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Information and Logic
Algebra of Subsets : Operations
+ is union of sets: ∪
·is intersection of sets: ∩
Complement
Elements: all possible subsets of S (there are 2^{ s } subsets)
1 is the set S
0 is the empty set
+ is union of sets
·
is intersection of sets
Example:
Elements:
Complement:
Union
Intersection
Is the Algebra of Subsets Boolean?
Union
Intersection
Is the Algebra of Subsets Boolean?
union and intersection are commutative
Absorption Theorem
Theorem 2:
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