math - Encoding mathematical properties in RDF -

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i have been trying find solution adding relationships, such x has unit a < 20 existing ontology, but, not find solution far.

an existing knowledge graph - rdf - has many concepts , relationships. in attempt improve accuracy of inferences, trying add key properties few of concepts.

example:

concept x causes concept y. and, know concept y has property abc < 30 always.

please suggest on how add kind of relationships few concepts in knowledge graph - rdf

as mentioned in answer functions manipulate rdf collections in sparql, can mathematics in sparql, query language rdf. encoding arbitrary mathematical formulas (which title suggests), might interested in

wenzel, ken, , heiner reinhardt. "mathematical computations linked data applications openmath." joint proceedings of 24th workshop on openmath , 7th workshop on mathematical user interfaces (mathui). 2012.

all said, you're describing here (that value of of property have value less number), expressible in owl. particular situation was:

concept x causes concept y. and, know concept y has property abc < 30 always.

i'm not sure mean concept causing another, can every instance of y has values less 30 property abc. that's pretty straightforward. it's axiom (in manchester syntax)

y subclassof abc xsd:integer[< 30]

and in dl syntax:

y ⊑ ∀abc.xsd:integer[< 30]

in protégé looks like:

facet subclass axiom

and in rdf representation of owl ontology (in turtle , rdf/xml):

@prefix :      <https://stackoverflow.com/q/24134785/1281433/facets#> . @prefix owl:   <http://www.w3.org/2002/07/owl#> . @prefix rdf:   <http://www.w3.org/1999/02/22-rdf-syntax-ns#> . @prefix xsd:   <http://www.w3.org/2001/xmlschema#> . @prefix rdfs:  <http://www.w3.org/2000/01/rdf-schema#> .  :abc          owl:datatypeproperty .  <https://stackoverflow.com/q/24134785/1281433/facets>               owl:ontology .  :y                     owl:class ;         rdfs:subclassof  [                  owl:restriction ;                            owl:allvaluesfrom  [                     rdfs:datatype ;                                                 owl:ondatatype        xsd:integer ;                                                 owl:withrestrictions  ( [ xsd:maxexclusive                                                                   30 ] )                                               ] ;                            owl:onproperty     :abc                          ] . 
<rdf:rdf     xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"     xmlns="https://stackoverflow.com/q/24134785/1281433/facets#"     xmlns:owl="http://www.w3.org/2002/07/owl#"     xmlns:rdfs="http://www.w3.org/2000/01/rdf-schema#"     xmlns:xsd="http://www.w3.org/2001/xmlschema#">   <owl:ontology rdf:about="https://stackoverflow.com/q/24134785/1281433/facets"/>   <owl:class rdf:about="https://stackoverflow.com/q/24134785/1281433/facets#y">     <rdfs:subclassof>       <owl:restriction>         <owl:onproperty>           <owl:datatypeproperty rdf:about="https://stackoverflow.com/q/24134785/1281433/facets#abc"/>         </owl:onproperty>         <owl:allvaluesfrom>           <rdfs:datatype>             <owl:ondatatype rdf:resource="http://www.w3.org/2001/xmlschema#integer"/>             <owl:withrestrictions rdf:parsetype="collection">               <rdf:description>                 <xsd:maxexclusive rdf:datatype="http://www.w3.org/2001/xmlschema#integer"                 >30</xsd:maxexclusive>               </rdf:description>             </owl:withrestrictions>           </rdfs:datatype>         </owl:allvaluesfrom>       </owl:restriction>     </rdfs:subclassof>   </owl:class> </rdf:rdf>

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