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, 19:14, 29 May 2009
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| | | f<sub>15</sub> || f<sub>1111</sub> || 1 1 1 1 || (( )) || true || 1 | | | f<sub>15</sub> || f<sub>1111</sub> || 1 1 1 1 || (( )) || true || 1 |
| | + | |} |
| | + | |
| | + | <br> |
| | + | |
| | + | {| align="center" border="1" cellpadding="6" cellspacing="0" style="font-weight:bold; text-align:center; width:90%" |
| | + | |+ '''Table 14. Differential Propositions''' |
| | + | |- style="background:ghostwhite" |
| | + | | |
| | + | | align="right" | A : |
| | + | | 1 1 0 0 |
| | + | | |
| | + | | |
| | + | | |
| | + | |- style="background:ghostwhite" |
| | + | | |
| | + | | align="right" | dA : |
| | + | | 1 0 1 0 |
| | + | | |
| | + | | |
| | + | | |
| | + | |- |
| | + | | f<sub>0</sub> |
| | + | | g<sub>0</sub> |
| | + | | 0 0 0 0 |
| | + | | ( ) |
| | + | | False |
| | + | | 0 |
| | + | |- |
| | + | | |
| | + | {| |
| | + | | |
| | + | <br> |
| | + | <br> |
| | + | <br> |
| | + | |
| | + | |} |
| | + | | |
| | + | {| |
| | + | | |
| | + | g<sub>1</sub><br> |
| | + | g<sub>2</sub><br> |
| | + | g<sub>4</sub><br> |
| | + | g<sub>8</sub> |
| | + | |} |
| | + | | |
| | + | {| |
| | + | | |
| | + | 0 0 0 1<br> |
| | + | 0 0 1 0<br> |
| | + | 0 1 0 0<br> |
| | + | 1 0 0 0 |
| | + | |} |
| | + | | |
| | + | {| |
| | + | | |
| | + | (A)(dA)<br> |
| | + | (A) dA <br> |
| | + | A (dA)<br> |
| | + | A dA |
| | + | |} |
| | + | | |
| | + | {| |
| | + | | |
| | + | Neither A nor dA<br> |
| | + | Not A but dA<br> |
| | + | A but not dA<br> |
| | + | A and dA |
| | + | |} |
| | + | | |
| | + | {| |
| | + | | |
| | + | ¬A ∧ ¬dA<br> |
| | + | ¬A ∧ dA<br> |
| | + | A ∧ ¬dA<br> |
| | + | A ∧ dA |
| | + | |} |
| | + | |- |
| | + | | |
| | + | {| |
| | + | | |
| | + | f<sub>1</sub><br> |
| | + | f<sub>2</sub> |
| | + | |} |
| | + | | |
| | + | {| |
| | + | | |
| | + | g<sub>3</sub><br> |
| | + | g<sub>12</sub> |
| | + | |} |
| | + | | |
| | + | {| |
| | + | | |
| | + | 0 0 1 1<br> |
| | + | 1 1 0 0 |
| | + | |} |
| | + | | |
| | + | {| |
| | + | | |
| | + | (A)<br> |
| | + | A |
| | + | |} |
| | + | | |
| | + | {| |
| | + | | |
| | + | Not A<br> |
| | + | A |
| | + | |} |
| | + | | |
| | + | {| |
| | + | | |
| | + | ¬A<br> |
| | + | A |
| | + | |} |
| | + | |- |
| | + | | |
| | + | {| |
| | + | | |
| | + | <br> |
| | + | |
| | + | |} |
| | + | | |
| | + | {| |
| | + | | |
| | + | g<sub>6</sub><br> |
| | + | g<sub>9</sub> |
| | + | |} |
| | + | | |
| | + | {| |
| | + | | |
| | + | 0 1 1 0<br> |
| | + | 1 0 0 1 |
| | + | |} |
| | + | | |
| | + | {| |
| | + | | |
| | + | (A, dA)<br> |
| | + | ((A, dA)) |
| | + | |} |
| | + | | |
| | + | {| |
| | + | | |
| | + | A not equal to dA<br> |
| | + | A equal to dA |
| | + | |} |
| | + | | |
| | + | {| |
| | + | | |
| | + | A ≠ dA<br> |
| | + | A = dA |
| | + | |} |
| | + | |- |
| | + | | |
| | + | {| |
| | + | | |
| | + | <br> |
| | + | |
| | + | |} |
| | + | | |
| | + | {| |
| | + | | |
| | + | g<sub>5</sub><br> |
| | + | g<sub>10</sub> |
| | + | |} |
| | + | | |
| | + | {| |
| | + | | |
| | + | 0 1 0 1<br> |
| | + | 1 0 1 0 |
| | + | |} |
| | + | | |
| | + | {| |
| | + | | |
| | + | (dA)<br> |
| | + | dA |
| | + | |} |
| | + | | |
| | + | {| |
| | + | | |
| | + | Not dA<br> |
| | + | dA |
| | + | |} |
| | + | | |
| | + | {| |
| | + | | |
| | + | ¬dA<br> |
| | + | dA |
| | + | |} |
| | + | |- |
| | + | | |
| | + | {| |
| | + | | |
| | + | <br> |
| | + | <br> |
| | + | <br> |
| | + | |
| | + | |} |
| | + | | |
| | + | {| |
| | + | | |
| | + | g<sub>7</sub><br> |
| | + | g<sub>11</sub><br> |
| | + | g<sub>13</sub><br> |
| | + | g<sub>14</sub> |
| | + | |} |
| | + | | |
| | + | {| |
| | + | | |
| | + | 0 1 1 1<br> |
| | + | 1 0 1 1<br> |
| | + | 1 1 0 1<br> |
| | + | 1 1 1 0 |
| | + | |} |
| | + | | |
| | + | {| |
| | + | | |
| | + | (A dA)<br> |
| | + | (A (dA))<br> |
| | + | ((A) dA)<br> |
| | + | ((A)(dA)) |
| | + | |} |
| | + | | |
| | + | {| |
| | + | | |
| | + | Not both A and dA<br> |
| | + | Not A without dA<br> |
| | + | Not dA without A<br> |
| | + | A or dA |
| | + | |} |
| | + | | |
| | + | {| |
| | + | | |
| | + | ¬A ∨ ¬dA<br> |
| | + | A → dA<br> |
| | + | A ← dA<br> |
| | + | A ∨ dA |
| | + | |} |
| | + | |- |
| | + | | f<sub>3</sub> |
| | + | | g<sub>15</sub> |
| | + | | 1 1 1 1 |
| | + | | (( )) |
| | + | | True |
| | + | | 1 |
| | |} | | |} |
| | | | |