2023-04-21 20:17:52 +00:00
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\documentclass{article}
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2023-05-02 16:34:47 +00:00
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\input{../preamble}
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2023-04-21 20:17:52 +00:00
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\begin{document}
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\newcommand{\bird}[1]{\item{\makebox[5cm][l]{\textbf{#1:}}}}
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A list of birds as defined in \textit{To Mock a Mockingbird}.
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Refer to \href{Aviary.lean}{Smullyan/Aviary.lean} for implementation examples.
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\begin{itemize}
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\bird{Bald Eagle} $\hat{E}xy_1y_2y_3z_1z_2z_3 = x(y_1y_2y_3)(z_1z_2z_3)$
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\bird{Becard} $B_3xyzw = x(y(zw))$
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\bird{Blackbird} $B_1xyzw = x(yzw)$
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\bird{Bluebird} $Bxyz = x(yz)$
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\bird{Bunting} $B_2xyzwv = x(yzwv)$
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\bird{Cardinal Once Removed} $C^*xyzw = xywz$
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\bird{Cardinal} $Cxyz = xzy$
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\bird{Converse Warbler} $W'xy = yxx$
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\bird{Dickcissel} $D_1xyzwv = xyz(wv)$
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\bird{Double Mockingbird} $M_2xy = xy(xy)$
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\bird{Dove} $Dxyzw = xy(zw)$
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\bird{Dovekie} $D_2xyzwv = x(yz)(wv)$
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\bird{Eagle} $Exyzwv = xy(zwv)$
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\bird{Finch Once Removed} $F^*xyzw = xwzy$
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\bird{Finch} $Fxyz = zyx$
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\bird{Goldfinch} $Gxyzw = xw(yz)$
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\bird{Hummingbird} $Hxyz = xyzy$
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\bird{Identity Bird} $Ix = x$
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\bird{Kestrel} $Kxy = x$
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\bird{Lark} $Lxy = x(yy)$
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\bird{Mockingbird} $Mx = xx$
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\bird{Owl} $Oxy = y(xy)$
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\bird{Phoenix} $\Phi xyzw = x(yw)(zw)$
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\bird{Psi Bird} $\Psi xyzw = x(yz)(yw)$
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\bird{Quacky Bird} $Q_4xyz = z(yx)$
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\bird{Queer Bird} $Qxyz = y(xz)$
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\bird{Quirky Bird} $Q_3xyz = z(xy)$
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\bird{Quixotic Bird} $Q_1xyz = x(zy)$
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\bird{Quizzical Bird} $Q_2xyz = y(zx)$
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\bird{Robin Once Removed} $R^*xyzw = xzwy$
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\bird{Robin} $Rxyz = yzx$
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\bird{Sage Bird} $\Theta x = x(\Theta x)$
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\bird{Starling} $Sxyz = xz(yz)$
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\bird{Thrush} $Txy = yx$
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\bird{Turing Bird} $Uxy = y(xxy)$
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\bird{Vireo Once Removed} $V^*xyzw = xwyz$
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\bird{Vireo} $Vxyz = zxy$
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\bird{Warbler} $Wxy = xyy$
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\end{itemize}
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\end{document}
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