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Directory:Jon Awbrey/Papers/Propositional Equation Reasoning Systems
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Revision as of 15:24, 14 August 2009
84 bytes added
,
15:24, 14 August 2009
→Variations on a theme of transitivity
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expand figure captions
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| [[Image:Venn Diagram (P (Q)).jpg|500px]] || (44)
| [[Image:Venn Diagram (P (Q)).jpg|500px]] || (44)
|-
|-
−
| <math>\texttt{(} p \texttt{~(} q \texttt{))}</math>
+
| <math>
f_{207}(p, q, r) ~=~
\texttt{(} p \texttt{~(} q \texttt{))}</math>
|-
|-
|
|
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| [[Image:Venn Diagram (Q (R)).jpg|500px]] || (45)
| [[Image:Venn Diagram (Q (R)).jpg|500px]] || (45)
|-
|-
−
| <math>\texttt{(} q \texttt{~(} r \texttt{))}</math>
+
| <math>
f_{187}(p, q, r) ~=~
\texttt{(} q \texttt{~(} r \texttt{))}</math>
|-
|-
|
|
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| [[Image:Venn Diagram (P (R)).jpg|500px]] || (46)
| [[Image:Venn Diagram (P (R)).jpg|500px]] || (46)
|-
|-
−
| <math>\texttt{(} p \texttt{~(} r \texttt{))}</math>
+
| <math>
f_{175}(p, q, r) ~=~
\texttt{(} p \texttt{~(} r \texttt{))}</math>
|-
|-
|
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Line 2,421:
| [[Image:Venn Diagram (P (Q)) (Q (R)).jpg|500px]] || (47)
| [[Image:Venn Diagram (P (Q)) (Q (R)).jpg|500px]] || (47)
|-
|-
−
| <math>\texttt{(} p \texttt{~(} q \texttt{))~(} q \texttt{~(} r \texttt{))}</math>
+
| <math>
f_{139}(p, q, r) ~=~
\texttt{(} p \texttt{~(} q \texttt{))~(} q \texttt{~(} r \texttt{))}</math>
|}
|}
Jon Awbrey
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edits