¥ý©ó©Î¦P®É (beforeOrEqual)
(beforeOrEqual point1 point2) means that point1
is identical with point2 or occurs before it on the universal timeline.
Ontology
SUMO / TEMPORAL-CONCEPTSClass(es)
Subrelation(s)
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Type restrictions
beforeOrEqual(®ÉÂI, ®ÉÂI)
Axioms (4)
- if obj ¬O ª«Åé ªº ¹ê¨Ò,
- then there exist ®ÉÂI time1,®ÉÂI time2 so that time1 (¨S) µo¥Í?{s} ¦b time2 ¤§«e and for all time holds: if time1 (¨S) µo¥Í?{s} ¦b time ©Î ¤§«e and time (¨S) µo¥Í?{s} ¦b time2 ©Î ¤§«e, then obj (¤£) ¦s¦bs time ´Á¶¡
.
(=>
(instance ?OBJ Object)
(exists
(?TIME1 ?TIME2)
(and
(instance ?TIME1 TimePoint)
(instance ?TIME2 TimePoint)
(before ?TIME1 ?TIME2)
(forall
(?TIME)
(=>
(and
(beforeOrEqual ?TIME1 ?TIME)
(beforeOrEqual ?TIME ?TIME2))
(time ?OBJ ?TIME))))))
If point1 (¨S) µo¥Í?{s} ¦b point2 ©Î ¤§«e, then point1 (¨S) µo¥Í?{s} ¦b point2 ¤§«e or point1 µ¥©ó point2.
(=>
(beforeOrEqual ?POINT1 ?POINT2)
(or
(before ?POINT1 ?POINT2)
(equal ?POINT1 ?POINT2)))
point2 ¦b point1 ©M point3 ©Î ¤§¶¡ if and only if point1 (¨S) µo¥Í?{s} ¦b point2 ©Î ¤§«e and point2 (¨S) µo¥Í?{s} ¦b point3 ©Î ¤§«e.
(<=>
(temporallyBetweenOrEqual ?POINT1 ?POINT2 ?POINT3)
(and
(beforeOrEqual ?POINT1 ?POINT2)
(beforeOrEqual ?POINT2 ?POINT3)))
- if artifact ¬O ©T©w¤H³yª« ªº ¹ê¨Ò,
- then there exists place so that for all time holds: if time (¨S) µo¥Í?{s} ¦b ""artifact ¦s¦b ªº ®É¶¡" ªº µ²§ô" ©Î ¤§«e and ""artifact ¦s¦b ªº ®É¶¡" ªº ¶}©l" (¨S) µo¥Í?{s} ¦b time ©Î ¤§«e, then "artifact ¦b time ªº time¦ì¸m" µ¥©ó place
.
(=>
(instance ?ARTIFACT StationaryArtifact)
(exists
(?PLACE)
(forall
(?TIME)
(=>
(and
(beforeOrEqual
?TIME
(EndFn
(WhenFn ?ARTIFACT)))
(beforeOrEqual
(BeginFn
(WhenFn ?ARTIFACT))
?TIME))
(equal
(WhereFn ?ARTIFACT ?TIME)
?PLACE)))))