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Directory:Jon Awbrey/Papers/Propositions As Types
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Revision as of 03:06, 28 March 2009
168 bytes added
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03:06, 28 March 2009
→Classical Propositional Calculus
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===Classical Propositional Calculus===
===Classical Propositional Calculus===
−
<
pre
>
+
{| align="center" cellpadding="8" width="90%"
<
!--QUOTE--
>
−
| If we want 'classical' propositional logic, we must also require:
|
|
−
| R7.
F <=
(
F <=
A)
->
A.
+
<p>If we want ''classical'' propositional logic, we must also require:
−
</
pre
>
+
|
-
+
|
+
<p><math>\begin{array}{ll}
+
\text{
R7.
} & (\bot \Leftarrow
(
\bot \Leftarrow
A)
) \to
A.
+
\end{array}
</
math
>
</p>
+
|-
+
|
+
<p>(Lambek & Scott, 50).
+
|}
===Category 2===
===Category 2===
Jon Awbrey
12,089
edits