bookshelf/MockMockingbird/Aviary.tex

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\documentclass{article}
2023-04-22 20:20:37 +00:00
\input{../../preamble}
\begin{document}
\newcommand{\bird}[1]{\item{\makebox[5cm][l]{\textbf{#1:}}}}
A list of birds as defined in \textit{To Mock a Mockingbird}.
Refer to \href{Aviary.lean}{Smullyan/Aviary.lean} for implementation examples.
\begin{itemize}
\bird{Bald Eagle} $\hat{E}xy_1y_2y_3z_1z_2z_3 = x(y_1y_2y_3)(z_1z_2z_3)$
\bird{Becard} $B_3xyzw = x(y(zw))$
\bird{Blackbird} $B_1xyzw = x(yzw)$
\bird{Bluebird} $Bxyz = x(yz)$
\bird{Bunting} $B_2xyzwv = x(yzwv)$
\bird{Cardinal Once Removed} $C^*xyzw = xywz$
\bird{Cardinal} $Cxyz = xzy$
\bird{Converse Warbler} $W'xy = yxx$
\bird{Dickcissel} $D_1xyzwv = xyz(wv)$
\bird{Double Mockingbird} $M_2xy = xy(xy)$
\bird{Dove} $Dxyzw = xy(zw)$
\bird{Dovekie} $D_2xyzwv = x(yz)(wv)$
\bird{Eagle} $Exyzwv = xy(zwv)$
\bird{Finch Once Removed} $F^*xyzw = xwzy$
\bird{Finch} $Fxyz = zyx$
\bird{Goldfinch} $Gxyzw = xw(yz)$
\bird{Hummingbird} $Hxyz = xyzy$
\bird{Identity Bird} $Ix = x$
\bird{Kestrel} $Kxy = x$
\bird{Lark} $Lxy = x(yy)$
\bird{Mockingbird} $Mx = xx$
\bird{Owl} $Oxy = y(xy)$
\bird{Phoenix} $\Phi xyzw = x(yw)(zw)$
\bird{Psi Bird} $\Psi xyzw = x(yz)(yw)$
\bird{Quacky Bird} $Q_4xyz = z(yx)$
\bird{Queer Bird} $Qxyz = y(xz)$
\bird{Quirky Bird} $Q_3xyz = z(xy)$
\bird{Quixotic Bird} $Q_1xyz = x(zy)$
\bird{Quizzical Bird} $Q_2xyz = y(zx)$
\bird{Robin Once Removed} $R^*xyzw = xzwy$
\bird{Robin} $Rxyz = yzx$
\bird{Sage Bird} $\Theta x = x(\Theta x)$
\bird{Starling} $Sxyz = xz(yz)$
\bird{Thrush} $Txy = yx$
\bird{Turing Bird} $Uxy = y(xxy)$
\bird{Vireo Once Removed} $V^*xyzw = xwyz$
\bird{Vireo} $Vxyz = zxy$
\bird{Warbler} $Wxy = xyy$
\end{itemize}
\end{document}