Lambda Calculus Research

Lambda calculus demonstrates computational completeness by simulating any Turing machine via Church encoding. This is shown through constructing recursive functions, natural number arithmetic, and conditional logic purely through λ-abstractions.

Y = λf. (λx. f (x x)) (λx. f (x x)) -- Fixed-point combinator

• • Tiling simulators for visual reductions
• • Combinator conversion SKI analysis
• • Interactive type inference visualizations

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