aggregate_cats.ocd

<CD xmlns="http://www.openmath.org/OpenMathCD">
<CDComment>

     This document is distributed in the hope that it will be useful, 
     but WITHOUT ANY WARRANTY; without even the implied warranty of 
     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.

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     document freely as a verbatim copy. Furthermore, the copyright
     holder permits you to develop any derived work from this document
     provided that the following conditions are met.
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          this document, and maintains a prominent reference in the 
          work to the original source.
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          both this document and the derived work are Content Dictionaries
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     If you have questions about this license please contact the OpenMath
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</CDComment>

<CDName>aggregate_cats</CDName>
<CDURL>http://www.openmath.org/cd/aggregate_cats.ocd</CDURL>
<CDReviewDate>2017-12-31</CDReviewDate>
<CDStatus>experimental</CDStatus>
<CDDate>2002-08-25</CDDate>
<CDVersion>0</CDVersion>
<CDRevision>1</CDRevision>
<CDComment>
  Author: Bill Naylor
</CDComment>

<Description>
A CD of basic aggregate category constructors. This CD holds
constructors of individual instances of the categories, with
defining properties of the categories.
</Description>

<CDDefinition>
  <Name>aggregateType</Name>
  <Description>
This symbol represents a generic type for aggregates (or collections
of objects.
  </Description>
</CDDefinition>

<CDDefinition>
  <Name>multisetType</Name>
  <Description>
This symbol represents the type of multisets.
  </Description>

  <CMP> multisetType is an aggregate type </CMP>

  <FMP>
    <OMOBJ xmlns="http://www.openmath.org/OpenMath">
      <OMA>
        <OMS cd="meta_cats" name="has"/>
        <OMS cd="aggregate_cats" name="multisetType"/>
        <OMS cd="aggregate_cats" name="aggregateType"/>
      </OMA>
    </OMOBJ>
  </FMP>
</CDDefinition>

<CDDefinition>
  <Name>setType</Name>
  <Description>
This symbol represents the type of sets.
  </Description>

  <CMP> setType is an aggregate type </CMP>

  <FMP>
    <OMOBJ xmlns="http://www.openmath.org/OpenMath">
      <OMA>
        <OMS cd="meta_cats" name="has"/>
        <OMS cd="aggregate_cats" name="setType"/>
        <OMS cd="aggregate_cats" name="aggregateType"/>
      </OMA>
    </OMOBJ>
  </FMP>
</CDDefinition>

<CDDefinition>
  <Name>finiteSetType</Name>
  <Description>
This symbol represents the type of finite sets.
  </Description>

  <CMP> finite set type has set type </CMP>

  <FMP>
    <OMOBJ xmlns="http://www.openmath.org/OpenMath">
      <OMA>
        <OMS cd="meta_cats" name="has"/>
        <OMS cd="aggregate_cats" name="finiteSetType"/>
        <OMS cd="aggregate_cats" name="setType"/>
      </OMA>
    </OMOBJ>
  </FMP>
</CDDefinition>

<CDDefinition>
  <Name>infiniteSetType</Name>
  <Description>
This symbol represents the type of infinite sets.
  </Description>

  <CMP> infinite set type has set type </CMP>

  <FMP>
    <OMOBJ xmlns="http://www.openmath.org/OpenMath">
      <OMA>
        <OMS cd="meta_cats" name="has"/>
        <OMS cd="aggregate_cats" name="infiniteSetType"/>
        <OMS cd="aggregate_cats" name="setType"/>
      </OMA>
    </OMOBJ>
  </FMP>

  <CMP> infinite set type does not have finite set type </CMP>
</CDDefinition>

<CDDefinition>
  <Name>continuousSetType</Name>
  <Description>
This symbol represents the type of continuous sets.
  </Description>

  <CMP> continuous set type has set type </CMP>

  <FMP>
    <OMOBJ xmlns="http://www.openmath.org/OpenMath">
      <OMA>
        <OMS cd="meta_cats" name="has"/>
        <OMS cd="aggregate_cats" name="continuousSetType"/>
        <OMS cd="aggregate_cats" name="setType"/>
      </OMA>
    </OMOBJ>
  </FMP>
</CDDefinition>

<CDDefinition>
  <Name>piecewiseContinuousSetType</Name>
  <Description>
This symbol represents the type of piecewise continuous sets.
  </Description>

  <CMP> piecewise continuous set type has set type </CMP>

  <FMP>
    <OMOBJ xmlns="http://www.openmath.org/OpenMath">
      <OMA>
        <OMS cd="meta_cats" name="has"/>
        <OMS cd="aggregate_cats" name="piecewiseContinuousSetType"/>
        <OMS cd="aggregate_cats" name="setType"/>
      </OMA>
    </OMOBJ>
  </FMP>
</CDDefinition>

<CDDefinition>
  <Name>non_continuousSetType</Name>
  <Description>
This symbol represents the type of non-continuous sets.
  </Description>

  <CMP> non-continuous set type has set type </CMP>

  <FMP>
    <OMOBJ xmlns="http://www.openmath.org/OpenMath">
      <OMA>
        <OMS cd="meta_cats" name="has"/>
        <OMS cd="aggregate_cats" name="non_continuousSetType"/>
        <OMS cd="aggregate_cats" name="setType"/>
      </OMA>
    </OMOBJ>
  </FMP>

  <CMP> non-continuous set type does not have continuous set type </CMP>

  <FMP>
    <OMOBJ xmlns="http://www.openmath.org/OpenMath">
      <OMA>
        <OMS cd="logic1" name="not"/>
        <OMA>
          <OMS cd="meta_cats" name="has"/>
          <OMS cd="aggregate_cats" name="non_continuousSetType"/>
          <OMS cd="aggregate_cats" name="continuousSetType"/>
        </OMA>
      </OMA>
    </OMOBJ>
  </FMP>
</CDDefinition>

<CDDefinition>
  <Name>discreteSetType</Name>
  <Description>
This symbol represents the type of discrete sets.
  </Description>

  <CMP> discrete set type has set type </CMP>

  <FMP>
    <OMOBJ xmlns="http://www.openmath.org/OpenMath">
      <OMA>
        <OMS cd="meta_cats" name="has"/>
        <OMS cd="aggregate_cats" name="discreteSetType"/>
        <OMS cd="aggregate_cats" name="setType"/>
      </OMA>
    </OMOBJ>
  </FMP>

  <CMP>
discrete set type does not have continuous set type or piecewise
continuous set type
  </CMP>

  <FMP>
    <OMOBJ xmlns="http://www.openmath.org/OpenMath">
      <OMA>
        <OMS cd="logic1" name="not"/>
        <OMA>
          <OMS cd="meta_cats" name="has"/>
          <OMS cd="aggregate_cats" name="discreteSetType"/>
          <OMS cd="aggregate_cats" name="continuousSetType"/>
        </OMA>
      </OMA>
    </OMOBJ>
  </FMP>
</CDDefinition>

</CD>