OpenMath

OpenMath is an extensible standard for representing the semantics of mathematical objects.

https://openmath.github.io

OpenMath Signatures

Type System: sts
Content Dictionary: logic1
CD Signature File: logic1.sts

official 
               
Date:  1999-07-01
Author: David Carlisle

equivalent 

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
   <OMS name="mapsto" cd="sts"/>
    <OMS cd="setname2" name="Boolean"/>
    <OMS cd="setname2" name="Boolean"/>
    <OMS cd="setname2" name="Boolean"/>
 </OMA>
</OMOBJ>
( Boolean Boolean >> Boolean )

Content Dictionary Entry.

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not 

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
   <OMS name="mapsto" cd="sts"/>
    <OMS cd="setname2" name="Boolean"/>
    <OMS cd="setname2" name="Boolean"/>
 </OMA>
</OMOBJ>
( Boolean >> Boolean )

Content Dictionary Entry.

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and 

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
  <OMS name="mapsto" cd="sts"/>
   <OMA>
    <OMS name="nassoc" cd="sts"/>
     <OMS cd="setname2" name="Boolean"/>
   </OMA>
  <OMS cd="setname2" name="Boolean"/>
 </OMA>
</OMOBJ>
( ( Boolean *assoc ) >> Boolean )

Content Dictionary Entry.

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nand 

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
  <OMS name="mapsto" cd="sts"/>
   <OMA>
    <OMS name="nassoc" cd="sts"/>
     <OMS cd="setname2" name="Boolean"/>
   </OMA>
  <OMS cd="setname2" name="Boolean"/>
 </OMA>
</OMOBJ>
( ( Boolean *assoc ) >> Boolean )

Content Dictionary Entry.

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xor 

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
  <OMS name="mapsto" cd="sts"/>
   <OMA>
    <OMS name="nassoc" cd="sts"/>
     <OMS cd="setname2" name="Boolean"/>
    </OMA>
  <OMS cd="setname2" name="Boolean"/>
 </OMA>
</OMOBJ>
( ( Boolean *assoc ) >> Boolean )

Content Dictionary Entry.

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xnor 

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
  <OMS name="mapsto" cd="sts"/>
   <OMA>
    <OMS name="nassoc" cd="sts"/>
     <OMS cd="setname2" name="Boolean"/>
    </OMA>
  <OMS cd="setname2" name="Boolean"/>
 </OMA>
</OMOBJ>
( ( Boolean *assoc ) >> Boolean )

Content Dictionary Entry.

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or 

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
  <OMS name="mapsto" cd="sts"/>
   <OMA>
    <OMS name="nassoc" cd="sts"/>
     <OMS cd="setname2" name="Boolean"/>
    </OMA>
  <OMS cd="setname2" name="Boolean"/>
 </OMA>
</OMOBJ>
( ( Boolean *assoc ) >> Boolean )

Content Dictionary Entry.

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nor 

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
  <OMS name="mapsto" cd="sts"/>
   <OMA>
    <OMS name="nassoc" cd="sts"/>
     <OMS cd="setname2" name="Boolean"/>
    </OMA>
  <OMS cd="setname2" name="Boolean"/>
 </OMA>
</OMOBJ>
( ( Boolean *assoc ) >> Boolean )

Content Dictionary Entry.

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implies 

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
   <OMS name="mapsto" cd="sts"/>
    <OMS cd="setname2" name="Boolean"/>
    <OMS cd="setname2" name="Boolean"/>
    <OMS cd="setname2" name="Boolean"/>
 </OMA>
</OMOBJ>
( Boolean Boolean >> Boolean )

Content Dictionary Entry.

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true 

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMS cd="setname2" name="Boolean"/>
</OMOBJ>
Boolean

Content Dictionary Entry.

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false 

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMS cd="setname2" name="Boolean"/>
</OMOBJ>
Boolean

Content Dictionary Entry.

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