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traditionalLogic
KB Term:
Sigma KEE - AntisymmetricRelation
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AntisymmetricRelation
BinaryRelation
?REL is an
AntisymmetricRelation
if for distinct ?INST1 and ?INST2, (?REL ?INST1 ?INST2) implies not (?REL ?INST2 ?INST1). In other words, for all ?INST1 and ?INST2, (?REL ?INST1 ?INST2) and (?REL ?INST2 ?INST1) imply that ?INST1 and ?INST2 are identical. Note that it is possible for an
AntisymmetricRelation
to be a
ReflexiveRelation
.
Relationships
Parents
BinaryRelation
BinaryRelation
s are relations that are true only of pairs of things.
BinaryRelation
s are represented as slots in frame systems.
Children
AsymmetricRelation
A
BinaryRelation
is asymmetric if and only if it is both an
AntisymmetricRelation
and an
IrreflexiveRelation
.
PartialOrderingRelation
A
BinaryRelation
is a partial ordering if it is a
ReflexiveRelation
, an
AntisymmetricRelation
, and a
TransitiveRelation
.
Instances
keyName
(
keyName
?S1 ?S2) means that ?S1 is the
subString
of ?S2 (i.e., the component name) typically used for alphabetical name indexing.
legalGuardian
(
holdsDuring
?T1 (
legalGuardian
?H1 ?H2)) means that during the time ?T1, ?H2 has legal authority over ?H1, and is responsible for looking after ?H1's interests.
located
(
located
?OBJ1 ?OBJ2) means that ?OBJ1 is
partlyLocated
at ?OBJ2, and there is no
part
of ?OBJ1 that is not
located
at ?OBJ2.
stored
(
stored
?REC ?OBJ) means that some
ContentBearingObject
, encoded in some format, is saved in some
DataStorageDevice
and can be accessed in some future date.
subString
(
subString
?
SymbolicString
-1 ?
SymbolicString
-2) means that ?
SymbolicString
-1 is
part
of ?
SymbolicString
-2. ?
SymbolicString
-2 includes all the same
Character
s as ?
SymbolicString
-1 and in the same order, but ?
SymbolicString
-2 may include more
Character
s than ?
SymbolicString
-1. See also
inString
.
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Sigma version 3.0 is
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produced by
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and its partners