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Sigma KEE - MinFn
?NUMBER1 ?NUMBER2) is the smallest of ?NUMBER1 and ?NUMBER2. In cases where ?NUMBER1 is equal to ?NUMBER2,
returns one of its arguments.
Properties or qualities as distinguished from any particular embodiment of the properties/qualities in a physical medium. Instances of Abstract can be said to exist in the same sense as mathematical objects such as sets and relations, but they cannot exist at a particular place and time without some physical encoding or embodiment.
is associative if bracketing has no effect on the value returned by the
. More precisely, a
?FUNCTION is associative just in case (?FUNCTION ?INST1 (?FUNCTION ?INST2 ?INST3)) is equal to (?FUNCTION (?FUNCTION ?INST1 ?INST2) ?INST3), for all ?INST1, ?INST2, and ?INST3.
s that require two arguments.
is commutative if the ordering of the arguments of the function has no effect on the value returned by the function. More precisely, a function ?FUNCTION is commutative just in case (?FUNCTION ?INST1 ?INST2) is equal to (?FUNCTION ?INST2 ?INST1), for all ?INST1 and ?INST2.
The universal class of individuals. This is the root node of the ontology.
is a term-forming
that maps from a n-tuple of arguments to a range and that associates this n-tuple with at most one range element. Note that the range is a
, and each element of the range is an instance of the
The class of
s whose properties can be inherited downward in the class hierarchy via the
of relations. There are two kinds of
s both denote sets of ordered n-tuples. The difference between these two
es is that
s cover formula-forming operators, while
s cover term-forming operators.
single valued relation
just in case an assignment of values to every argument position except the last one determines at most one assignment for the last argument position. Note that not all
s relate three items. The two
total valued relation
just in case there exists an assignment for the last argument position of the
given any assignment of values to every argument position except the last one. Note that declaring a
to be both a
means that it is a total function.
Belongs to Class
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