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#LyX 2.2 created this file. For more info see http://www.lyx.org/
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2015-11-27 08:23:22 +00:00
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2015-11-12 15:33:25 +00:00
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|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
</row>
|
|
|
|
<row>
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
4
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
5
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
6
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
7
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
8
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
</row>
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset space \hfill{}
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset space \hfill{}
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Flex Minipage (Var. Width)
|
|
|
|
status open
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
\begin_inset Argument 1
|
|
|
|
status open
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
t
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Caption Standard
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
Multiplication
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
\begin_inset Tabular
|
|
|
|
<lyxtabular version="3" rows="6" columns="5">
|
|
|
|
<features tabularvalignment="middle">
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
<column alignment="center" valignment="top">
|
|
|
|
<column alignment="center" valignment="top">
|
|
|
|
<column alignment="center" valignment="top">
|
|
|
|
<column alignment="center" valignment="top">
|
|
|
|
<row>
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
1
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
2
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
3
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" rightline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
4
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
</row>
|
|
|
|
<row>
|
|
|
|
<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
1
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
1
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
2
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
3
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" rightline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
4
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
</row>
|
|
|
|
<row>
|
|
|
|
<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
2
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
2
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
4
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
6
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" rightline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
8
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
</row>
|
|
|
|
<row>
|
|
|
|
<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
3
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
3
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
6
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
9
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" rightline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
12
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
</row>
|
|
|
|
<row>
|
|
|
|
<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
4
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
4
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
8
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
12
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" rightline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
16
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
</row>
|
|
|
|
<row>
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
5
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
5
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
10
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
15
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
20
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
</cell>
|
|
|
|
</row>
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset space \hfill{}
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\begin_layout Section
|
|
|
|
Text side-by-side
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
\begin_inset Float figure
|
|
|
|
placement H
|
|
|
|
wide false
|
|
|
|
sideways false
|
|
|
|
status open
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
\begin_inset space \hfill{}
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Flex Minipage (Var. Width)
|
|
|
|
status open
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
\begin_inset Argument 1
|
|
|
|
status open
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
b
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Formula $\begin{aligned}M\Coloneqq x\mid\lambda xM\mid MN\end{aligned}
|
|
|
|
$
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Newline newline
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
(Subject to
|
|
|
|
\emph on
|
|
|
|
|
|
|
|
\begin_inset Formula $\alpha$
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
-equivalence
|
|
|
|
\emph default
|
|
|
|
)
|
|
|
|
\end_layout
|
|
|
|
|
|
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\begin_layout Plain Layout
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\begin_inset Caption Standard
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\begin_layout Plain Layout
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Terms
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\end_layout
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\end_inset
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\end_layout
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\end_inset
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\begin_inset space \hfill{}
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\end_inset
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\begin_inset space \hfill{}
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\end_inset
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\begin_inset Flex Minipage (Var. Width)
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status open
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\begin_layout Plain Layout
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\begin_inset Argument 1
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status open
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\begin_layout Plain Layout
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b
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\end_layout
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\end_inset
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\begin_inset Formula $\begin{aligned}(\lambda xM)N & \rightarrow M[N/x]\\
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\lambda x(Mx) & \rightarrow M
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\end{aligned}
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$
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\end_inset
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\begin_inset Caption Standard
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\begin_layout Plain Layout
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Reduction
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\end_layout
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\end_inset
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\end_layout
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\end_inset
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\begin_inset space \hfill{}
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\end_inset
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\end_layout
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\end_inset
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\end_layout
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\end_body
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\end_document
|