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Directory talk:Jon Awbrey/Papers/Differential Logic : Introduction
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Revision as of 05:10, 30 June 2009
312 bytes removed
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05:10, 30 June 2009
→Original Version
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\\[4pt]
\\[4pt]
\operatorname{no}~ a ~\operatorname{sans}~ b
\operatorname{no}~ a ~\operatorname{sans}~ b
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\end{matrix}</math>
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|-
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|
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<pre>
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o-------------------o
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| |
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| a b |
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| o---o |
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| \ / |
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| @ |
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| |
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o-------------------o
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</pre>
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| <math>\texttt{(} a, b \texttt{)}</math>
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|
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<math>\begin{matrix}
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a ~\operatorname{exclusive~or}~ b
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\\[4pt]
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a ~\operatorname{not~equal~to}~ b
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\end{matrix}</math>
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|-
+
|
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<pre>
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o-------------------o
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| |
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| a b |
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| o---o |
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| \ / |
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| o |
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| | |
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| @ |
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| |
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o-------------------o
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</pre>
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| <math>\texttt{((} a, b \texttt{))}</math>
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|
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<math>\begin{matrix}
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a ~\operatorname{if~and~only~if}~ b
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\\[4pt]
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a ~\operatorname{equivalent~to}~ b
\end{matrix}</math>
\end{matrix}</math>
|}
|}
<pre>
<pre>
−
o----o-------------------o-------------------o-------------------o
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| | | | |
−
| | a b | | |
−
| | o---o | | a exclusive-or b. |
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| | \ / | | |
−
| 8 | @ | ( a , b ) | a not equal to b. |
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| | | | |
−
o----o-------------------o-------------------o-------------------o
−
| | | | |
−
| | a b | | |
−
| | o---o | | |
−
| | \ / | | |
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| | o | | a if & only if b. |
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| | | | | |
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| 9 | @ | (( a , b )) | a equates with b. |
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| | | | |
o----o-------------------o-------------------o-------------------o
o----o-------------------o-------------------o-------------------o
| | | | |
| | | | |
Jon Awbrey
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