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VincentOostelbos

Tabular environment for beta reductions

Nov 15th, 2015
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Latex 0.61 KB | None | 0 0
  1. \begin{tabular}{lll}
  2. $\hat{\theta}(c_0 \: (c_1 \: (c_1 \: c_2)))$ & = & $\lambda q.(q \: \lambda x \lambda y.(x + y)) \: ( \lambda q' \lambda f.(q' \lambda x' \lambda y'.(f \: (a + x' + b) \: (c + y' + d))) \: ( \lambda q'' \lambda f'.(q'' \lambda x'' \lambda y''.(f' \: (a + x'' + b) \: (c + y'' + d)))$ \\
  3. & & $ \lambda f''.(f'' \: \lambda i.(i) \: \lambda i'.(i'))))$ \\
  4. & $\rightarrow_\beta$ & $\lambda q.(q \: \lambda x \lambda y.(x + y)) \: ( \lambda q' \lambda f.(q' \lambda x' \lambda y'.(f \: (a + x' + b) \: (c + y' + d))) \: ( \lambda f'.(\lambda f''.(f'' \: \lambda i.(i) \: \lambda i'.(i'))$ \\
  5. \end{tabular}
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