime : VNode { //point in time or duration attribute Time aTime; attribute Time toTime; }; //................. QNode (QuantifiedConceptNode) ..................... //enum QuantifierKind { some, few, most, several, // all, percent, local_any, local_percent }; typedef string QuantifierKind; //default: some class Quantifier : EltWithoutCreator { attribute QuantifierKind kind; attribute Number num; //Number HUTNs better than Value attribute Number toNumber; attribute Precision precision; }; //enum Qualifier {noneQ,small,important,big,great, good,bad}; typedef string Qualifier; //default: noneQ class QNode : ConceptNode { reference cType to cType of HasConceptNodeType; attribute boolean isNegatedType; //NEW! attribute bag [0..1] of Quantifier quantifier; //reference quantifier to quantifier of HasQuantifier; attribute Qualifier qualifier; }; //a type may also be used without quantifier // association HasQuantifier { // composite end single QNode quantifierOf; // end single Quantifier quantifier; // }; association HasConceptNodeType { end set [0..*] of Node typeOf; end single Type cType; }; //...................... NodeCollection .......................... class NodeCollection : QNode, Collection { reference collElt to collElt of HasCollectionElt; }; association HasCollectionElt { composite end single NodeCollection collEltOf; end set [0..*] of ConceptNode collElt; }; //................. TNode (ConceptNodeForTerm) .................. //the term may be a type if a second-order relation is connected //or, in the case this node is an embedding node (see below), if a //statement type (e.g. hypothesis or proof) is given instead of an //individual (if neither is given, the statement type is "statement") class TNode : ConceptNode { reference term to term of HasConceptNodeTerm; }; association HasConceptNodeTerm { end set [0..*] of TNode termOf; end single Term term; }; //.................... EmbeddingNode (statement) ...................... //an embedding node may or may not be quantified. abstract class EmbeddingNode : TNode { //assertion/defin./query attribute string text; //text used for asserting the node //or application-dependant place of storage reference embeddedNode to embeddedNode of HasEmbeddedNode; reference embeddedNode1 to firstEmbeddedNode of HasFirstEmbeddedNode; reference embeddedNode1Ref to firstEmbeddedNode of HasReferredFirstEmbeddedNode; }; //pm: class EmbeddedNode : ConceptNode { //replaced by ENode below //pm: reference embeddingNode to embeddedNodeOf of HasEmbeddedNode; //pm: }; association HasEmbeddedNode { composite end single EmbeddingNode embeddedNodeOf; end set [0..*] of Node embeddedNode; //Node or EmbeddedNode }; association HasFirstEmbeddedNode { //the first node of the statement composite end single Node embeddedNodeOf; end single Node firstEmbeddedNode; }; association HasReferredFirstEmbeddedNode { end set [0..*] of Node embeddedNodeOf; end single Node firstEmbeddedNode; }; class KRQuery : EmbeddingNode { //to query statements }; class LNode : EmbeddingNode { //a node defining And using a lambda }; //e.g. [most (cat, chrc: a great hapiness)] //enum DefKind { NC, SC, NSC }; //necessary and/or sufficient conditions typedef string DefKind; class Definition : EmbeddingNode { reference dType to definedType of HasDefinedType; attribute DefKind kind; attribute ordered set [0..*] of Variable parameter; }; association HasDefinedType { end set [0..*] of Definition definition; end single Type definedType; }; class Assertion : EmbeddingNode { //to assert stuff reference sourceCorrectionOf to sourceCorrectionOf of HasSourceCorrection; reference destCorrectionOf to destCorrectionOf of HasDestCorrection; reference conflictingNodeOf to conflictingNodeOf of HasConflictingNode; }; class ENode : EmbeddingNode { //for embedded and embedding statements }; //----------------- Correction between assertions ------------------- //To permit a user to record conflicting between 2 statements/beliefs. typedef string CorrectionKind; //e.g. corrective_specialization, //corrective_generalization, correction (if previous don't apply), //correction (if the previous do not apply; e.g. "counterexample"), //overriding_specialization (e.g. "instantiation") class Correction : EltWithCreator { attribute CorrectionKind kind; reference source to sourceCorrection of HasSourceCorrection; reference dest to destCorrection of HasDestCorrection; reference correctionOf to correctionOf of HasCorrection; }; association HasSourceCorrection { end single Correction sourceCorrectionOf; end set [1..1] of Assertion sourceCorrection; }; association HasDestCorrection { end single Correction destCorrectionOf; end set [1..1] of Assertion destCorrection; }; //Simple elaborations are automatically detected or should be stored //using rhetorical/argumentation relations between assertions. //-------------------- ConflictResolution ---------------------------- //To record that two (or more?) assertions are in conflict //and the corrections that have been made to solve that conflict. typedef string ConflictResolutionStrategy; class ConflictResolution : EltWithoutCreator {//Correction has creator attribute ConflictResolutionStrategy strategy; reference input to conflictingNode of HasConflictingNode; reference output to correction of HasCorrection; }; association HasConflictingNode { end single ConflictResolution conflictingNodeOf; end set [2..*] of Assertion conflictingNode; }; association HasCorrection { end set [0..*] of ConflictResolution correctionOf; end set [0..*] of Correction correction; }; };