12,123
edits
Changes
→Wiki Tables
A → dA<br>
A → dA<br>
A ← dA<br>
A ← dA<br>
A ∨ dA
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| f<sub>3</sub>
| g<sub>15</sub>
| 1 1 1 1
| (( ))
| True
| 1
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<br>
{| align="center" border="1" cellpadding="6" cellspacing="0" style="background:#f8f8ff; font-weight:bold; text-align:center; width:90%"
|+ '''Table 14. Differential Propositions'''
|- style="background:#f0f0ff"
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| align="right" | A :
| 1 1 0 0
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|- style="background:#f0f0ff"
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| align="right" | dA :
| 1 0 1 0
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|-
| f<sub>0</sub>
| g<sub>0</sub>
| 0 0 0 0
| ( )
| False
| 0
|-
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{|
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<br>
<br>
<br>
|}
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{|
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g<sub>1</sub><br>
g<sub>2</sub><br>
g<sub>4</sub><br>
g<sub>8</sub>
|}
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{|
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0 0 0 1<br>
0 0 1 0<br>
0 1 0 0<br>
1 0 0 0
|}
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{|
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(A)(dA)<br>
(A) dA <br>
A (dA)<br>
A dA
|}
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{|
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Neither A nor dA<br>
Not A but dA<br>
A but not dA<br>
A and dA
|}
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{|
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¬A ∧ ¬dA<br>
¬A ∧ dA<br>
A ∧ ¬dA<br>
A ∧ dA
|}
|-
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{|
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f<sub>1</sub><br>
f<sub>2</sub>
|}
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{|
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g<sub>3</sub><br>
g<sub>12</sub>
|}
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{|
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0 0 1 1<br>
1 1 0 0
|}
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{|
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(A)<br>
A
|}
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{|
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Not A<br>
A
|}
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{|
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¬A<br>
A
|}
|-
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{|
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<br>
|}
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{|
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g<sub>6</sub><br>
g<sub>9</sub>
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{|
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0 1 1 0<br>
1 0 0 1
|}
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{|
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(A, dA)<br>
((A, dA))
|}
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{|
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A not equal to dA<br>
A equal to dA
|}
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{|
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A ≠ dA<br>
A = dA
|}
|-
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{|
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<br>
|}
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{|
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g<sub>5</sub><br>
g<sub>10</sub>
|}
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{|
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0 1 0 1<br>
1 0 1 0
|}
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{|
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(dA)<br>
dA
|}
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{|
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Not dA<br>
dA
|}
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{|
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¬dA<br>
dA
|}
|-
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{|
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<br>
<br>
<br>
|}
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{|
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g<sub>7</sub><br>
g<sub>11</sub><br>
g<sub>13</sub><br>
g<sub>14</sub>
|}
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{|
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0 1 1 1<br>
1 0 1 1<br>
1 1 0 1<br>
1 1 1 0
|}
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{|
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(A dA)<br>
(A (dA))<br>
((A) dA)<br>
((A)(dA))
|}
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{|
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Not both A and dA<br>
Not A without dA<br>
Not dA without A<br>
A or dA
|}
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{|
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¬A ∨ ¬dA<br>
A ⇒ dA<br>
A ⇐ dA<br>
A ∨ dA
A ∨ dA
|}
|}