步驟 1

(True && False) || !True

輸出

False

步驟 2

Or[And[True, False], Not[True]]

輸出

False

步驟 3

BooleanConvert[(a && b) || (!a && b)]

輸出

(a && b) || ( !a && b)

步驟 4

Resolve[ForAll[{a, b}, Equivalent[(a && b) || (!a && b), b]], {a, b}, Booleans]

輸出

Resolve[ForAll[{a, b}, (a && b) || ( !a && b) ⧦ b], {a, b}, Booleans]

步驟 5

Resolve[ForAll[a, Exists[b, (a && b) || (!a && b)]], {a, b}, Booleans]

輸出

Resolve[ForAll[a, Exists[b, (a && b) || ( !a && b)]], {a, b}, Booleans]

步驟 6

Resolve[ForAll[{a, b}, Implies[a && b, b]], {a, b}, Booleans]

輸出

Resolve[ForAll[{a, b}, Implies[a && b, b]], {a, b}, Booleans]

步驟 7

SatisfiableQ[(a && b) && (!a || !b), {a, b}]

輸出

False

使用到的函式

Use logical operators