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Church's formal system used in computatability, programming languages and proof theory to represent effective functions, programs and their computation, and proofs.

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Translation from basic While-language to $\lambda$-calculus

Here is the toy language I am going to use. Note that locations are numbered. $$ A := n \quad | \quad x_k \quad | \quad A_1 + A_2 \quad | \quad ... \text{ (where $n,k ∈ \mathbb{N})$ } $$ $$ …
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