1. 交换律: A ∪ B = B∪A, A ∩ B = B ∩ A
2. 结合律: (A ∪ B) ∪ C = A ∪ (B∪C) = A ∪ B∪C
(A ∩ B) ∩ C = A ∩ (B ∩ C) = A ∩ B ∩ C
3. 分配律: (A ∩ B) ∪C = (A∪C) ∩ (B∪C)
(A∪B) ∩ C = (A ∩ C) ∪(B ∩ C)
4. 德摩根律: (A ∩ B)' = A' ∪ B' (A ∪ B)' = A' ∩ B' (绝对形式)
A - (B ∩ C) = (A - B) ∪ (A - C) A - (B ∪ C) = (A - B) ∩ (A - C) (相对形式)
6. 吸收律: (A ∩ B) ∪ A = A (A ∪ B) ∩ A = A
7. 零律: A ∪ E = E , A ∩ E = A
8. 同一律: A ∪ Ø = A,A ∩ E= A , A ∪ E = E , A ∩ Ø = Ø
9. 矛盾律: A ∩ A' = Ø
10.排中律: A ∪ A' = E
11.余补律: Ø' = E , E' = Ø
12.双重否定律: (A')' = A
13.补交转换律: A - B = A ∩ B'
文式图表示:
转载于:https://www.cnblogs.com/ssooking/p/5851282.html
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